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path: root/src/slalib/sun67.htx_tar
blob: 5dabe5225886a0fae0815fff26628072a8d67e16 (plain) (blame)
ofshex dumpascii
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3320 42 3c 2f 41 3e 0a 3c 44 44 3e 54 68 65 20 6e 61 6d 65 20 69 73 6e 27 74 20 61 6e 20 61 63 72 6f B</A>.<DD>The.name.isn't.an.acro
3340 6e 79 6d 3b 0a 69 74 20 6a 75 73 74 20 73 74 61 6e 64 73 20 66 6f 72 20 60 60 53 75 62 70 72 6f nym;.it.just.stands.for.``Subpro
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3380 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a ................................
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33e0 3e 0a 3c 44 44 3e 4f 6e 65 20 66 72 61 6d 65 20 6e 6f 74 20 69 6e 63 6c 75 64 65 64 20 69 6e 0a >.<DD>One.frame.not.included.in.
3400 46 69 67 75 72 65 26 6e 62 73 70 3b 31 20 69 73 20 74 68 61 74 20 6f 66 20 74 68 65 20 48 69 70 Figure&nbsp;1.is.that.of.the.Hip
3420 70 61 72 63 6f 73 20 63 61 74 61 6c 6f 67 75 65 2e 20 20 54 68 69 73 20 69 73 20 63 75 72 72 65 parcos.catalogue...This.is.curre
3440 6e 74 6c 79 20 74 68 65 0a 62 65 73 74 20 61 76 61 69 6c 61 62 6c 65 20 69 6d 70 6c 65 6d 65 6e ntly.the.best.available.implemen
3460 74 61 74 69 6f 6e 20 69 6e 20 74 68 65 20 6f 70 74 69 63 61 6c 20 6f 66 20 74 68 65 20 3c 49 3e tation.in.the.optical.of.the.<I>
3480 49 6e 74 65 72 6e 61 74 69 6f 6e 61 6c 0a 43 65 6c 65 73 74 69 61 6c 20 52 65 66 65 72 65 6e 63 International.Celestial.Referenc
34a0 65 20 53 79 73 74 65 6d 3c 2f 49 3e 20 28 49 43 52 53 29 2c 20 77 68 69 63 68 20 69 73 20 62 61 e.System</I>.(ICRS),.which.is.ba
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3560 62 73 70 3b 6d 61 73 20 6f 72 20 62 65 74 74 65 72 20 61 72 65 20 72 65 71 75 69 72 65 64 2e 20 bsp;mas.or.better.are.required..
3580 20 4d 6f 72 65 20 64 65 74 61 69 6c 73 20 61 72 65 20 67 69 76 65 6e 20 69 6e 0a 53 65 63 74 69 .More.details.are.given.in.Secti
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35e0 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 3c 2f 50 52 45 3e 0a 3c 44 54 3e 3c 41 20 4e 41 4d ...............</PRE>.<DT><A.NAM
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3620 0a 3c 44 44 3e 57 69 74 68 0a 74 68 65 20 69 6e 74 72 6f 64 75 63 74 69 6f 6e 20 6f 66 20 74 68 .<DD>With.the.introduction.of.th
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3760 4a 32 30 30 30 20 46 4b 35 2c 20 61 6e 64 20 66 6f 72 20 6d 6f 73 74 20 70 72 61 63 74 69 63 61 J2000.FK5,.and.for.most.practica
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3800 53 65 63 74 69 6f 6e 20 34 2e 31 34 20 66 6f 72 20 66 75 72 74 68 65 72 20 64 65 74 61 69 6c 73 Section.4.14.for.further.details
3820 2e 0a 3c 50 52 45 3e 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e 0a 2e ..<PRE>.........................
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9bd80 6e 6f 64 65 31 31 2e 68 74 6d 6c 22 3e 41 63 6b 6e 6f 77 6c 65 64 67 65 6d 65 6e 74 73 3c 2f 41 node11.html">Acknowledgements</A
9bda0 3e 0a 3c 42 52 3e 0a 3c 42 3e 55 70 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 >.<BR>.<B>Up:</B>.<A.NAME="tex2h
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9bde0 55 43 54 49 4f 4e 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e 20 50 72 65 76 69 6f 75 73 3a 3c 2f 42 UCTION</A>.<BR>.<B>.Previous:</B
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9c360 0a 3c 42 52 3e 0a 3c 42 3e 20 4e 65 78 74 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 .<BR>.<B>.Next:</B>.<A.NAME="tex
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9c3e0 64 65 32 2e 68 74 6d 6c 22 3e 49 4e 54 52 4f 44 55 43 54 49 4f 4e 3c 2f 41 3e 0a 3c 42 52 3e 0a de2.html">INTRODUCTION</A>.<BR>.
9c400 3c 42 3e 20 50 72 65 76 69 6f 75 73 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 <B>.Previous:</B>.<A.NAME="tex2h
9c420 74 6d 6c 33 33 38 22 20 48 52 45 46 3d 22 6e 6f 64 65 39 2e 68 74 6d 6c 22 3e 46 75 74 75 72 65 tml338".HREF="node9.html">Future
9c440 20 56 65 72 73 69 6f 6e 73 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 3c 50 3e 0a 3c 50 3e 3c .Versions</A>.<BR>.<HR>.<P>.<P><
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9c480 44 44 52 45 53 53 3e 0a 3c 49 3e 53 4c 41 4c 49 42 20 2d 2d 2d 20 50 6f 73 69 74 69 6f 6e 61 6c DDRESS>.<I>SLALIB.---.Positional
9c4a0 20 41 73 74 72 6f 6e 6f 6d 79 20 4c 69 62 72 61 72 79 3c 42 52 3e 53 74 61 72 6c 69 6e 6b 20 55 .Astronomy.Library<BR>Starlink.U
9c4c0 73 65 72 20 4e 6f 74 65 20 36 37 3c 42 52 3e 50 2e 20 54 2e 20 57 61 6c 6c 61 63 65 3c 42 52 3e ser.Note.67<BR>P..T..Wallace<BR>
9c4e0 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d 6d 61 69 6c 3a 70 74 77 40 73 74 12.October.1999<BR>E-mail:ptw@st
9c500 61 72 2e 72 6c 2e 61 63 2e 75 6b 3c 2f 49 3e 0a 3c 2f 41 44 44 52 45 53 53 3e 0a 3c 2f 42 4f 44 ar.rl.ac.uk</I>.</ADDRESS>.</BOD
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a1ee0 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 /EM></TD>.<TH.ALIGN="LEFT"><B>D(
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a1f40 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 3)</TD>.</TR>.<TR.VALIGN="TOP"><
a1f60 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4a 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a TD.ALIGN="LEFT"><EM>J</EM></TD>.
a1f80 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>I</B></TD>.<
a1fa0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 73 74 61 74 75 73 3a 3c 2f TD.ALIGN="LEFT".NOWRAP>status:</
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a21a0 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 </TD>.<TD.ALIGN="LEFT".NOWRAP>..
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a2200 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 T><STRONG>NOTES:</STRONG>.<DD><D
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a2280 68 20 61 6c 6c 6f 77 65 64 20 49 54 59 50 45 20 76 61 6c 75 65 73 20 70 72 6f 64 75 63 65 20 61 h.allowed.ITYPE.values.produce.a
a22a0 20 6d 6f 64 65 6c 20 43 4f 45 46 46 53 20 77 68 69 63 68 0a 63 6f 6e 73 69 73 74 73 20 6f 66 20 .model.COEFFS.which.consists.of.
a22c0 73 69 78 20 63 6f 65 66 66 69 63 69 65 6e 74 73 2c 20 6e 61 6d 65 6c 79 20 74 68 65 20 7a 65 72 six.coefficients,.namely.the.zer
a22e0 6f 20 70 6f 69 6e 74 73 20 61 6e 64 2c 20 66 6f 72 0a 20 20 20 20 20 20 20 20 65 61 63 68 20 6f o.points.and,.for.........each.o
a2300 66 20 58 45 20 61 6e 64 20 59 45 2c 20 74 68 65 20 63 6f 65 66 66 69 63 69 65 6e 74 20 6f 66 20 f.XE.and.YE,.the.coefficient.of.
a2320 58 4d 20 61 6e 64 20 59 4d 2e 20 20 46 6f 72 20 49 54 59 50 45 3d 36 2c 0a 20 20 20 20 20 20 20 XM.and.YM...For.ITYPE=6,........
a2340 20 61 6c 6c 20 73 69 78 20 63 6f 65 66 66 69 63 69 65 6e 74 73 20 61 72 65 20 69 6e 64 65 70 65 .all.six.coefficients.are.indepe
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a25a0 4e 61 6d 69 6e 67 20 74 68 65 0a 20 20 20 20 20 20 20 20 73 69 78 20 65 6c 65 6d 65 6e 74 73 20 Naming.the.........six.elements.
a25c0 6f 66 20 43 4f 45 46 46 53 20 3c 49 3e 61 3c 2f 49 3e 2c 3c 49 3e 62 3c 2f 49 3e 2c 3c 49 3e 63 of.COEFFS.<I>a</I>,<I>b</I>,<I>c
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a27a0 63 79 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 6d 3c 2f 49 3e 3c 2f 53 55 42 3e 20 3c 42 52 3e 0a 20 cy</I><SUB><I>m</I></SUB>.<BR>..
a27c0 20 20 20 20 20 20 20 20 3c 49 3e 79 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 65 3c 2f 49 3e 3c 2f 53 ........<I>y</I><SUB><I>e</I></S
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a2860 3c 2f 49 3e 20 6f 70 74 69 6f 6e 20 28 49 54 59 50 45 3d 34 29 2c 20 74 68 65 0a 20 20 20 20 20 </I>.option.(ITYPE=4),.the......
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a28a0 3e 66 3c 2f 49 3e 2c 20 61 6e 64 20 6f 66 20 3c 49 3e 63 3c 2f 49 3e 20 61 6e 64 20 3c 49 3e 65 >f</I>,.and.of.<I>c</I>.and.<I>e
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a3ba0 20 20 20 20 53 65 69 64 65 6c 6d 61 6e 6e 26 6e 62 73 70 3b 3c 49 3e 65 74 26 6e 62 73 70 3b 61 ....Seidelmann&nbsp;<I>et&nbsp;a
a3bc0 6c 2e 3c 2f 49 3e 20 20 28 72 65 66 65 72 65 6e 63 65 26 6e 62 73 70 3b 33 29 20 61 72 65 20 75 l.</I>..(reference&nbsp;3).are.u
a3be0 73 65 64 20 63 61 6e 6f 6e 69 63 61 6c 6c 79 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 sed.canonically..<P>....<DT><STR
a3c00 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 ONG>CALL:</STRONG>.<DD><TT>CALL.
a3c20 73 6c 61 5f 46 4b 34 32 35 20 28 0a 20 20 20 20 20 20 20 20 20 52 31 39 35 30 2c 44 31 39 35 30 sla_FK425.(..........R1950,D1950
a3c40 2c 44 52 31 39 35 30 2c 44 44 31 39 35 30 2c 50 31 39 35 30 2c 56 31 39 35 30 2c 0a 20 20 20 20 ,DR1950,DD1950,P1950,V1950,.....
a3c60 20 20 20 20 20 52 32 30 30 30 2c 44 32 30 30 30 2c 44 52 32 30 30 30 2c 44 44 32 30 30 30 2c 50 .....R2000,D2000,DR2000,DD2000,P
a3c80 32 30 30 30 2c 56 32 30 30 30 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 2000,V2000)</TT>.<P>.......</DL>
a3ca0 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a .<P>.....<DL>.<DT><STRONG>GIVEN:
a3cc0 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 </STRONG>.<DD>.<BR>.<TABLE.CELLP
a3ce0 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 ADDING=3>.<TR.VALIGN="TOP"><TD.A
a3d00 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 31 39 35 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a LIGN="LEFT"><EM>R1950</EM></TD>.
a3d20 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c <TH.ALIGN="LEFT"><B>D</B></TH>.<
a3d40 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 30 2e 30 20 3c TD.ALIGN="LEFT".NOWRAP>B1950.0.<
a3d60 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e IMG.WIDTH="13".HEIGHT="14".ALIGN
a3d80 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 34 ="BOTTOM".BORDER="0"..SRC="img24
a3da0 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 .gif"..ALT="$\alpha$">.(radians)
a3dc0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
a3de0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 31 39 35 30 3c 2f 45 4d 3e 3c 2f 54 44 .ALIGN="LEFT"><EM>D1950</EM></TD
a3e00 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e >.<TD.ALIGN="LEFT"><B>D</B></TD>
a3e20 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 30 2e 30 .<TD.ALIGN="LEFT".NOWRAP>B1950.0
a3e40 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 .<IMG.WIDTH="10".HEIGHT="13".ALI
a3e60 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 GN="BOTTOM".BORDER="0"..SRC="img
a3e80 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 61 6e 23.gif"..ALT="$\delta$">.(radian
a3ea0 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c s)</TD>.</TR>.<TR.VALIGN="TOP"><
a3ec0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 52 31 39 35 30 3c 2f 45 4d 3e 3c TD.ALIGN="LEFT"><EM>DR1950</EM><
a3ee0 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f /TD>.<TD.ALIGN="LEFT"><B>D</B></
a3f00 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 TD>.<TD.ALIGN="LEFT".NOWRAP>B195
a3f20 30 2e 30 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d 0.0.proper.motion.in.<IMG.WIDTH=
a3f40 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 "13".HEIGHT="14".ALIGN="BOTTOM".
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a3f80 3d 22 24 5c 61 6c 70 68 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 74 72 6f 70 69 63 61 ="$\alpha$">(radians.per.tropica
a3fa0 6c 20 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 l.year)</TD>.</TR>.<TR.VALIGN="T
a3fc0 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 44 31 39 35 30 3c OP"><TD.ALIGN="LEFT"><EM>DD1950<
a3fe0 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c /EM></TD>.<TD.ALIGN="LEFT"><B>D<
a4000 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 /B></TD>.<TD.ALIGN="LEFT".NOWRAP
a4020 3e 42 31 39 35 30 2e 30 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 >B1950.0.proper.motion.in.<IMG.W
a4040 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 IDTH="10".HEIGHT="13".ALIGN="BOT
a4060 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 69 66 22 TOM".BORDER="0"..SRC="img23.gif"
a4080 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 74 72 ..ALT="$\delta$">(radians.per.tr
a40a0 6f 70 69 63 61 6c 20 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 opical.year)</TD>.</TR>.<TR.VALI
a40c0 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 31 GN="TOP"><TD.ALIGN="LEFT"><EM>P1
a40e0 39 35 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 950</EM></TD>.<TD.ALIGN="LEFT"><
a4100 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f B>D</B></TD>.<TD.ALIGN="LEFT".NO
a4120 57 52 41 50 3e 42 31 39 35 30 2e 30 20 70 61 72 61 6c 6c 61 78 20 28 61 72 63 73 65 63 29 3c 2f WRAP>B1950.0.parallax.(arcsec)</
a4140 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
a4160 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 56 31 39 35 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a LIGN="LEFT"><EM>V1950</EM></TD>.
a4180 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>D</B></TD>.<
a41a0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 30 2e 30 20 72 TD.ALIGN="LEFT".NOWRAP>B1950.0.r
a41c0 61 64 69 61 6c 20 76 65 6c 6f 63 69 74 79 20 28 6b 6d 26 6e 62 73 70 3b 73 3c 53 55 50 3e 2d 31 adial.velocity.(km&nbsp;s<SUP>-1
a41e0 3c 2f 53 55 50 3e 2c 20 2b 76 65 20 3d 20 6d 6f 76 69 6e 67 20 61 77 61 79 29 3c 2f 54 44 3e 0a </SUP>,.+ve.=.moving.away)</TD>.
a4200 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e </TR>.</TABLE></DL>.<P>.....<DL>
a4220 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a .<DT><STRONG>RETURNED:</STRONG>.
a4240 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a <DD>.<BR>.<TABLE.CELLPADDING=3>.
a4260 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <TR.VALIGN="TOP"><TD.ALIGN="LEFT
a4280 22 3e 3c 45 4d 3e 52 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d "><EM>R2000</EM></TD>.<TH.ALIGN=
a42a0 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 "LEFT"><B>D</B></TH>.<TD.ALIGN="
a42c0 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 3c 49 4d 47 20 57 49 44 54 48 3d LEFT".NOWRAP>J2000.0.<IMG.WIDTH=
a42e0 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 "13".HEIGHT="14".ALIGN="BOTTOM".
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a4320 3d 22 24 5c 61 6c 70 68 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 ="$\alpha$">.(radians)</TD>.</TR
a4340 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
a4360 46 54 22 3e 3c 45 4d 3e 44 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 FT"><EM>D2000</EM></TD>.<TD.ALIG
a4380 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e N="LEFT"><B>D</B></TD>.<TD.ALIGN
a43a0 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 3c 49 4d 47 20 57 49 44 54 ="LEFT".NOWRAP>J2000.0.<IMG.WIDT
a43c0 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d H="10".HEIGHT="13".ALIGN="BOTTOM
a43e0 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 ".BORDER="0"..SRC="img23.gif"..A
a4400 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f LT="$\delta$">.(radians)</TD>.</
a4420 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
a4440 4c 45 46 54 22 3e 3c 45 4d 3e 44 52 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 LEFT"><EM>DR2000</EM></TD>.<TD.A
a4460 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c LIGN="LEFT"><B>D</B></TD>.<TD.AL
a4480 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 70 72 6f 70 65 72 IGN="LEFT".NOWRAP>J2000.0.proper
a44a0 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 .motion.in.<IMG.WIDTH="13".HEIGH
a44c0 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 T="14".ALIGN="BOTTOM".BORDER="0"
a44e0 0a 20 53 52 43 3d 22 69 6d 67 32 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 ..SRC="img24.gif"..ALT="$\alpha$
a4500 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 61 6e 20 79 65 61 72 29 3c 2f 54 44 3e ">(radians.per.Julian.year)</TD>
a4520 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
a4540 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 44 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 N="LEFT"><EM>DD2000</EM></TD>.<T
a4560 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 D.ALIGN="LEFT"><B>D</B></TD>.<TD
a4580 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 70 72 6f .ALIGN="LEFT".NOWRAP>J2000.0.pro
a45a0 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 per.motion.in.<IMG.WIDTH="10".HE
a45c0 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d IGHT="13".ALIGN="BOTTOM".BORDER=
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a4620 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
a4640 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a LIGN="LEFT"><EM>P2000</EM></TD>.
a4660 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>D</B></TD>.<
a4680 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 70 TD.ALIGN="LEFT".NOWRAP>J2000.0.p
a46a0 61 72 61 6c 6c 61 78 20 28 61 72 63 73 65 63 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 arallax.(arcsec)</TD>.</TR>.<TR.
a46c0 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 VALIGN="TOP"><TD.ALIGN="LEFT"><E
a46e0 4d 3e 56 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 M>V2000</EM></TD>.<TD.ALIGN="LEF
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a4740 20 28 6b 6d 26 6e 62 73 70 3b 73 3c 53 55 50 3e 2d 31 3c 2f 53 55 50 3e 2c 20 2b 76 65 20 3d 20 .(km&nbsp;s<SUP>-1</SUP>,.+ve.=.
a4760 6d 6f 76 69 6e 67 20 61 77 61 79 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e moving.away)</TD>.</TR>.</TABLE>
a4780 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e </DL>.<P>......<DL>.<DT><STRONG>
a47a0 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e NOTES:</STRONG>.<DD><DL.COMPACT>
a47c0 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 .<DT>1..<DD>The.<IMG.WIDTH="13".
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a4920 20 72 61 74 68 65 72 20 74 68 61 6e 20 70 65 72 20 63 65 6e 74 75 72 79 2e 0a 3c 44 54 3e 32 2e .rather.than.per.century..<DT>2.
a4940 0a 3c 44 44 3e 43 6f 6e 76 65 72 73 69 6f 6e 20 66 72 6f 6d 20 42 65 73 73 65 6c 69 61 6e 20 65 .<DD>Conversion.from.Besselian.e
a4960 70 6f 63 68 20 31 39 35 30 2e 30 20 74 6f 20 4a 75 6c 69 61 6e 20 65 70 6f 63 68 0a 20 20 20 20 poch.1950.0.to.Julian.epoch.....
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a49a0 20 20 43 6f 6e 76 65 72 73 69 6f 6e 73 20 69 6e 76 6f 6c 76 69 6e 67 20 6f 74 68 65 72 0a 20 20 ..Conversions.involving.other...
a49c0 20 20 20 20 20 20 65 70 6f 63 68 73 20 77 69 6c 6c 20 72 65 71 75 69 72 65 20 75 73 65 20 6f 66 ......epochs.will.require.use.of
a49e0 20 74 68 65 20 61 70 70 72 6f 70 72 69 61 74 65 20 70 72 65 63 65 73 73 69 6f 6e 2c 0a 20 20 20 .the.appropriate.precession,....
a4a00 20 20 20 20 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 2c 20 61 6e 64 20 45 2d 74 65 72 6d 73 20 .....proper.motion,.and.E-terms.
a4a20 72 6f 75 74 69 6e 65 73 20 62 65 66 6f 72 65 20 61 6e 64 2f 6f 72 20 61 66 74 65 72 20 46 4b 34 routines.before.and/or.after.FK4
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a4a60 44 44 3e 49 6e 20 74 68 65 20 46 4b 34 20 63 61 74 61 6c 6f 67 75 65 20 74 68 65 20 70 72 6f 70 DD>In.the.FK4.catalogue.the.prop
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a4b00 6f 66 20 74 68 65 20 70 6f 6c 65 73 20 64 6f 20 6e 6f 74 20 69 6e 63 6c 75 64 65 20 74 68 65 20 of.the.poles.do.not.include.the.
a4b20 3c 49 3e 64 69 66 66 65 72 65 6e 74 69 61 6c 0a 20 20 20 20 20 20 20 20 45 2d 74 65 72 6d 73 3c <I>differential.........E-terms<
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a5f80 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e .<DL>.<DT><STRONG>ACTION:</STRON
a5fa0 47 3e 0a 3c 44 44 3e 43 6f 6e 76 65 72 74 20 42 31 39 35 30 2e 30 20 46 4b 34 20 73 74 61 72 20 G>.<DD>Convert.B1950.0.FK4.star.
a5fc0 64 61 74 61 20 74 6f 20 4a 32 30 30 30 2e 30 20 46 4b 35 20 61 73 73 75 6d 69 6e 67 20 7a 65 72 data.to.J2000.0.FK5.assuming.zer
a5fe0 6f 0a 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 74 68 65 20 46 4b 35 20 66 72 61 6d 65 o.proper.motion.in.the.FK5.frame
a6000 2e 0a 20 20 20 20 20 20 20 20 20 54 68 69 73 20 72 6f 75 74 69 6e 65 20 63 6f 6e 76 65 72 74 73 ...........This.routine.converts
a6020 20 73 74 61 72 73 20 66 72 6f 6d 20 74 68 65 20 6f 6c 64 2c 20 42 65 73 73 65 6c 2d 4e 65 77 63 .stars.from.the.old,.Bessel-Newc
a6040 6f 6d 62 2c 20 46 4b 34 0a 20 20 20 20 20 20 20 20 20 73 79 73 74 65 6d 20 74 6f 20 74 68 65 20 omb,.FK4..........system.to.the.
a6060 6e 65 77 2c 20 49 41 55 26 6e 62 73 70 3b 31 39 37 36 2c 20 46 4b 35 2c 20 46 72 69 63 6b 65 20 new,.IAU&nbsp;1976,.FK5,.Fricke.
a6080 73 79 73 74 65 6d 2c 20 69 6e 20 73 75 63 68 20 61 0a 20 20 20 20 20 20 20 20 20 77 61 79 20 74 system,.in.such.a..........way.t
a60a0 68 61 74 20 74 68 65 20 46 4b 35 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 73 20 7a 65 72 hat.the.FK5.proper.motion.is.zer
a60c0 6f 2e 20 20 42 65 63 61 75 73 65 20 73 75 63 68 20 61 20 73 74 61 72 0a 20 20 20 20 20 20 20 20 o...Because.such.a.star.........
a60e0 20 68 61 73 2c 20 69 6e 20 67 65 6e 65 72 61 6c 2c 20 61 20 6e 6f 6e 2d 7a 65 72 6f 20 70 72 6f .has,.in.general,.a.non-zero.pro
a6100 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 74 68 65 20 46 4b 34 20 73 79 73 74 65 6d 2c 0a 20 20 per.motion.in.the.FK4.system,...
a6120 20 20 20 20 20 20 20 74 68 65 20 72 6f 75 74 69 6e 65 20 72 65 71 75 69 72 65 73 20 74 68 65 20 .......the.routine.requires.the.
a6140 65 70 6f 63 68 20 61 74 20 77 68 69 63 68 20 74 68 65 20 70 6f 73 69 74 69 6f 6e 20 69 6e 20 74 epoch.at.which.the.position.in.t
a6160 68 65 0a 20 20 20 20 20 20 20 20 20 46 4b 34 20 73 79 73 74 65 6d 20 77 61 73 20 64 65 74 65 72 he..........FK4.system.was.deter
a6180 6d 69 6e 65 64 2e 20 20 54 68 65 20 6d 65 74 68 6f 64 20 69 73 20 66 72 6f 6d 20 61 70 70 65 6e mined...The.method.is.from.appen
a61a0 64 69 78 26 6e 62 73 70 3b 32 20 6f 66 0a 20 20 20 20 20 20 20 20 20 72 65 66 65 72 65 6e 63 65 dix&nbsp;2.of..........reference
a61c0 26 6e 62 73 70 3b 31 2c 20 62 75 74 20 75 73 69 6e 67 20 74 68 65 20 63 6f 6e 73 74 61 6e 74 73 &nbsp;1,.but.using.the.constants
a61e0 20 6f 66 20 72 65 66 65 72 65 6e 63 65 26 6e 62 73 70 3b 34 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 .of.reference&nbsp;4..<P>....<DT
a6200 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e ><STRONG>CALL:</STRONG>.<DD><TT>
a6220 43 41 4c 4c 20 73 6c 61 5f 46 4b 34 35 5a 20 28 52 31 39 35 30 2c 44 31 39 35 30 2c 42 45 50 4f CALL.sla_FK45Z.(R1950,D1950,BEPO
a6240 43 48 2c 52 32 30 30 30 2c 44 32 30 30 30 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c CH,R2000,D2000)</TT>.<P>.......<
a6260 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 /DL>.<P>.....<DL>.<DT><STRONG>GI
a6280 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 VEN:</STRONG>.<DD>.<BR>.<TABLE.C
a62a0 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c ELLPADDING=3>.<TR.VALIGN="TOP"><
a62c0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 31 39 35 30 3c 2f 45 4d 3e 3c 2f TD.ALIGN="LEFT"><EM>R1950</EM></
a62e0 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 TD>.<TH.ALIGN="LEFT"><B>D</B></T
a6300 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 30 H>.<TD.ALIGN="LEFT".NOWRAP>B1950
a6320 2e 30 20 46 4b 34 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 .0.FK4.<IMG.WIDTH="13".HEIGHT="1
a6340 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 4".ALIGN="BOTTOM".BORDER="0"..SR
a6360 43 3d 22 69 6d 67 32 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 20 61 C="img24.gif"..ALT="$\alpha$">.a
a6380 74 20 65 70 6f 63 68 20 42 45 50 4f 43 48 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f t.epoch.BEPOCH.(radians)</TD>.</
a63a0 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
a63c0 4c 45 46 54 22 3e 3c 45 4d 3e 44 31 39 35 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c LEFT"><EM>D1950</EM></TD>.<TD.AL
a63e0 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 IGN="LEFT"><B>D</B></TD>.<TD.ALI
a6400 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 30 2e 30 20 46 4b 34 20 3c 49 4d GN="LEFT".NOWRAP>B1950.0.FK4.<IM
a6420 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 G.WIDTH="10".HEIGHT="13".ALIGN="
a6440 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 BOTTOM".BORDER="0"..SRC="img23.g
a6460 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 61 74 20 65 70 6f 63 68 20 42 45 if"..ALT="$\delta$">.at.epoch.BE
a6480 50 4f 43 48 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 POCH.(radians)</TD>.</TR>.<TR.VA
a64a0 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
a64c0 42 45 50 4f 43 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 BEPOCH</EM></TD>.<TD.ALIGN="LEFT
a64e0 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 "><B>D</B></TD>.<TD.ALIGN="LEFT"
a6500 20 4e 4f 57 52 41 50 3e 42 65 73 73 65 6c 69 61 6e 20 65 70 6f 63 68 20 28 3c 49 3e 65 2e 67 2e .NOWRAP>Besselian.epoch.(<I>e.g.
a6520 3c 2f 49 3e 20 31 39 37 39 2e 33 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c </I>.1979.3D0)</TD>.</TR>.</TABL
a6540 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 E></DL>.<P>.....<DL>.<DT><STRONG
a6560 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 >RETURNED:</STRONG>.<DD>.<BR>.<T
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a65a0 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 32 30 30 30 3c TOP"><TD.ALIGN="LEFT"><EM>R2000<
a65c0 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c /EM></TD>.<TH.ALIGN="LEFT"><B>D<
a65e0 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 /B></TH>.<TD.ALIGN="LEFT".NOWRAP
a6600 3e 4a 32 30 30 30 2e 30 20 46 4b 35 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 >J2000.0.FK5.<IMG.WIDTH="13".HEI
a6620 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 GHT="14".ALIGN="BOTTOM".BORDER="
a6640 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 0"..SRC="img24.gif"..ALT="$\alph
a6660 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 a$">.(radians)</TD>.</TR>.<TR.VA
a6680 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
a66a0 44 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 D2000</EM></TD>.<TD.ALIGN="LEFT"
a66c0 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>D</B></TD>.<TD.ALIGN="LEFT".
a66e0 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 46 4b 35 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 NOWRAP>J2000.0.FK5.<IMG.WIDTH="1
a6700 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 0".HEIGHT="13".ALIGN="BOTTOM".BO
a6720 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 RDER="0"..SRC="img23.gif"..ALT="
a6740 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a $\delta$">.(radians)</TD>.</TR>.
a6760 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e </TABLE></DL>.<P>......<DL>.<DT>
a6780 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 <STRONG>NOTES:</STRONG>.<DD><DL.
a67a0 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 65 70 6f 63 68 20 42 45 COMPACT>.<DT>1..<DD>The.epoch.BE
a67c0 50 4f 43 48 20 69 73 20 73 74 72 69 63 74 6c 79 20 73 70 65 61 6b 69 6e 67 20 42 65 73 73 65 6c POCH.is.strictly.speaking.Bessel
a67e0 69 61 6e 2c 20 62 75 74 0a 69 66 20 61 20 4a 75 6c 69 61 6e 20 65 70 6f 63 68 20 69 73 20 73 75 ian,.but.if.a.Julian.epoch.is.su
a6800 70 70 6c 69 65 64 20 74 68 65 20 72 65 73 75 6c 74 20 77 69 6c 6c 20 62 65 0a 61 66 66 65 63 74 pplied.the.result.will.be.affect
a6820 65 64 20 6f 6e 6c 79 20 74 6f 20 61 20 6e 65 67 6c 69 67 69 62 6c 65 20 65 78 74 65 6e 74 2e 0a ed.only.to.a.negligible.extent..
a6840 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 43 6f 6e 76 65 72 73 69 6f 6e 20 66 72 6f 6d 20 42 65 73 ..<DT>2..<DD>Conversion.from.Bes
a6860 73 65 6c 69 61 6e 20 65 70 6f 63 68 20 31 39 35 30 2e 30 20 74 6f 20 4a 75 6c 69 61 6e 20 65 70 selian.epoch.1950.0.to.Julian.ep
a6880 6f 63 68 0a 20 20 20 20 20 20 20 20 32 30 30 30 2e 30 20 6f 6e 6c 79 20 69 73 20 70 72 6f 76 69 och.........2000.0.only.is.provi
a68a0 64 65 64 20 66 6f 72 2e 20 20 43 6f 6e 76 65 72 73 69 6f 6e 73 20 69 6e 76 6f 6c 76 69 6e 67 20 ded.for...Conversions.involving.
a68c0 6f 74 68 65 72 0a 20 20 20 20 20 20 20 20 65 70 6f 63 68 73 20 77 69 6c 6c 20 72 65 71 75 69 72 other.........epochs.will.requir
a68e0 65 20 75 73 65 20 6f 66 20 74 68 65 20 61 70 70 72 6f 70 72 69 61 74 65 20 70 72 65 63 65 73 73 e.use.of.the.appropriate.precess
a6900 69 6f 6e 2c 0a 20 20 20 20 20 20 20 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 2c 20 61 6e 64 20 ion,.........proper.motion,.and.
a6920 45 2d 74 65 72 6d 73 20 72 6f 75 74 69 6e 65 73 20 62 65 66 6f 72 65 20 61 6e 64 2f 6f 72 0a 20 E-terms.routines.before.and/or..
a6940 20 20 20 20 20 20 20 61 66 74 65 72 20 46 4b 34 35 5a 20 69 73 20 63 61 6c 6c 65 64 2e 0a 20 20 .......after.FK45Z.is.called....
a6960 3c 44 54 3e 33 2e 0a 3c 44 44 3e 49 6e 20 74 68 65 20 46 4b 34 20 63 61 74 61 6c 6f 67 75 65 20 <DT>3..<DD>In.the.FK4.catalogue.
a6980 74 68 65 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 73 20 6f 66 20 73 74 61 72 73 20 77 69 74 68 the.proper.motions.of.stars.with
a69a0 69 6e 0a 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 in.........<IMG.WIDTH="26".HEIGH
a69c0 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 T="14".ALIGN="BOTTOM".BORDER="0"
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a6a00 69 72 63 7d 24 22 3e 20 6f 66 20 74 68 65 20 70 6f 6c 65 73 20 64 6f 20 6e 6f 74 20 69 6e 63 6c irc}$">.of.the.poles.do.not.incl
a6a20 75 64 65 20 74 68 65 20 3c 49 3e 64 69 66 66 65 72 65 6e 74 69 61 6c 0a 20 20 20 20 20 20 20 20 ude.the.<I>differential.........
a6a40 45 2d 74 65 72 6d 73 3c 2f 49 3e 20 65 66 66 65 63 74 20 61 6e 64 20 73 68 6f 75 6c 64 2c 20 73 E-terms</I>.effect.and.should,.s
a6a60 74 72 69 63 74 6c 79 20 73 70 65 61 6b 69 6e 67 2c 20 62 65 20 68 61 6e 64 6c 65 64 0a 20 20 20 trictly.speaking,.be.handled....
a6a80 20 20 20 20 20 69 6e 20 61 20 64 69 66 66 65 72 65 6e 74 20 6d 61 6e 6e 65 72 20 66 72 6f 6d 20 .....in.a.different.manner.from.
a6aa0 73 74 61 72 73 20 6f 75 74 73 69 64 65 20 74 68 65 73 65 20 72 65 67 69 6f 6e 73 2e 0a 20 20 20 stars.outside.these.regions.....
a6ac0 20 20 20 20 20 48 6f 77 65 76 65 72 2c 20 67 69 76 65 6e 20 74 68 65 20 67 65 6e 65 72 61 6c 20 .....However,.given.the.general.
a6ae0 6c 61 63 6b 20 6f 66 20 68 6f 6d 6f 67 65 6e 65 69 74 79 20 6f 66 20 74 68 65 20 73 74 61 72 0a lack.of.homogeneity.of.the.star.
a6b00 20 20 20 20 20 20 20 20 64 61 74 61 20 61 76 61 69 6c 61 62 6c 65 20 66 6f 72 20 72 6f 75 74 69 ........data.available.for.routi
a6b20 6e 65 20 61 73 74 72 6f 6d 65 74 72 79 2c 20 74 68 65 20 64 69 66 66 69 63 75 6c 74 69 65 73 20 ne.astrometry,.the.difficulties.
a6b40 6f 66 0a 20 20 20 20 20 20 20 20 68 61 6e 64 6c 69 6e 67 20 70 6f 73 69 74 69 6f 6e 73 20 74 68 of.........handling.positions.th
a6b60 61 74 20 6d 61 79 20 68 61 76 65 20 62 65 65 6e 20 64 65 74 65 72 6d 69 6e 65 64 20 66 72 6f 6d at.may.have.been.determined.from
a6b80 0a 20 20 20 20 20 20 20 20 61 73 74 72 6f 6d 65 74 72 69 63 20 66 69 65 6c 64 73 20 73 70 61 6e .........astrometric.fields.span
a6ba0 6e 69 6e 67 20 74 68 65 20 70 6f 6c 61 72 20 61 6e 64 20 6e 6f 6e 2d 70 6f 6c 61 72 20 72 65 67 ning.the.polar.and.non-polar.reg
a6bc0 69 6f 6e 73 2c 0a 20 20 20 20 20 20 20 20 74 68 65 20 6c 69 6b 65 6c 69 68 6f 6f 64 20 74 68 61 ions,.........the.likelihood.tha
a6be0 74 20 74 68 65 20 64 69 66 66 65 72 65 6e 74 69 61 6c 20 45 2d 74 65 72 6d 73 20 65 66 66 65 63 t.the.differential.E-terms.effec
a6c00 74 20 77 61 73 20 6e 6f 74 0a 20 20 20 20 20 20 20 20 74 61 6b 65 6e 20 69 6e 74 6f 20 61 63 63 t.was.not.........taken.into.acc
a6c20 6f 75 6e 74 20 77 68 65 6e 20 61 6c 6c 6f 77 69 6e 67 20 66 6f 72 20 70 72 6f 70 65 72 20 6d 6f ount.when.allowing.for.proper.mo
a6c40 74 69 6f 6e 20 69 6e 20 70 61 73 74 0a 20 20 20 20 20 20 20 20 61 73 74 72 6f 6d 65 74 72 79 2c tion.in.past.........astrometry,
a6c60 20 61 6e 64 20 74 68 65 20 75 6e 64 65 73 69 72 61 62 69 6c 69 74 79 20 6f 66 20 61 20 64 69 73 .and.the.undesirability.of.a.dis
a6c80 63 6f 6e 74 69 6e 75 69 74 79 20 69 6e 0a 20 20 20 20 20 20 20 20 74 68 65 20 61 6c 67 6f 72 69 continuity.in.........the.algori
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a8060 2e 3c 2f 49 3e 20 28 72 65 66 65 72 65 6e 63 65 26 6e 62 73 70 3b 31 29 20 61 72 65 20 66 6f 6c .</I>.(reference&nbsp;1).are.fol
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a80c0 73 70 3b 61 6c 2e 3c 2f 49 3e 20 28 72 65 66 65 72 65 6e 63 65 26 6e 62 73 70 3b 32 29 0a 20 20 sp;al.</I>.(reference&nbsp;2)...
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a8100 20 53 74 61 6e 64 69 73 68 2e 20 20 4b 69 6e 6f 73 68 69 74 61 27 73 20 64 65 76 65 6c 6f 70 6d .Standish...Kinoshita's.developm
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a8180 6d 20 53 65 69 64 65 6c 6d 61 6e 6e 26 6e 62 73 70 3b 3c 49 3e 65 74 26 6e 62 73 70 3b 61 6c 2e m.Seidelmann&nbsp;<I>et&nbsp;al.
a81a0 3c 2f 49 3e 20 28 72 65 66 65 72 65 6e 63 65 26 6e 62 73 70 3b 33 29 20 61 72 65 0a 20 20 20 20 </I>.(reference&nbsp;3).are.....
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a82a0 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 GIVEN:</STRONG>.<DD>.<BR>.<TABLE
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a8800 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a .<DT><STRONG>RETURNED:</STRONG>.
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a8b40 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>D</B></TD>.<
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a8c60 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 30 D>.<TD.ALIGN="LEFT".NOWRAP>B1950
a8c80 2e 30 20 70 61 72 61 6c 6c 61 78 20 28 61 72 63 73 65 63 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a .0.parallax.(arcsec)</TD>.</TR>.
a8ca0 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <TR.VALIGN="TOP"><TD.ALIGN="LEFT
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aa380 3c 42 3e 20 4e 65 78 74 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 31 <B>.Next:</B>.<A.NAME="tex2html1
aa3a0 34 39 37 22 20 48 52 45 46 3d 22 6e 6f 64 65 31 30 38 2e 68 74 6d 6c 22 3e 53 4c 41 5f 46 4b 35 497".HREF="node108.html">SLA_FK5
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aa560 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e >........<DL>.<DT><STRONG>ACTION
aa580 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 54 72 61 6e 73 66 6f 72 6d 20 61 6e 20 46 4b 35 20 :</STRONG>.<DD>Transform.an.FK5.
aa5a0 28 4a 32 30 30 30 29 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 70 72 6f 70 65 72 20 6d 6f 74 69 (J2000).position.and.proper.moti
aa5c0 6f 6e 0a 69 6e 74 6f 20 74 68 65 20 66 72 61 6d 65 20 6f 66 20 74 68 65 20 48 69 70 70 61 72 63 on.into.the.frame.of.the.Hipparc
aa5e0 6f 73 20 63 61 74 61 6c 6f 67 75 65 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 os.catalogue..<P>....<DT><STRONG
aa600 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 >CALL:</STRONG>.<DD><TT>CALL.sla
aa620 5f 46 4b 35 32 48 20 28 52 35 2c 44 35 2c 44 52 35 2c 44 44 35 2c 52 48 2c 44 48 2c 44 52 48 2c _FK52H.(R5,D5,DR5,DD5,RH,DH,DRH,
aa640 44 44 48 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 DDH)</TT>.<P>.......</DL>.<P>...
aa660 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e ..<DL>.<DT><STRONG>GIVEN:</STRON
aa680 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d G>.<DD>.<BR>.<TABLE.CELLPADDING=
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aa6c0 45 46 54 22 3e 3c 45 4d 3e 52 35 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d EFT"><EM>R5</EM></TD>.<TH.ALIGN=
aa6e0 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 "LEFT"><B>D</B></TH>.<TD.ALIGN="
aa700 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 46 4b 35 20 3c 49 4d 47 20 57 49 LEFT".NOWRAP>J2000.0.FK5.<IMG.WI
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aa740 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 34 2e 67 69 66 22 0a OM".BORDER="0"..SRC="img24.gif".
aa760 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a .ALT="$\alpha$">.(radians)</TD>.
aa780 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
aa7a0 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 35 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 ="LEFT"><EM>D5</EM></TD>.<TD.ALI
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aa840 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 f"..ALT="$\delta$">.(radians)</T
aa860 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c D>.</TR>.<TR.VALIGN="TOP"><TD.AL
aa880 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 52 35 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 IGN="LEFT"><EM>DR5</EM></TD>.<TD
aa8a0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>D</B></TD>.<TD.
aa8c0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 46 4b 35 20 ALIGN="LEFT".NOWRAP>J2000.0.FK5.
aa8e0 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 proper.motion.in.<IMG.WIDTH="13"
aa900 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 .HEIGHT="14".ALIGN="BOTTOM".BORD
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aa940 61 6c 70 68 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 61 6e 20 79 65 61 72 alpha$">(radians.per.Julian.year
aa960 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
aa980 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 44 35 3c 2f 45 4d 3e 3c 2f 54 44 3e D.ALIGN="LEFT"><EM>DD5</EM></TD>
aa9a0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>D</B></TD>.
aa9c0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 <TD.ALIGN="LEFT".NOWRAP>J2000.0.
aa9e0 46 4b 35 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d FK5.proper.motion.in.<IMG.WIDTH=
aaa00 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 "10".HEIGHT="13".ALIGN="BOTTOM".
aaa20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 BORDER="0"..SRC="img23.gif"..ALT
aaa40 3d 22 24 5c 64 65 6c 74 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 61 6e 20 ="$\delta$">(radians.per.Julian.
aaa60 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c year)</TD>.</TR>.</TABLE></DL>.<
aaa80 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 P>.....<DL>.<DT><STRONG>RETURNED
aaaa0 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c :</STRONG>.<DD>.<BR>.<TABLE.CELL
aaac0 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 PADDING=3>.<TR.VALIGN="TOP"><TD.
aaae0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 ALIGN="LEFT"><EM>RH</EM></TD>.<T
aab00 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 H.ALIGN="LEFT"><B>D</B></TH>.<TD
aab20 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f 73 20 3c .ALIGN="LEFT".NOWRAP>Hipparcos.<
aab40 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e IMG.WIDTH="13".HEIGHT="14".ALIGN
aab60 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 34 ="BOTTOM".BORDER="0"..SRC="img24
aab80 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 .gif"..ALT="$\alpha$">.(radians)
aaba0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
aabc0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c .ALIGN="LEFT"><EM>DH</EM></TD>.<
aabe0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 TD.ALIGN="LEFT"><B>D</B></TD>.<T
aac00 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f 73 20 D.ALIGN="LEFT".NOWRAP>Hipparcos.
aac20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 <IMG.WIDTH="10".HEIGHT="13".ALIG
aac40 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 N="BOTTOM".BORDER="0"..SRC="img2
aac60 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 61 6e 73 3.gif"..ALT="$\delta$">.(radians
aac80 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
aaca0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e D.ALIGN="LEFT"><EM>DRH</EM></TD>
aacc0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>D</B></TD>.
aace0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f <TD.ALIGN="LEFT".NOWRAP>Hipparco
aad00 73 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 s.proper.motion.in.<IMG.WIDTH="1
aad20 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 3".HEIGHT="14".ALIGN="BOTTOM".BO
aad40 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 RDER="0"..SRC="img24.gif"..ALT="
aad60 24 5c 61 6c 70 68 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 61 6e 20 79 65 $\alpha$">(radians.per.Julian.ye
aad80 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e ar)</TD>.</TR>.<TR.VALIGN="TOP">
aada0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 44 48 3c 2f 45 4d 3e 3c 2f 54 <TD.ALIGN="LEFT"><EM>DDH</EM></T
aadc0 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 D>.<TD.ALIGN="LEFT"><B>D</B></TD
aade0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 >.<TD.ALIGN="LEFT".NOWRAP>Hippar
aae00 63 6f 73 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d cos.proper.motion.in.<IMG.WIDTH=
aae20 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 "10".HEIGHT="13".ALIGN="BOTTOM".
aae40 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 BORDER="0"..SRC="img23.gif"..ALT
aae60 3d 22 24 5c 64 65 6c 74 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 61 6e 20 ="$\delta$">(radians.per.Julian.
aae80 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c year)</TD>.</TR>.</TABLE></DL>.<
aaea0 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c P>......<DL>.<DT><STRONG>NOTES:<
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ac6e0 4b 35 34 5a 20 28 52 32 30 30 30 2c 44 32 30 30 30 2c 42 45 50 4f 43 48 2c 52 31 39 35 30 2c 44 K54Z.(R2000,D2000,BEPOCH,R1950,D
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acb60 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e >.<TD.ALIGN="LEFT"><B>D</B></TD>
acb80 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 42 31 39 35 30 2e 30 .<TD.ALIGN="LEFT".NOWRAP>B1950.0
acba0 20 46 4b 34 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 .FK4.<IMG.WIDTH="10".HEIGHT="13"
acbc0 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="BOTTOM".BORDER="0"..SRC=
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ae400 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e <B>D</B></TD>.<TD.ALIGN="LEFT".N
ae420 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 46 4b 35 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 OWRAP>J2000.0.FK5.<IMG.WIDTH="10
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ae4c0 3e 3c 45 4d 3e 45 50 4f 43 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 ><EM>EPOCH</EM></TD>.<TD.ALIGN="
ae4e0 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c LEFT"><B>D</B></TD>.<TD.ALIGN="L
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ae540 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f <DL>.<DT><STRONG>RETURNED:</STRO
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ae6c0 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f 73 20 3c 49 4d 47 20 57 49 ="LEFT".NOWRAP>Hipparcos.<IMG.WI
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aefa0 3c 53 54 52 4f 4e 47 3e 52 45 46 45 52 45 4e 43 45 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e <STRONG>REFERENCE:</STRONG>.<DD>
aefc0 46 65 69 73 73 65 6c 2c 20 4d 2e 20 26 61 6d 70 3b 20 4d 69 67 6e 61 72 64 2c 20 46 2e 2c 20 31 Feissel,.M..&amp;.Mignard,.F.,.1
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b13e0 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e .<DT><STRONG>CALL:</STRONG>.<DD>
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b15c0 6d 65 6e 63 65 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 mence</TD>.</TR>.<TR.VALIGN="TOP
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b1660 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e .</TABLE></DL>.<P>.....<DL>.<DT>
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b1760 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 45 53 4c 54 3c 2f 45 4d 3e 3c 2f 54 44 3e ALIGN="LEFT"><EM>RESLT</EM></TD>
b1780 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>R</B></TD>.
b17a0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 73 75 6c 74 3c 2f <TD.ALIGN="LEFT".NOWRAP>result</
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b18c0 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 <STRONG>NOTES:</STRONG>.<DD><DL.
b18e0 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 72 65 61 73 6f 6e 20 73 COMPACT>.<DT>1..<DD>The.reason.s
b1900 6c 61 5f 46 4c 4f 54 49 4e 20 68 61 73 20 73 65 70 61 72 61 74 65 20 60 4f 4b 27 20 73 74 61 74 la_FLOTIN.has.separate.`OK'.stat
b1920 75 73 20 76 61 6c 75 65 73 0a 66 6f 72 20 2b 20 61 6e 64 20 2d 20 69 73 20 74 6f 20 65 6e 61 62 us.values.for.+.and.-.is.to.enab
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b19a0 62 65 72 73 2e 20 20 46 6f 72 20 65 78 61 6d 70 6c 65 2c 20 61 6e 20 61 6e 67 6c 65 0a 20 20 20 bers...For.example,.an.angle....
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b1c80 60 45 27 2e 20 20 56 61 72 69 6f 75 73 20 63 6f 6d 62 69 6e 61 74 69 6f 6e 73 20 6f 66 20 74 68 `E'...Various.combinations.of.th
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b1d00 0a 3c 44 44 3e 53 70 61 63 65 73 3a 0a 20 20 20 20 20 20 20 3c 55 4c 3e 0a 3c 4c 49 3e 20 4c 65 .<DD>Spaces:........<UL>.<LI>.Le
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b1d60 61 66 74 65 72 20 2b 2c 20 2d 2c 20 44 20 6f 72 20 45 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 after.+,.-,.D.or.E,.............
b1d80 20 61 6e 64 20 61 66 74 65 72 20 74 68 65 20 64 65 63 69 6d 61 6c 20 70 6f 69 6e 74 20 69 66 20 .and.after.the.decimal.point.if.
b1da0 74 68 65 20 66 69 72 73 74 20 73 65 71 75 65 6e 63 65 20 6f 66 0a 20 20 20 20 20 20 20 20 20 20 the.first.sequence.of...........
b1dc0 20 20 20 64 69 67 69 74 73 20 69 73 20 61 62 73 65 6e 74 2e 0a 3c 4c 49 3e 20 54 72 61 69 6c 69 ...digits.is.absent..<LI>.Traili
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b1e20 64 65 63 6f 64 69 6e 67 20 61 6e 64 20 73 75 62 73 65 71 75 65 6e 74 20 6f 6e 65 73 20 61 72 65 decoding.and.subsequent.ones.are
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b1e60 44 44 3e 44 65 6c 69 6d 69 74 65 72 73 3a 0a 20 20 20 20 20 20 20 3c 55 4c 3e 0a 3c 4c 49 3e 20 DD>Delimiters:........<UL>.<LI>.
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b1ea0 2c 2e 2c 44 2c 45 20 6f 72 20 73 70 61 63 65 20 6d 61 79 20 62 65 0a 20 20 20 20 20 20 20 20 20 ,.,D,E.or.space.may.be..........
b1ec0 20 20 20 20 75 73 65 64 20 74 6f 20 73 69 67 6e 61 6c 20 74 68 65 20 65 6e 64 20 6f 66 20 74 68 ....used.to.signal.the.end.of.th
b1ee0 65 20 6e 75 6d 62 65 72 20 61 6e 64 20 74 65 72 6d 69 6e 61 74 65 20 64 65 63 6f 64 69 6e 67 2e e.number.and.terminate.decoding.
b1f00 0a 3c 4c 49 3e 20 43 6f 6d 6d 61 20 69 73 20 72 65 63 6f 67 6e 69 7a 65 64 20 62 79 20 73 6c 61 .<LI>.Comma.is.recognized.by.sla
b1f20 5f 46 4c 4f 54 49 4e 20 61 73 20 61 20 73 70 65 63 69 61 6c 20 63 61 73 65 3b 20 69 74 0a 20 20 _FLOTIN.as.a.special.case;.it...
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b2040 3c 44 44 3e 54 68 65 20 6d 61 6e 74 69 73 73 61 20 3c 49 3e 6e 3c 2f 49 3e 2e 3c 49 3e 6e 3c 2f <DD>The.mantissa.<I>n</I>.<I>n</
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b2100 3e 39 2e 0a 3c 44 44 3e 54 68 65 20 73 74 72 69 6e 67 73 20 6f 66 20 64 65 63 69 6d 61 6c 20 64 >9..<DD>The.strings.of.decimal.d
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b2140 3e 31 30 2e 0a 3c 44 44 3e 54 68 65 20 64 65 63 69 6d 61 6c 20 70 6f 69 6e 74 20 69 73 20 6f 70 >10..<DD>The.decimal.point.is.op
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b2300 0a 20 20 20 20 20 20 20 64 65 63 6f 64 65 20 2d 20 66 6f 6c 6c 6f 77 69 6e 67 20 74 72 61 69 6c ........decode.-.following.trail
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bc420 3c 42 52 3e 0a 3c 42 3e 20 50 72 65 76 69 6f 75 73 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 <BR>.<B>.Previous:</B>.<A.NAME="
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bc5a0 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c .......<DL>.<DT><STRONG>ACTION:<
bc5c0 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 48 6f 72 69 7a 6f 6e 20 74 6f 20 65 71 75 61 74 6f 72 69 /STRONG>.<DD>Horizon.to.equatori
bc5e0 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 28 73 69 6e 67 6c 65 20 70 72 65 63 69 73 69 6f 6e al.coordinates.(single.precision
bc600 29 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 )..<P>....<DT><STRONG>CALL:</STR
bc620 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 48 32 45 20 28 41 5a 2c 20 45 ONG>.<DD><TT>CALL.sla_H2E.(AZ,.E
bc640 4c 2c 20 50 48 49 2c 20 48 41 2c 20 44 45 43 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 L,.PHI,.HA,.DEC)</TT>.<P>.......
bc660 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 </DL>.<P>.....<DL>.<DT><STRONG>G
bc680 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 IVEN:</STRONG>.<DD>.<BR>.<TABLE.
bc6a0 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e CELLPADDING=3>.<TR.VALIGN="TOP">
bc6c0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 5a 3c 2f 45 4d 3e 3c 2f 54 44 <TD.ALIGN="LEFT"><EM>AZ</EM></TD
bc6e0 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 48 3e >.<TH.ALIGN="LEFT"><B>R</B></TH>
bc700 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 61 7a 69 6d 75 74 68 .<TD.ALIGN="LEFT".NOWRAP>azimuth
bc720 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e .(radians)</TD>.</TR>.<TR.VALIGN
bc740 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 45 4c 3c 2f ="TOP"><TD.ALIGN="LEFT"><EM>EL</
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bc780 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TD>.<TD.ALIGN="LEFT".NOWRAP>
bc7a0 65 6c 65 76 61 74 69 6f 6e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c elevation.(radians)</TD>.</TR>.<
bc7c0 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 TR.VALIGN="TOP"><TD.ALIGN="LEFT"
bc7e0 3e 3c 45 4d 3e 50 48 49 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 ><EM>PHI</EM></TD>.<TD.ALIGN="LE
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bc820 54 22 20 4e 4f 57 52 41 50 3e 6c 61 74 69 74 75 64 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 T".NOWRAP>latitude.(radians)</TD
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bc860 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 L>.<DT><STRONG>RETURNED:</STRONG
bc880 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 >.<DD>.<BR>.<TABLE.CELLPADDING=3
bc8a0 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
bc8c0 46 54 22 3e 3c 45 4d 3e 48 41 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 FT"><EM>HA</EM></TD>.<TH.ALIGN="
bc8e0 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c LEFT"><B>R</B></TH>.<TD.ALIGN="L
bc900 45 46 54 22 20 4e 4f 57 52 41 50 3e 68 6f 75 72 20 61 6e 67 6c 65 20 28 72 61 64 69 61 6e 73 29 EFT".NOWRAP>hour.angle.(radians)
bc920 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
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bc960 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>R</B></TD>.<
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bc9a0 6f 6e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e on.(radians)</TD>.</TR>.</TABLE>
bc9c0 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e </DL>.<P>......<DL>.<DT><STRONG>
bc9e0 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e NOTES:</STRONG>.<DD><DL.COMPACT>
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bcae0 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 34 37 ="MIDDLE".BORDER="0"..SRC="img47
bcb00 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 70 6d 20 5c 70 69 24 22 3e 2e 20 20 44 65 63 6c 69 6e .gif"..ALT="$\pm.\pi$">...Declin
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bcb60 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 34 37 ="MIDDLE".BORDER="0"..SRC="img47
bcb80 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 70 6d 20 5c 70 69 24 22 3e 2e 20 20 3c 44 54 3e 33 2e .gif"..ALT="$\pm.\pi$">...<DT>3.
bcba0 0a 3c 44 44 3e 54 68 65 20 6c 61 74 69 74 75 64 65 20 69 73 20 28 69 6e 20 70 72 69 6e 63 69 70 .<DD>The.latitude.is.(in.princip
bcbc0 6c 65 29 20 67 65 6f 64 65 74 69 63 2e 20 20 49 6e 20 63 72 69 74 69 63 61 6c 0a 20 20 20 20 20 le).geodetic...In.critical......
bcbe0 20 20 20 61 70 70 6c 69 63 61 74 69 6f 6e 73 2c 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 66 6f 72 ...applications,.corrections.for
bcc00 20 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 73 68 6f 75 6c 64 20 62 65 20 61 70 70 6c 69 65 64 0a .polar.motion.should.be.applied.
bcc20 20 20 20 20 20 20 20 20 28 73 65 65 20 73 6c 61 5f 50 4f 4c 4d 4f 29 2e 0a 20 20 3c 44 54 3e 34 ........(see.sla_POLMO)....<DT>4
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bde20 50 52 4f 47 52 41 4d 20 53 50 45 43 49 46 49 43 41 54 49 4f 4e 53 3c 2f 41 3e 0a 3c 42 52 3e 0a PROGRAM.SPECIFICATIONS</A>.<BR>.
bde40 3c 42 3e 20 50 72 65 76 69 6f 75 73 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 <B>.Previous:</B>.<A.NAME="tex2h
bde60 74 6d 6c 31 36 30 39 22 20 48 52 45 46 3d 22 6e 6f 64 65 31 31 38 2e 68 74 6d 6c 22 3e 53 4c 41 tml1609".HREF="node118.html">SLA
bde80 5f 48 32 45 20 2d 20 41 7a 2c 45 6c 20 74 6f 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 3c 50 _H2E.-.Az,El.to</A>.<BR>.<HR>.<P
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bdf00 61 72 63 6f 73 20 74 6f 20 46 4b 35 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 65 66 5f 53 arcos.to.FK5</A>.<A.NAME="xref_S
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bdf60 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 <DL>.<DT><STRONG>ACTION:</STRONG
bdf80 3e 0a 3c 44 44 3e 54 72 61 6e 73 66 6f 72 6d 20 61 20 48 69 70 70 61 72 63 6f 73 20 73 74 61 72 >.<DD>Transform.a.Hipparcos.star
bdfa0 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 0a 69 6e 74 6f .position.and.proper.motion.into
bdfc0 20 74 68 65 20 46 4b 35 20 28 4a 32 30 30 30 29 20 66 72 61 6d 65 2e 0a 3c 50 3e 20 20 20 20 3c .the.FK5.(J2000).frame..<P>....<
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be000 54 3e 43 41 4c 4c 20 73 6c 61 5f 48 32 46 4b 35 20 28 52 48 2c 44 48 2c 44 52 48 2c 44 44 48 2c T>CALL.sla_H2FK5.(RH,DH,DRH,DDH,
be020 52 35 2c 44 35 2c 44 52 35 2c 44 44 35 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f R5,D5,DR5,DD5)</TT>.<P>.......</
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be080 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 LLPADDING=3>.<TR.VALIGN="TOP"><T
be0a0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a D.ALIGN="LEFT"><EM>RH</EM></TD>.
be0c0 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c <TH.ALIGN="LEFT"><B>D</B></TH>.<
be0e0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f 73 TD.ALIGN="LEFT".NOWRAP>Hipparcos
be100 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 .<IMG.WIDTH="13".HEIGHT="14".ALI
be120 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 GN="BOTTOM".BORDER="0"..SRC="img
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be160 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c s)</TD>.</TR>.<TR.VALIGN="TOP"><
be180 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 48 3c 2f 45 4d 3e 3c 2f 54 44 3e TD.ALIGN="LEFT"><EM>DH</EM></TD>
be1a0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>D</B></TD>.
be1c0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f <TD.ALIGN="LEFT".NOWRAP>Hipparco
be1e0 73 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c s.<IMG.WIDTH="10".HEIGHT="13".AL
be200 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d IGN="BOTTOM".BORDER="0"..SRC="im
be220 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 61 g23.gif"..ALT="$\delta$">.(radia
be240 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e ns)</TD>.</TR>.<TR.VALIGN="TOP">
be260 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 52 48 3c 2f 45 4d 3e 3c 2f 54 <TD.ALIGN="LEFT"><EM>DRH</EM></T
be280 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 D>.<TD.ALIGN="LEFT"><B>D</B></TD
be2a0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 >.<TD.ALIGN="LEFT".NOWRAP>Hippar
be2c0 63 6f 73 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d cos.proper.motion.in.<IMG.WIDTH=
be2e0 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 "13".HEIGHT="14".ALIGN="BOTTOM".
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be320 3d 22 24 5c 61 6c 70 68 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 61 6e 20 ="$\alpha$">(radians.per.Julian.
be340 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 year)</TD>.</TR>.<TR.VALIGN="TOP
be360 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 44 48 3c 2f 45 4d 3e 3c "><TD.ALIGN="LEFT"><EM>DDH</EM><
be380 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f /TD>.<TD.ALIGN="LEFT"><B>D</B></
be3a0 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 TD>.<TD.ALIGN="LEFT".NOWRAP>Hipp
be3c0 61 72 63 6f 73 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 54 arcos.proper.motion.in.<IMG.WIDT
be3e0 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d H="10".HEIGHT="13".ALIGN="BOTTOM
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be420 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 61 LT="$\delta$">(radians.per.Julia
be440 6e 20 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e n.year)</TD>.</TR>.</TABLE></DL>
be460 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e .<P>.....<DL>.<DT><STRONG>RETURN
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be4a0 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 LLPADDING=3>.<TR.VALIGN="TOP"><T
be4c0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 35 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a D.ALIGN="LEFT"><EM>R5</EM></TD>.
be4e0 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c <TH.ALIGN="LEFT"><B>D</B></TH>.<
be500 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 46 TD.ALIGN="LEFT".NOWRAP>J2000.0.F
be520 4b 35 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 K5.<IMG.WIDTH="13".HEIGHT="14".A
be540 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 LIGN="BOTTOM".BORDER="0"..SRC="i
be560 6d 67 32 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 20 28 72 61 64 69 mg24.gif"..ALT="$\alpha$">.(radi
be580 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 ans)</TD>.</TR>.<TR.VALIGN="TOP"
be5a0 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 35 3c 2f 45 4d 3e 3c 2f 54 ><TD.ALIGN="LEFT"><EM>D5</EM></T
be5c0 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 D>.<TD.ALIGN="LEFT"><B>D</B></TD
be5e0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e >.<TD.ALIGN="LEFT".NOWRAP>J2000.
be600 30 20 46 4b 35 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 0.FK5.<IMG.WIDTH="10".HEIGHT="13
be620 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 ".ALIGN="BOTTOM".BORDER="0"..SRC
be640 3d 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 ="img23.gif"..ALT="$\delta$">.(r
be660 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 adians)</TD>.</TR>.<TR.VALIGN="T
be680 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 52 35 3c 2f 45 4d OP"><TD.ALIGN="LEFT"><EM>DR5</EM
be6a0 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e ></TD>.<TD.ALIGN="LEFT"><B>D</B>
be6c0 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 </TD>.<TD.ALIGN="LEFT".NOWRAP>J2
be6e0 30 30 30 2e 30 20 46 4b 35 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 000.0.FK5.proper.motion.in.<IMG.
be700 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f WIDTH="13".HEIGHT="14".ALIGN="BO
be720 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 34 2e 67 69 66 TTOM".BORDER="0"..SRC="img24.gif
be740 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a "..ALT="$\alpha$">(radians.per.J
be760 75 6c 69 61 6e 20 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 ulian.year)</TD>.</TR>.<TR.VALIG
be780 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 44 35 N="TOP"><TD.ALIGN="LEFT"><EM>DD5
be7a0 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 </EM></TD>.<TD.ALIGN="LEFT"><B>D
be7c0 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 </B></TD>.<TD.ALIGN="LEFT".NOWRA
be7e0 50 3e 46 4b 35 20 4a 32 30 30 30 2e 30 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c P>FK5.J2000.0.proper.motion.in.<
be800 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e IMG.WIDTH="10".HEIGHT="13".ALIGN
be820 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 ="BOTTOM".BORDER="0"..SRC="img23
be840 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 .gif"..ALT="$\delta$">(radians.p
be860 65 72 20 4a 75 6c 69 61 6e 20 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 er.Julian.year)</TD>.</TR>.</TAB
be880 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f LE></DL>.<P>......<DL>.<DT><STRO
be8a0 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 NG>NOTES:</STRONG>.<DD><DL.COMPA
be8c0 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 CT>.<DT>1..<DD>The.<IMG.WIDTH="1
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be920 24 5c 61 6c 70 68 61 24 22 3e 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 73 20 61 72 65 20 3c 49 $\alpha$">.proper.motions.are.<I
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be980 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 6f 74 7b 5c 61 6c 70 68 61 7d 24 22 3e 20 72 61 74 .gif"..ALT="$\dot{\alpha}$">.rat
be9a0 68 65 72 20 74 68 61 6e 0a 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 38 22 20 48 45 49 47 48 54 3d her.than.<IMG.WIDTH="48".HEIGHT=
be9c0 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 "13".ALIGN="BOTTOM".BORDER="0"..
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bea20 65 61 72 20 72 61 74 68 65 72 20 74 68 61 6e 20 70 65 72 20 63 65 6e 74 75 72 79 2e 0a 3c 44 54 ear.rather.than.per.century..<DT
bea40 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 46 4b 35 20 74 6f 20 48 69 70 70 61 72 63 6f 73 0a 20 20 20 >2..<DD>The.FK5.to.Hipparcos....
bea60 20 20 20 20 20 74 72 61 6e 73 66 6f 72 6d 61 74 69 6f 6e 20 63 6f 6e 73 69 73 74 73 20 6f 66 20 .....transformation.consists.of.
bea80 61 20 70 75 72 65 20 72 6f 74 61 74 69 6f 6e 20 61 6e 64 20 73 70 69 6e 3b 0a 20 20 20 20 20 20 a.pure.rotation.and.spin;.......
beaa0 20 20 7a 6f 6e 61 6c 20 65 72 72 6f 72 73 20 69 6e 20 74 68 65 20 46 4b 35 20 63 61 74 61 6c 6f ..zonal.errors.in.the.FK5.catalo
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beae0 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 61 64 6f 70 74 65 64 20 65 70 6f 63 68 20 4a ..<DT>3..<DD>The.adopted.epoch.J
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beb20 69 6f 6e 20 61 6e 64 20 73 70 69 6e 0a 20 20 20 20 20 20 20 20 76 61 6c 75 65 73 20 61 72 65 20 ion.and.spin.........values.are.
beb40 61 73 20 66 6f 6c 6c 6f 77 73 20 28 73 65 65 20 72 65 66 65 72 65 6e 63 65 29 3a 0a 3c 50 3e 20 as.follows.(see.reference):.<P>.
beb60 20 20 20 20 20 20 20 3c 42 52 3e 0a 3c 42 52 3e 0a 3c 42 52 3e 0a 3c 50 3e 20 20 20 20 20 20 20 .......<BR>.<BR>.<BR>.<P>.......
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beba0 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb
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bed20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 &nbsp;&nbsp;&nbsp;</TD>.<TD.ALIG
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c0fc0 73 74 61 72 20 70 6f 73 69 74 69 6f 6e 0a 69 6e 74 6f 20 74 68 65 20 46 4b 35 20 28 4a 32 30 30 star.position.into.the.FK5.(J200
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c1040 6c 61 5f 48 46 4b 35 5a 20 28 52 48 2c 44 48 2c 45 50 4f 43 48 2c 52 35 2c 44 35 2c 44 52 35 2c la_HFK5Z.(RH,DH,EPOCH,R5,D5,DR5,
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c1080 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e ..<DL>.<DT><STRONG>GIVEN:</STRON
c10a0 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d G>.<DD>.<BR>.<TABLE.CELLPADDING=
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c10e0 45 46 54 22 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d EFT"><EM>RH</EM></TD>.<TH.ALIGN=
c1100 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 "LEFT"><B>D</B></TH>.<TD.ALIGN="
c1120 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f 73 20 3c 49 4d 47 20 57 49 44 54 LEFT".NOWRAP>Hipparcos.<IMG.WIDT
c1140 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d H="13".HEIGHT="14".ALIGN="BOTTOM
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c11e0 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d ="LEFT"><B>D</B></TD>.<TD.ALIGN=
c1200 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 48 69 70 70 61 72 63 6f 73 20 3c 49 4d 47 20 57 49 44 "LEFT".NOWRAP>Hipparcos.<IMG.WID
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c12c0 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c LIGN="LEFT"><B>D</B></TD>.<TD.AL
c12e0 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 75 6c 69 61 6e 20 65 70 6f 63 68 20 28 IGN="LEFT".NOWRAP>Julian.epoch.(
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c1320 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a >.....<DL>.<DT><STRONG>RETURNED:
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c1380 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 35 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 LIGN="LEFT"><EM>R5</EM></TD>.<TH
c13a0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>D</B></TH>.<TD.
c13c0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 46 4b 35 20 ALIGN="LEFT".NOWRAP>J2000.0.FK5.
c13e0 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 <IMG.WIDTH="13".HEIGHT="14".ALIG
c1400 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 N="BOTTOM".BORDER="0"..SRC="img2
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c1440 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
c1460 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 35 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a D.ALIGN="LEFT"><EM>D5</EM></TD>.
c1480 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>D</B></TD>.<
c14a0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 20 46 TD.ALIGN="LEFT".NOWRAP>J2000.0.F
c14c0 4b 35 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 K5.<IMG.WIDTH="10".HEIGHT="13".A
c14e0 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 LIGN="BOTTOM".BORDER="0"..SRC="i
c1500 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 mg23.gif"..ALT="$\delta$">.(radi
c1520 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 ans)</TD>.</TR>.<TR.VALIGN="TOP"
c1540 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 52 35 3c 2f 45 4d 3e 3c 2f ><TD.ALIGN="LEFT"><EM>DR5</EM></
c1560 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 TD>.<TD.ALIGN="LEFT"><B>D</B></T
c1580 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 D>.<TD.ALIGN="LEFT".NOWRAP>J2000
c15a0 2e 30 20 46 4b 35 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 20 57 49 44 .0.FK5.proper.motion.in.<IMG.WID
c15c0 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f TH="13".HEIGHT="14".ALIGN="BOTTO
c15e0 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 34 2e 67 69 66 22 0a 20 M".BORDER="0"..SRC="img24.gif"..
c1600 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 28 72 61 64 69 61 6e 73 20 70 65 72 20 4a 75 6c 69 ALT="$\alpha$">(radians.per.Juli
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c1680 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 46 ></TD>.<TD.ALIGN="LEFT".NOWRAP>F
c16a0 4b 35 20 4a 32 30 30 30 2e 30 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 69 6e 20 3c 49 4d 47 K5.J2000.0.proper.motion.in.<IMG
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c1720 4a 75 6c 69 61 6e 20 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e Julian.year)</TD>.</TR>.</TABLE>
c1740 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e </DL>.<P>......<DL>.<DT><STRONG>
c1760 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e NOTES:</STRONG>.<DD><DL.COMPACT>
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c1900 0a 3c 44 44 3e 54 68 65 20 46 4b 35 20 74 6f 20 48 69 70 70 61 72 63 6f 73 0a 20 20 20 20 20 20 .<DD>The.FK5.to.Hipparcos.......
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c1a60 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
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c3c80 61 63 65 3c 42 52 3e 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d 6d 61 69 6c ace<BR>12.October.1999<BR>E-mail
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dbd40 0a 3c 2f 42 4c 4f 43 4b 51 55 4f 54 45 3e 0a 20 20 20 20 20 20 20 20 77 68 65 72 65 20 3c 42 3e .</BLOCKQUOTE>.........where.<B>
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dd140 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e .<DD>.<BR>.<TABLE.CELLPADDING=3>
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dd200 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 3a 3c 2f 53 54 52 .....<DL>.<DT><STRONG>NOTE:</STR
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df500 3e 53 4c 41 5f 4f 41 50 20 2d 20 4f 62 73 65 72 76 65 64 20 74 6f 20 41 70 70 61 72 65 6e 74 3c >SLA_OAP.-.Observed.to.Apparent<
df520 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 65 66 5f 53 4c 41 5f 4f 41 50 22 3e 26 23 31 36 30 /A>.<A.NAME="xref_SLA_OAP">&#160
df540 3b 3c 2f 41 3e 3c 41 20 4e 41 4d 45 3d 22 53 4c 41 5f 4f 41 50 22 3e 26 23 31 36 30 3b 3c 2f 41 ;</A><A.NAME="SLA_OAP">&#160;</A
df560 3e 0a 3c 2f 48 32 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e >.</H2>........<DL>.<DT><STRONG>
df580 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 4f 62 73 65 72 76 65 64 20 74 6f ACTION:</STRONG>.<DD>Observed.to
df5a0 20 61 70 70 61 72 65 6e 74 20 70 6c 61 63 65 2e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c .apparent.place..<DT><STRONG>CAL
df5c0 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 4f 41 50 L:</STRONG>.<DD><TT>CALL.sla_OAP
df5e0 20 28 0a 20 20 20 20 20 20 20 20 20 54 59 50 45 2c 20 4f 42 31 2c 20 4f 42 32 2c 20 44 41 54 45 .(..........TYPE,.OB1,.OB2,.DATE
df600 2c 20 44 55 54 2c 20 45 4c 4f 4e 47 4d 2c 20 50 48 49 4d 2c 0a 20 20 20 20 20 20 20 20 20 48 4d ,.DUT,.ELONGM,.PHIM,..........HM
df620 2c 20 58 50 2c 20 59 50 2c 20 54 44 4b 2c 20 50 4d 42 2c 20 52 48 2c 20 57 4c 2c 20 54 4c 52 2c ,.XP,.YP,.TDK,.PMB,.RH,.WL,.TLR,
df640 20 52 41 50 2c 20 44 41 50 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a .RAP,.DAP)</TT>.<P>.......</DL>.
df660 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c <P>.....<DL>.<DT><STRONG>GIVEN:<
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df6c0 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 54 59 50 45 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 IGN="LEFT"><EM>TYPE</EM></TD>.<T
df6e0 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 43 2a 28 2a 29 3c 2f 42 3e 3c 2f 54 48 3e H.ALIGN="LEFT"><B>C*(*)</B></TH>
df700 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 74 79 70 65 20 6f 66 .<TD.ALIGN="LEFT".NOWRAP>type.of
df720 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 2d 20 60 52 27 2c 20 60 48 27 20 6f 72 20 60 41 27 20 28 .coordinates.-.`R',.`H'.or.`A'.(
df740 73 65 65 20 62 65 6c 6f 77 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e see.below)</TD>.</TR>.<TR.VALIGN
df760 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4f 42 31 3c ="TOP"><TD.ALIGN="LEFT"><EM>OB1<
df780 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c /EM></TD>.<TD.ALIGN="LEFT"><B>D<
df7a0 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 /B></TD>.<TD.ALIGN="LEFT".NOWRAP
df7c0 3e 6f 62 73 65 72 76 65 64 20 41 7a 2c 20 48 41 20 6f 72 20 52 41 20 28 72 61 64 69 61 6e 73 3b >observed.Az,.HA.or.RA.(radians;
df7e0 20 41 7a 20 69 73 20 4e 3d 30 2c 20 45 3d 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 .Az.is.N=0,.E=<IMG.WIDTH="26".HE
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df840 5c 63 69 72 63 7d 24 22 3e 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e \circ}$">)</TD>.</TR>.<TR.VALIGN
df860 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4f 42 32 3c ="TOP"><TD.ALIGN="LEFT"><EM>OB2<
df880 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c /EM></TD>.<TD.ALIGN="LEFT"><B>D<
df8a0 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 /B></TD>.<TD.ALIGN="LEFT".NOWRAP
df8c0 3e 6f 62 73 65 72 76 65 64 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 6f 72 20 3c 49 4d >observed.zenith.distance.or.<IM
df8e0 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 G.WIDTH="10".HEIGHT="13".ALIGN="
df900 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 BOTTOM".BORDER="0"..SRC="img23.g
df920 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f if"..ALT="$\delta$">.(radians)</
df940 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
df960 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 41 54 45 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c LIGN="LEFT"><EM>DATE</EM></TD>.<
df980 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 20 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c TD.ALIGN="LEFT"><B>D.</B></TD>.<
df9a0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 55 54 43 20 64 61 74 65 2f TD.ALIGN="LEFT".NOWRAP>UTC.date/
df9c0 74 69 6d 65 20 28 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 2c 20 4a 44 2d 32 time.(Modified.Julian.Date,.JD-2
df9e0 34 30 30 30 30 30 2e 35 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 400000.5)</TD>.</TR>.<TR.VALIGN=
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dfa80 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 N="BOTTOM".BORDER="0"..SRC="img1
dfaa0 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 44 65 6c 74 61 24 22 3e 55 54 3a 20 20 55 54 31 2d 9.gif"..ALT="$\Delta$">UT:..UT1-
dfac0 55 54 43 20 28 55 54 43 20 73 65 63 6f 6e 64 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 UTC.(UTC.seconds)</TD>.</TR>.<TR
dfae0 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c .VALIGN="TOP"><TD.ALIGN="LEFT"><
dfb00 45 4d 3e 45 4c 4f 4e 47 4d 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c EM>ELONGM</EM></TD>.<TD.ALIGN="L
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dfb40 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 72 27 73 20 6d 65 61 6e 20 6c 6f 6e 67 69 FT".NOWRAP>observer's.mean.longi
dfb60 74 75 64 65 20 28 72 61 64 69 61 6e 73 2c 20 65 61 73 74 20 2b 76 65 29 3c 2f 54 44 3e 0a 3c 2f tude.(radians,.east.+ve)</TD>.</
dfb80 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
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dfbe0 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 72 27 73 20 6d 65 61 6e 20 N="LEFT".NOWRAP>observer's.mean.
dfc00 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e geodetic.latitude.(radians)</TD>
dfc20 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
dfc40 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 48 4d 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c N="LEFT"><EM>HM</EM></TD>.<TD.AL
dfc60 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 IGN="LEFT"><B>D</B></TD>.<TD.ALI
dfc80 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 72 27 73 20 68 65 69 67 GN="LEFT".NOWRAP>observer's.heig
dfca0 68 74 20 61 62 6f 76 65 20 73 65 61 20 6c 65 76 65 6c 20 28 6d 65 74 72 65 73 29 3c 2f 54 44 3e ht.above.sea.level.(metres)</TD>
dfcc0 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
dfce0 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 58 50 2c 59 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 N="LEFT"><EM>XP,YP</EM></TD>.<TD
dfd00 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>D</B></TD>.<TD.
dfd20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e ALIGN="LEFT".NOWRAP>polar.motion
dfd40 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 .<IMG.WIDTH="42".HEIGHT="29".ALI
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dfda0 64 69 6e 61 74 65 73 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 dinates.(radians)</TD>.</TR>.<TR
dfdc0 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c .VALIGN="TOP"><TD.ALIGN="LEFT"><
dfde0 45 4d 3e 54 44 4b 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 EM>TDK</EM></TD>.<TD.ALIGN="LEFT
dfe00 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 "><B>D</B></TD>.<TD.ALIGN="LEFT"
dfe20 20 4e 4f 57 52 41 50 3e 6c 6f 63 61 6c 20 61 6d 62 69 65 6e 74 20 74 65 6d 70 65 72 61 74 75 72 .NOWRAP>local.ambient.temperatur
dfe40 65 20 28 64 65 67 72 65 65 73 20 4b 3b 20 73 74 64 3d 32 37 33 2e 31 35 35 44 30 29 3c 2f 54 44 e.(degrees.K;.std=273.155D0)</TD
dfe60 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 >.</TR>.<TR.VALIGN="TOP"><TD.ALI
dfe80 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 4d 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 GN="LEFT"><EM>PMB</EM></TD>.<TD.
dfea0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 ALIGN="LEFT"><B>D</B></TD>.<TD.A
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dfee0 65 72 69 63 20 70 72 65 73 73 75 72 65 20 28 6d 42 3b 20 73 74 64 3d 31 30 31 33 2e 32 35 44 30 eric.pressure.(mB;.std=1013.25D0
dff00 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
dff20 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a D.ALIGN="LEFT"><EM>RH</EM></TD>.
dff40 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>D</B></TD>.<
dff60 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 6f 63 61 6c 20 72 65 6c TD.ALIGN="LEFT".NOWRAP>local.rel
dff80 61 74 69 76 65 20 68 75 6d 69 64 69 74 79 20 28 69 6e 20 74 68 65 20 72 61 6e 67 65 20 30 44 30 ative.humidity.(in.the.range.0D0
dffa0 2d 31 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 -1D0)</TD>.</TR>.<TR.VALIGN="TOP
dffc0 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 57 4c 3c 2f 45 4d 3e 3c 2f "><TD.ALIGN="LEFT"><EM>WL</EM></
dffe0 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 TD>.<TD.ALIGN="LEFT"><B>D</B></T
e0000 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 66 66 65 63 D>.<TD.ALIGN="LEFT".NOWRAP>effec
e0020 74 69 76 65 20 77 61 76 65 6c 65 6e 67 74 68 20 28 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 tive.wavelength.(<IMG.WIDTH="26"
e0040 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 .HEIGHT="25".ALIGN="MIDDLE".BORD
e0060 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c ER="0"..SRC="img21.gif"..ALT="$\
e0080 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 2c 20 3c 49 3e 65 2e 67 2e 3c 2f 49 3e 20 30 2e 35 35 44 30 mu{\rm.m}$">,.<I>e.g.</I>.0.55D0
e00a0 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
e00c0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 54 4c 52 3c 2f 45 4d 3e 3c 2f 54 44 3e D.ALIGN="LEFT"><EM>TLR</EM></TD>
e00e0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>D</B></TD>.
e0100 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 74 72 6f 70 6f 73 70 68 <TD.ALIGN="LEFT".NOWRAP>troposph
e0120 65 72 69 63 20 6c 61 70 73 65 20 72 61 74 65 20 28 64 65 67 72 65 65 73 20 4b 20 70 65 72 20 6d eric.lapse.rate.(degrees.K.per.m
e0140 65 74 72 65 2c 0a 3c 49 3e 65 2e 67 2e 3c 2f 49 3e 20 30 2e 30 30 36 35 44 30 29 3c 2f 54 44 3e etre,.<I>e.g.</I>.0.0065D0)</TD>
e0160 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c .</TR>.</TABLE></DL>.<P>.....<DL
e0180 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e >.<DT><STRONG>RETURNED:</STRONG>
e01a0 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e .<DD>.<BR>.<TABLE.CELLPADDING=3>
e01c0 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 .<TR.VALIGN="TOP"><TD.ALIGN="LEF
e01e0 54 22 3e 3c 45 4d 3e 52 41 50 2c 44 41 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 T"><EM>RAP,DAP</EM></TD>.<TH.ALI
e0200 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>D</B></TH>.<TD.ALIG
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e02c0 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 .<P>......<DL>.<DT><STRONG>NOTES
e02e0 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e :</STRONG>.<DD><DL.COMPACT>.<DT>
e0300 31 2e 0a 3c 44 44 3e 4f 6e 6c 79 20 74 68 65 20 66 69 72 73 74 20 63 68 61 72 61 63 74 65 72 20 1..<DD>Only.the.first.character.
e0320 6f 66 20 74 68 65 20 54 59 50 45 20 61 72 67 75 6d 65 6e 74 20 69 73 20 73 69 67 6e 69 66 69 63 of.the.TYPE.argument.is.signific
e0340 61 6e 74 2e 0a 60 52 27 20 6f 72 20 60 72 27 20 69 6e 64 69 63 61 74 65 73 20 74 68 61 74 20 4f ant..`R'.or.`r'.indicates.that.O
e0360 42 53 31 20 61 6e 64 20 4f 42 53 32 20 61 72 65 20 74 68 65 20 6f 62 73 65 72 76 65 64 20 52 69 BS1.and.OBS2.are.the.observed.Ri
e0380 67 68 74 0a 41 73 63 65 6e 73 69 6f 6e 20 61 6e 64 20 44 65 63 6c 69 6e 61 74 69 6f 6e 3b 20 20 ght.Ascension.and.Declination;..
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e76e0 30 20 09 09 20 47 72 65 65 6e 62 61 6e 6b 20 33 30 30 20 66 6f 6f 74 20 0a 47 45 4d 49 4e 49 4e 0....Greenbank.300.foot..GEMININ
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e7720 48 41 52 56 41 52 44 20 09 09 20 48 61 72 76 61 72 64 20 43 6f 6c 6c 65 67 65 20 4f 62 73 65 72 HARVARD....Harvard.College.Obser
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e7880 61 20 37 34 20 69 6e 63 68 20 0a 4b 50 4e 4f 31 35 38 20 09 09 20 4b 69 74 74 20 50 65 61 6b 20 a.74.inch..KPNO158....Kitt.Peak.
e78a0 31 35 38 20 69 6e 63 68 20 0a 4b 50 4e 4f 33 36 46 54 20 09 09 20 4b 69 74 74 20 50 65 61 6b 20 158.inch..KPNO36FT....Kitt.Peak.
e78c0 33 36 20 66 6f 6f 74 20 0a 4b 50 4e 4f 38 34 20 09 09 20 4b 69 74 74 20 50 65 61 6b 20 38 34 20 36.foot..KPNO84....Kitt.Peak.84.
e78e0 69 6e 63 68 20 0a 4b 50 4e 4f 39 30 20 09 09 20 4b 69 74 74 20 50 65 61 6b 20 39 30 20 69 6e 63 inch..KPNO90....Kitt.Peak.90.inc
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e7940 20 0a 4c 50 4f 31 20 09 09 20 4a 61 63 6f 62 75 73 20 4b 61 70 74 65 79 6e 20 31 6d 20 54 65 6c ..LPO1....Jacobus.Kapteyn.1m.Tel
e7960 65 73 63 6f 70 65 20 0a 4c 50 4f 32 2e 35 20 09 09 20 49 73 61 61 63 20 4e 65 77 74 6f 6e 20 32 escope..LPO2.5....Isaac.Newton.2
e7980 2e 35 6d 20 54 65 6c 65 73 63 6f 70 65 20 0a 4c 50 4f 34 2e 32 20 09 09 20 57 69 6c 6c 69 61 6d .5m.Telescope..LPO4.2....William
e79a0 20 48 65 72 73 63 68 65 6c 20 34 2e 32 6d 20 54 65 6c 65 73 63 6f 70 65 20 0a 4d 41 55 4e 41 4b .Herschel.4.2m.Telescope..MAUNAK
e79c0 38 38 20 09 09 20 4d 61 75 6e 61 20 4b 65 61 20 38 38 20 69 6e 63 68 20 0a 4d 43 44 4f 4e 4c 44 88....Mauna.Kea.88.inch..MCDONLD
e79e0 32 2e 31 20 09 09 20 4d 63 44 6f 6e 61 6c 64 20 32 2e 31 20 6d 65 74 72 65 20 0a 4d 43 44 4f 4e 2.1....McDonald.2.1.metre..MCDON
e7a00 4c 44 32 2e 37 20 09 09 20 4d 63 44 6f 6e 61 6c 64 20 32 2e 37 20 6d 65 74 72 65 20 0a 4d 4d 54 LD2.7....McDonald.2.7.metre..MMT
e7a20 20 09 09 20 4d 4d 54 2c 20 4d 74 20 48 6f 70 6b 69 6e 73 20 0a 4d 4f 50 52 41 20 09 09 20 41 54 ....MMT,.Mt.Hopkins..MOPRA....AT
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e8ca0 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e .</DL>.<P>.....<DL>.<DT><STRONG>
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f17c0 3d 31 0a 20 20 20 20 20 20 20 20 3c 2f 42 4c 4f 43 4b 51 55 4f 54 45 3e 0a 20 20 20 20 20 20 20 =1.........</BLOCKQUOTE>........
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f36e0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>D</B></TD>.<
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f3760 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
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f3800 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 4d 31 3c 2f 45 4d 3e 3c 2f 54 <TD.ALIGN="LEFT"><EM>AM1</EM></T
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f38e0 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 .<BR>.<TABLE.CELLPADDING=3>.<TR.
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f3ac0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a <TD.ALIGN="LEFT"><EM></EM></TD>.
f3ae0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 <TD.ALIGN="LEFT"><B></B></TD>.<T
f3b00 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 2b 31 20 74 6f 20 2b 38 20 D.ALIGN="LEFT".NOWRAP>.+1.to.+8.
f3b20 3d 20 63 6f 69 6e 63 69 64 65 6e 74 20 77 69 74 68 20 6d 61 6a 6f 72 20 70 6c 61 6e 65 74 0a 28 =.coincident.with.major.planet.(
f3b40 4e 6f 74 65 26 6e 62 73 70 3b 36 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 Note&nbsp;6)</TD>.</TR>.<TR.VALI
f3b60 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f GN="TOP"><TD.ALIGN="LEFT"><EM></
f3b80 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 EM></TD>.<TD.ALIGN="LEFT"><B></B
f3ba0 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 ></TD>.<TD.ALIGN="LEFT".NOWRAP>.
f3bc0 20 20 20 20 20 20 20 30 20 3d 20 4f 4b 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c .......0.=.OK</TD>.</TR>.<TR.VAL
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f3c60 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c R>.<TR.VALIGN="TOP"><TD.ALIGN="L
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f3d60 61 6c 20 41 4f 52 51 30 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 al.AORQ0</TD>.</TR>.<TR.VALIGN="
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f3dc0 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 20 20 D>.<TD.ALIGN="LEFT".NOWRAP>.....
f3de0 2d 34 20 3d 20 69 6e 74 65 72 6e 61 6c 20 65 72 72 6f 72 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c -4.=.internal.error</TD>.</TR>.<
f3e00 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 TR.VALIGN="TOP"><TD.ALIGN="LEFT"
f3e20 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 ><EM></EM></TD>.<TD.ALIGN="LEFT"
f3e40 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e ><B></B></TD>.<TD.ALIGN="LEFT".N
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f3e80 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 /TD>.</TR>.</TABLE></DL>.<P>....
f3ea0 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e ..<DL>.<DT><STRONG>NOTES:</STRON
f3ec0 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 G>.<DD><DL.COMPACT>.<DT>1..<DD>T
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f3f20 42 52 3e 0a 4a 46 4f 52 4d 3d 32 2c 20 73 75 69 74 61 62 6c 65 20 66 6f 72 20 6d 69 6e 6f 72 20 BR>.JFORM=2,.suitable.for.minor.
f3f40 70 6c 61 6e 65 74 73 3a 0a 3c 50 52 45 3e 3c 54 54 3e 0a 20 09 09 20 45 50 4f 43 48 20 09 09 20 planets:.<PRE><TT>.....EPOCH....
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f4060 48 20 09 09 20 3d 20 09 09 20 61 72 67 75 6d 65 6e 74 20 6f 66 20 70 65 72 69 68 65 6c 69 6f 6e H....=....argument.of.perihelion
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f40e0 6e 73 29 0a 09 09 20 41 4f 52 51 20 09 09 20 3d 20 09 09 20 6d 65 61 6e 20 64 69 73 74 61 6e 63 ns)....AORQ....=....mean.distanc
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f6540 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 <P>.....<DL>.<DT><STRONG>RETURNE
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f65a0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4a 53 54 41 54 3c 2f 45 4d 3e 3c 2f 54 44 .ALIGN="LEFT"><EM>JSTAT</EM></TD
f65c0 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 48 3e >.<TH.ALIGN="LEFT"><B>I</B></TH>
f65e0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 73 74 61 74 75 73 3a .<TD.ALIGN="LEFT".NOWRAP>status:
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f6640 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 .ALIGN="LEFT"><B></B></TD>.<TD.A
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f6700 52 41 50 3e 20 2b 31 30 31 20 3d 20 77 61 72 6e 69 6e 67 2c 20 6c 61 72 67 65 20 74 69 6d 65 73 RAP>.+101.=.warning,.large.times
f6720 70 61 6e 0a 28 26 67 74 3b 31 30 30 20 79 65 61 72 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c pan.(&gt;100.years)</TD>.</TR>.<
f6740 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 TR.VALIGN="TOP"><TD.ALIGN="LEFT"
f6760 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 ><EM></EM></TD>.<TD.ALIGN="LEFT"
f6780 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e ><B></B></TD>.<TD.ALIGN="LEFT".N
f67a0 4f 57 52 41 50 3e 20 2b 31 20 74 6f 20 2b 38 20 3d 20 63 6f 69 6e 63 69 64 65 6e 74 20 77 69 74 OWRAP>.+1.to.+8.=.coincident.wit
f67c0 68 20 6d 61 6a 6f 72 20 70 6c 61 6e 65 74 0a 28 4e 6f 74 65 26 6e 62 73 70 3b 35 29 3c 2f 54 44 h.major.planet.(Note&nbsp;5)</TD
f67e0 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 >.</TR>.<TR.VALIGN="TOP"><TD.ALI
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f6900 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 L>.<P>......<DL>.<DT><STRONG>NOT
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f6940 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 60 60 75 6e 69 76 65 72 73 61 6c 27 27 20 65 6c 65 6d 65 T>1..<DD>The.``universal''.eleme
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f69c0 72 65 66 65 72 65 6e 63 65 20 32 29 2e 0a 54 68 65 79 20 63 6f 6e 73 69 73 74 20 6f 66 20 74 68 reference.2)..They.consist.of.th
f69e0 65 20 63 6f 6d 62 69 6e 65 64 20 6d 61 73 73 20 6f 66 20 74 68 65 20 74 77 6f 20 62 6f 64 69 65 e.combined.mass.of.the.two.bodie
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f6a40 74 72 61 72 79 20 72 65 66 65 72 65 6e 63 65 20 66 72 61 6d 65 29 0a 20 20 20 20 20 20 20 20 61 trary.reference.frame).........a
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f6de0 2c 20 55 28 33 29 20 61 6e 64 20 55 28 31 32 29 20 61 72 65 20 61 6c 6c 20 4d 6f 64 69 66 69 65 ,.U(3).and.U(12).are.all.Modifie
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f6e20 30 30 2e 35 29 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 54 68 65 20 61 6c 67 6f 72 69 74 68 00.5)....<DT>4..<DD>The.algorith
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f6e60 73 20 6d 65 74 68 6f 64 2e 20 20 49 74 20 74 61 6b 65 73 20 61 73 0a 20 20 20 20 20 20 20 20 61 s.method...It.takes.as.........a
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f6f00 73 2e 0a 20 20 20 20 20 20 20 20 54 68 65 20 65 78 70 72 65 73 73 69 6f 6e 20 75 73 65 64 20 69 s..........The.expression.used.i
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f7100 20 20 20 20 20 20 20 20 45 76 65 72 68 61 72 74 20 61 6e 64 20 50 69 74 6b 69 6e 2c 20 62 79 70 ........Everhart.and.Pitkin,.byp
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f7180 66 75 6c 6c 20 45 6e 63 6b 65 20 6d 65 74 68 6f 64 20 69 73 20 6e 6f 74 20 75 73 65 64 2e 20 20 full.Encke.method.is.not.used...
f71a0 54 68 65 20 70 75 72 70 6f 73 65 0a 20 20 20 20 20 20 20 20 6f 66 20 74 68 69 73 20 70 61 72 74 The.purpose.........of.this.part
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f9e80 67 61 6c 20 44 4d 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f gal.DM</TD>.</TR>.<TR.VALIGN="TO
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f9f20 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f LE></DL>.<P>......<DL>.<DT><STRO
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fa0c0 6f 77 73 2e 20 3c 42 52 3e 0a 3c 50 3e 0a 4a 46 4f 52 4d 3d 31 2c 20 73 75 69 74 61 62 6c 65 20 ows..<BR>.<P>.JFORM=1,.suitable.
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fa100 20 20 3c 50 52 45 3e 3c 54 54 3e 0a 20 09 09 20 45 50 4f 43 48 20 09 09 20 3d 20 09 09 20 65 70 ..<PRE><TT>.....EPOCH....=....ep
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fa140 3c 2f 49 3e 20 28 54 54 20 4d 4a 44 29 0a 09 09 20 4f 52 42 49 4e 43 20 09 09 20 3d 20 09 09 20 </I>.(TT.MJD)....ORBINC....=....
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fa580 5c 6f 6d 65 67 61 24 22 3e 20 28 72 61 64 69 61 6e 73 29 0a 09 09 20 41 4f 52 51 20 09 09 20 3d \omega$">.(radians)....AORQ....=
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fc360 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f <B></B></TD>.<TD.ALIGN="LEFT".NO
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fc4e0 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 <STRONG>NOTES:</STRONG>.<DD><DL.
fc500 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 65 70 6f 63 68 2c 20 44 COMPACT>.<DT>1..<DD>The.epoch,.D
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fc540 20 69 73 20 69 6e 20 74 68 65 20 66 6f 72 6d 0a 6f 66 20 61 20 4d 6f 64 69 66 69 65 64 20 4a 75 .is.in.the.form.of.a.Modified.Ju
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fc580 0a 3c 44 44 3e 54 68 65 20 72 65 66 65 72 65 6e 63 65 20 66 72 61 6d 65 20 69 73 20 65 71 75 61 .<DD>The.reference.frame.is.equa
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febc0 4f 52 4d 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c ORM</EM></TD>.<TD.ALIGN="LEFT"><
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100900 00 75 73 74 61 72 00 30 30 70 74 77 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .ustar.00ptw....................
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1009a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1009c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1009e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
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101080 45 6c 65 6d 65 6e 74 73 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 3c 50 3e 0a 3c 50 3e 3c 21 Elements</A>.<BR>.<HR>.<P>.<P><!
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1010c0 3e 3c 41 20 4e 41 4d 45 3d 22 53 45 43 54 49 4f 4e 30 30 30 34 31 33 36 30 30 30 30 30 30 30 30 ><A.NAME="SECTION000413600000000
1010e0 30 30 30 30 30 30 30 22 3e 53 4c 41 5f 50 4d 20 2d 20 50 72 6f 70 65 72 20 4d 6f 74 69 6f 6e 3c 0000000">SLA_PM.-.Proper.Motion<
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101140 3c 2f 48 32 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 </H2>........<DL>.<DT><STRONG>AC
101160 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 41 70 70 6c 79 20 63 6f 72 72 65 63 74 TION:</STRONG>.<DD>Apply.correct
101180 69 6f 6e 73 20 66 6f 72 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 74 6f 20 61 20 73 74 61 72 ions.for.proper.motion.to.a.star
1011a0 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 .<IMG.WIDTH="42".HEIGHT="29".ALI
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101200 5d 24 22 3e 2e 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a ]$">.<DT><STRONG>CALL:</STRONG>.
101220 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 50 4d 20 28 52 30 2c 20 44 30 2c 20 50 52 2c <DD><TT>CALL.sla_PM.(R0,.D0,.PR,
101240 20 50 44 2c 20 50 58 2c 20 52 56 2c 20 45 50 30 2c 20 45 50 31 2c 20 52 31 2c 20 44 31 29 3c 2f .PD,.PX,.RV,.EP0,.EP1,.R1,.D1)</
101260 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e TT>.<P>.......</DL>.<P>.....<DL>
101280 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 .<DT><STRONG>GIVEN:</STRONG>.<DD
1012a0 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 >.<BR>.<TABLE.CELLPADDING=3>.<TR
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101300 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 FT"><B>D</B></TH>.<TD.ALIGN="LEF
101320 54 22 20 4e 4f 57 52 41 50 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 T".NOWRAP><IMG.WIDTH="42".HEIGHT
101340 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="29".ALIGN="MIDDLE".BORDER="0".
101360 20 53 52 43 3d 22 69 6d 67 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 5c 61 6c 70 68 61 .SRC="img3.gif"..ALT="$[\,\alpha
101380 2c 5c 64 65 6c 74 61 5c 2c 5d 24 22 3e 20 61 74 20 65 70 6f 63 68 20 45 50 30 20 28 72 61 64 69 ,\delta\,]$">.at.epoch.EP0.(radi
1013a0 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 ans)</TD>.</TR>.<TR.VALIGN="TOP"
1013c0 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 52 2c 50 44 3c 2f 45 4d 3e ><TD.ALIGN="LEFT"><EM>PR,PD</EM>
1013e0 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c </TD>.<TD.ALIGN="LEFT"><B>D</B><
101400 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 72 6f /TD>.<TD.ALIGN="LEFT".NOWRAP>pro
101420 70 65 72 20 6d 6f 74 69 6f 6e 73 3a 20 20 72 61 74 65 20 6f 66 20 63 68 61 6e 67 65 20 6f 66 20 per.motions:..rate.of.change.of.
101440 0a 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 .<IMG.WIDTH="42".HEIGHT="29".ALI
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101480 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 5c 61 6c 70 68 61 2c 5c 64 65 6c 74 61 5c 2c 3.gif"..ALT="$[\,\alpha,\delta\,
1014a0 5d 24 22 3e 20 20 28 72 61 64 69 61 6e 73 20 70 65 72 20 79 65 61 72 29 3c 2f 54 44 3e 0a 3c 2f ]$">..(radians.per.year)</TD>.</
1014c0 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
1014e0 4c 45 46 54 22 3e 3c 45 4d 3e 50 58 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e LEFT"><EM>PX</EM></TD>.<TD.ALIGN
101500 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d ="LEFT"><B>D</B></TD>.<TD.ALIGN=
101520 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 61 72 61 6c 6c 61 78 20 28 61 72 63 73 65 63 29 3c "LEFT".NOWRAP>parallax.(arcsec)<
101540 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
101560 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 56 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 ALIGN="LEFT"><EM>RV</EM></TD>.<T
101580 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 D.ALIGN="LEFT"><B>D</B></TD>.<TD
1015a0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 61 64 69 61 6c 20 76 65 6c 6f .ALIGN="LEFT".NOWRAP>radial.velo
1015c0 63 69 74 79 20 28 6b 6d 26 6e 62 73 70 3b 73 3c 53 55 50 3e 2d 31 3c 2f 53 55 50 3e 2c 20 2b 76 city.(km&nbsp;s<SUP>-1</SUP>,.+v
1015e0 65 20 69 66 20 72 65 63 65 64 69 6e 67 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 e.if.receding)</TD>.</TR>.<TR.VA
101600 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
101620 45 50 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c EP0</EM></TD>.<TD.ALIGN="LEFT"><
101640 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f B>D</B></TD>.<TD.ALIGN="LEFT".NO
101660 57 52 41 50 3e 73 74 61 72 74 20 65 70 6f 63 68 20 69 6e 20 79 65 61 72 73 20 28 3c 49 3e 65 2e WRAP>start.epoch.in.years.(<I>e.
101680 67 2e 3c 2f 49 3e 20 4a 75 6c 69 61 6e 20 65 70 6f 63 68 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a g.</I>.Julian.epoch)</TD>.</TR>.
1016a0 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <TR.VALIGN="TOP"><TD.ALIGN="LEFT
1016c0 22 3e 3c 45 4d 3e 45 50 31 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c "><EM>EP1</EM></TD>.<TD.ALIGN="L
1016e0 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 EFT"><B>D</B></TD>.<TD.ALIGN="LE
101700 46 54 22 20 4e 4f 57 52 41 50 3e 65 6e 64 20 65 70 6f 63 68 20 69 6e 20 79 65 61 72 73 20 28 73 FT".NOWRAP>end.epoch.in.years.(s
101720 61 6d 65 20 73 79 73 74 65 6d 20 61 73 20 45 50 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f ame.system.as.EP0)</TD>.</TR>.</
101740 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 TABLE></DL>.<P>.....<DL>.<DT><ST
101760 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 RONG>RETURNED:</STRONG>.<DD>.<BR
101780 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 >.<TABLE.CELLPADDING=3>.<TR.VALI
1017a0 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 31 GN="TOP"><TD.ALIGN="LEFT"><EM>R1
1017c0 2c 44 31 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c ,D1</EM></TD>.<TH.ALIGN="LEFT"><
1017e0 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f B>D</B></TH>.<TD.ALIGN="LEFT".NO
101800 57 52 41 50 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 WRAP><IMG.WIDTH="42".HEIGHT="29"
101820 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="MIDDLE".BORDER="0"..SRC=
101840 22 69 6d 67 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 5c 61 6c 70 68 61 2c 5c 64 65 6c "img3.gif"..ALT="$[\,\alpha,\del
101860 74 61 5c 2c 5d 24 22 3e 20 61 74 20 65 70 6f 63 68 20 45 50 31 20 28 72 61 64 69 61 6e 73 29 3c ta\,]$">.at.epoch.EP1.(radians)<
101880 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 /TD>.</TR>.</TABLE></DL>.<P>....
1018a0 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 3a 3c 2f 53 54 52 4f 4e 47 ..<DL>.<DT><STRONG>NOTE:</STRONG
1018c0 3e 0a 3c 44 44 3e 54 68 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 >.<DD>The.<IMG.WIDTH="13".HEIGHT
1018e0 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="14".ALIGN="BOTTOM".BORDER="0".
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102ac0 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c >GIVEN:</STRONG>.<DD>.<BR>.<TABL
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102ce0 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e N="LEFT"><B>I</B></TH>.<TD.ALIGN
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102d40 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
102d60 52 45 53 4c 54 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 RESLT</EM></TD>.<TD.ALIGN="LEFT"
102d80 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>R</B></TD>.<TD.ALIGN="LEFT".
102da0 4e 4f 57 52 41 50 3e 61 6e 67 6c 65 20 69 6e 20 72 61 64 69 61 6e 73 3c 2f 54 44 3e 0a 3c 2f 54 NOWRAP>angle.in.radians</TD>.</T
102dc0 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c R>.<TR.VALIGN="TOP"><TD.ALIGN="L
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102e00 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 "LEFT"><B>I</B></TD>.<TD.ALIGN="
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102e40 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <TR.VALIGN="TOP"><TD.ALIGN="LEFT
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102ec0 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c .VALIGN="TOP"><TD.ALIGN="LEFT"><
102ee0 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c EM></EM></TD>.<TD.ALIGN="LEFT"><
102f00 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 B></B></TD>.<TD.ALIGN="LEFT".NOW
102f20 52 41 50 3e 20 20 2b 31 20 3d 20 64 65 66 61 75 6c 74 2c 20 52 45 53 4c 54 20 75 6e 63 68 61 6e RAP>..+1.=.default,.RESLT.unchan
102f40 67 65 64 20 28 6e 6f 74 65 20 32 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 ged.(note.2)</TD>.</TR>.<TR.VALI
102f60 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f GN="TOP"><TD.ALIGN="LEFT"><EM></
102f80 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 EM></TD>.<TD.ALIGN="LEFT"><B></B
102fa0 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 ></TD>.<TD.ALIGN="LEFT".NOWRAP>.
102fc0 20 2d 31 20 3d 20 62 61 64 20 64 65 67 72 65 65 73 20 28 6e 6f 74 65 20 33 29 3c 2f 54 44 3e 0a .-1.=.bad.degrees.(note.3)</TD>.
102fe0 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
103000 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e ="LEFT"><EM></EM></TD>.<TD.ALIGN
103020 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 ="LEFT"><B></B></TD>.<TD.ALIGN="
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103060 65 73 20 28 6e 6f 74 65 20 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 es.(note.3)</TD>.</TR>.<TR.VALIG
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1030a0 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e M></TD>.<TD.ALIGN="LEFT"><B></B>
1030c0 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 </TD>.<TD.ALIGN="LEFT".NOWRAP>..
1030e0 2d 33 20 3d 20 62 61 64 20 61 72 63 73 65 63 6f 6e 64 73 20 28 6e 6f 74 65 20 33 29 3c 2f 54 44 -3.=.bad.arcseconds.(note.3)</TD
103100 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 3c 44 4c 3e 0a 3c 44 >.</TR>.</TABLE></DL>.<P><DL>.<D
103120 54 3e 3c 53 54 52 4f 4e 47 3e 45 58 41 4d 50 4c 45 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e T><STRONG>EXAMPLE:</STRONG>.<DD>
103140 0a 3c 42 52 3e 0a 3c 42 52 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 .<BR>.<BR>.<BR>.<TABLE.CELLPADDI
103160 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 48 20 41 4c 49 47 4e NG=3>.<TR.VALIGN="TOP"><TH.ALIGN
103180 3d 22 4c 45 46 54 22 3e 3c 49 3e 61 72 67 75 6d 65 6e 74 3c 2f 49 3e 3c 2f 54 48 3e 0a 3c 54 48 ="LEFT"><I>argument</I></TH>.<TH
1031a0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 49 3e 62 65 66 6f 72 65 3c 2f 49 3e 3c 2f 54 48 3e .ALIGN="LEFT"><I>before</I></TH>
1031c0 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 49 3e 61 66 74 65 72 3c 2f 49 3e 3c 2f .<TH.ALIGN="LEFT"><I>after</I></
1031e0 54 48 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TH>.</TR>.<TR.VALIGN="TOP"><TD.A
103200 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 LIGN="LEFT">&nbsp;</TD>.<TD.ALIG
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103280 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 27 3c 63 6f 64 65 3e 2d 35 </TD>.<TD.ALIGN="LEFT">'<code>-5
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1032c0 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 75 6e 63 68 61 6e 67 65 64 3c /TD>.<TD.ALIGN="LEFT">unchanged<
1032e0 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
103300 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 4e 53 54 52 54 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 ALIGN="LEFT">NSTRT</TD>.<TD.ALIG
103320 4e 3d 22 4c 45 46 54 22 3e 31 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 N="LEFT">1</TD>.<TD.ALIGN="LEFT"
103340 3e 31 36 20 28 3c 49 3e 69 2e 65 2e 3c 2f 49 3e 20 70 6f 69 6e 74 69 6e 67 20 74 6f 20 31 32 2e >16.(<I>i.e.</I>.pointing.to.12.
103360 2e 2e 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e ..)</TD>.</TR>.<TR.VALIGN="TOP">
103380 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 52 45 53 4c 54 3c 2f 54 44 3e 0a 3c 54 44 20 <TD.ALIGN="LEFT">RESLT</TD>.<TD.
1033a0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 2d 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c ALIGN="LEFT">-</TD>.<TD.ALIGN="L
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1033e0 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 4a 46 3c 2f 54 IGN="TOP"><TD.ALIGN="LEFT">JF</T
103400 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 2d 3c 2f 54 44 3e 0a 3c 54 44 20 41 D>.<TD.ALIGN="LEFT">-</TD>.<TD.A
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103440 54 41 42 4c 45 3e 0a 20 3c 44 54 3e 3c 44 44 3e 20 41 20 66 75 72 74 68 65 72 20 63 61 6c 6c 20 TABLE>..<DT><DD>.A.further.call.
103460 74 6f 20 73 6c 61 5f 41 46 49 4e 2c 20 77 69 74 68 6f 75 74 20 61 64 6a 75 73 74 6d 65 6e 74 20 to.sla_AFIN,.without.adjustment.
103480 6f 66 20 4e 53 54 52 54 2c 20 77 69 6c 6c 0a 20 20 20 20 20 20 20 64 65 63 6f 64 65 20 74 68 65 of.NSTRT,.will........decode.the
1034a0 20 73 65 63 6f 6e 64 20 61 6e 67 6c 65 2c 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 39 30 22 20 48 .second.angle,.<IMG.WIDTH="90".H
1034c0 45 49 47 48 54 3d 22 31 38 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 EIGHT="18".ALIGN="BOTTOM".BORDER
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103520 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 L>.<P>......<DL>.<DT><STRONG>NOT
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103560 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 66 69 72 73 74 20 74 68 72 65 65 20 60 60 66 69 65 6c 64 T>1..<DD>The.first.three.``field
103580 73 27 27 20 69 6e 20 53 54 52 49 4e 47 20 61 72 65 20 64 65 67 72 65 65 73 2c 20 61 72 63 6d 69 s''.in.STRING.are.degrees,.arcmi
1035a0 6e 75 74 65 73 2c 0a 61 72 63 73 65 63 6f 6e 64 73 2c 20 73 65 70 61 72 61 74 65 64 20 62 79 20 nutes,.arcseconds,.separated.by.
1035c0 73 70 61 63 65 73 20 6f 72 20 63 6f 6d 6d 61 73 2e 20 20 54 68 65 20 64 65 67 72 65 65 73 20 66 spaces.or.commas...The.degrees.f
1035e0 69 65 6c 64 0a 6d 61 79 20 62 65 20 73 69 67 6e 65 64 2c 20 62 75 74 20 6e 6f 74 20 74 68 65 20 ield.may.be.signed,.but.not.the.
103600 6f 74 68 65 72 73 2e 20 20 54 68 65 20 64 65 63 6f 64 69 6e 67 20 69 73 20 63 61 72 72 69 65 64 others...The.decoding.is.carried
103620 0a 20 20 20 6f 75 74 20 62 79 20 74 68 65 20 73 6c 61 5f 44 46 4c 54 49 4e 20 72 6f 75 74 69 6e ....out.by.the.sla_DFLTIN.routin
103640 65 20 61 6e 64 20 69 73 20 66 72 65 65 2d 66 6f 72 6d 61 74 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c e.and.is.free-format....<DT>2..<
103660 44 44 3e 53 75 63 63 65 73 73 69 76 65 20 66 69 65 6c 64 73 20 6d 61 79 20 62 65 20 61 62 73 65 DD>Successive.fields.may.be.abse
103680 6e 74 2c 20 64 65 66 61 75 6c 74 69 6e 67 20 74 6f 20 7a 65 72 6f 2e 20 20 46 6f 72 0a 20 20 20 nt,.defaulting.to.zero...For....
1036a0 7a 65 72 6f 20 73 74 61 74 75 73 2c 20 74 68 65 20 6f 6e 6c 79 20 63 6f 6d 62 69 6e 61 74 69 6f zero.status,.the.only.combinatio
1036c0 6e 73 20 61 6c 6c 6f 77 65 64 20 61 72 65 20 64 65 67 72 65 65 73 20 61 6c 6f 6e 65 2c 0a 20 20 ns.allowed.are.degrees.alone,...
1036e0 20 64 65 67 72 65 65 73 20 61 6e 64 20 61 72 63 6d 69 6e 75 74 65 73 2c 20 61 6e 64 20 61 6c 6c .degrees.and.arcminutes,.and.all
103700 20 74 68 72 65 65 20 66 69 65 6c 64 73 20 70 72 65 73 65 6e 74 2e 20 20 49 66 20 61 6c 6c 0a 20 .three.fields.present...If.all..
103720 20 20 74 68 72 65 65 20 66 69 65 6c 64 73 20 61 72 65 20 6f 6d 69 74 74 65 64 2c 20 61 20 73 74 ..three.fields.are.omitted,.a.st
103740 61 74 75 73 20 6f 66 20 2b 31 20 69 73 20 72 65 74 75 72 6e 65 64 20 61 6e 64 20 52 45 53 4c 54 atus.of.+1.is.returned.and.RESLT
103760 20 69 73 0a 20 20 20 75 6e 63 68 61 6e 67 65 64 2e 20 20 49 6e 20 61 6c 6c 20 6f 74 68 65 72 20 .is....unchanged...In.all.other.
103780 63 61 73 65 73 20 52 45 53 4c 54 20 69 73 20 63 68 61 6e 67 65 64 2e 0a 20 20 3c 44 54 3e 33 2e cases.RESLT.is.changed....<DT>3.
1037a0 0a 3c 44 44 3e 52 61 6e 67 65 20 63 68 65 63 6b 69 6e 67 3a 0a 20 20 20 3c 55 4c 3e 0a 3c 4c 49 .<DD>Range.checking:....<UL>.<LI
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1037e0 20 63 68 65 63 6b 65 64 2e 20 20 48 6f 77 65 76 65 72 2c 20 69 74 20 69 73 0a 20 20 20 20 20 65 .checked...However,.it.is......e
103800 78 70 65 63 74 65 64 20 74 6f 20 62 65 20 69 6e 74 65 67 72 61 6c 20 75 6e 6c 65 73 73 20 74 68 xpected.to.be.integral.unless.th
103820 65 20 6f 74 68 65 72 20 74 77 6f 20 66 69 65 6c 64 73 20 61 72 65 20 61 62 73 65 6e 74 2e 0a 3c e.other.two.fields.are.absent..<
103840 4c 49 3e 20 54 68 65 20 61 72 63 6d 69 6e 75 74 65 73 20 66 69 65 6c 64 20 69 73 20 65 78 70 65 LI>.The.arcminutes.field.is.expe
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1038c0 20 20 20 20 20 69 73 20 61 62 73 65 6e 74 2c 20 74 68 65 20 61 72 63 6d 69 6e 75 74 65 73 20 69 .....is.absent,.the.arcminutes.i
1038e0 73 20 65 78 70 65 63 74 65 64 20 74 6f 20 62 65 20 30 2d 35 39 2e 39 39 39 39 2e 2e 2e 0a 3c 4c s.expected.to.be.0-59.9999....<L
103900 49 3e 20 54 68 65 20 61 72 63 73 65 63 6f 6e 64 73 20 66 69 65 6c 64 20 69 73 20 65 78 70 65 63 I>.The.arcseconds.field.is.expec
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103940 64 69 6e 67 20 63 6f 6e 74 69 6e 75 65 73 20 65 76 65 6e 20 77 68 65 6e 20 61 20 63 68 65 63 6b ding.continues.even.when.a.check
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104fe0 20 62 65 74 77 65 65 6e 20 63 65 6c 65 73 74 69 61 6c 20 61 6e 64 0a 20 20 20 20 20 20 20 20 20 .between.celestial.and..........
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105120 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TH>.<TD.ALIGN="LEFT".NOWRAP>
105140 6d 65 61 6e 20 6c 6f 6e 67 69 74 75 64 65 20 6f 66 20 74 68 65 20 73 69 74 65 20 28 72 61 64 69 mean.longitude.of.the.site.(radi
105160 61 6e 73 2c 20 65 61 73 74 20 2b 76 65 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 ans,.east.+ve)</TD>.</TR>.<TR.VA
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1051a0 50 48 49 4d 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e PHIM</EM></TD>.<TD.ALIGN="LEFT">
1051c0 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e <B>D</B></TD>.<TD.ALIGN="LEFT".N
1051e0 4f 57 52 41 50 3e 6d 65 61 6e 20 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 20 6f 66 20 OWRAP>mean.geodetic.latitude.of.
105200 74 68 65 20 73 69 74 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 the.site.(radians)</TD>.</TR>.<T
105220 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e R.VALIGN="TOP"><TD.ALIGN="LEFT">
105240 3c 45 4d 3e 58 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <EM>XP</EM></TD>.<TD.ALIGN="LEFT
105260 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 "><B>D</B></TD>.<TD.ALIGN="LEFT"
105280 20 4e 4f 57 52 41 50 3e 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 3c 49 3e 78 3c 2f 49 3e 2d 63 6f .NOWRAP>polar.motion.<I>x</I>-co
1052a0 6f 72 64 69 6e 61 74 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 ordinate.(radians)</TD>.</TR>.<T
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1052e0 3c 45 4d 3e 59 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <EM>YP</EM></TD>.<TD.ALIGN="LEFT
105300 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 "><B>D</B></TD>.<TD.ALIGN="LEFT"
105320 20 4e 4f 57 52 41 50 3e 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 3c 49 3e 79 3c 2f 49 3e 2d 63 6f .NOWRAP>polar.motion.<I>y</I>-co
105340 6f 72 64 69 6e 61 74 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f ordinate.(radians)</TD>.</TR>.</
105360 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 TABLE></DL>.<P>.....<DL>.<DT><ST
105380 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 RONG>RETURNED:</STRONG>.<DD>.<BR
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1053c0 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 45 4c GN="TOP"><TD.ALIGN="LEFT"><EM>EL
1053e0 4f 4e 47 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c ONG</EM></TD>.<TH.ALIGN="LEFT"><
105400 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f B>D</B></TH>.<TD.ALIGN="LEFT".NO
105420 57 52 41 50 3e 74 72 75 65 20 6c 6f 6e 67 69 74 75 64 65 20 6f 66 20 74 68 65 20 73 69 74 65 20 WRAP>true.longitude.of.the.site.
105440 28 72 61 64 69 61 6e 73 2c 20 65 61 73 74 20 2b 76 65 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c (radians,.east.+ve)</TD>.</TR>.<
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105480 3e 3c 45 4d 3e 50 48 49 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 ><EM>PHI</EM></TD>.<TD.ALIGN="LE
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1054c0 54 22 20 4e 4f 57 52 41 50 3e 74 72 75 65 20 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 T".NOWRAP>true.geodetic.latitude
1054e0 20 6f 66 20 74 68 65 20 73 69 74 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 .of.the.site.(radians)</TD>.</TR
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105580 28 74 65 72 72 65 73 74 72 69 61 6c 2d 63 65 6c 65 73 74 69 61 6c 2c 20 72 61 64 69 61 6e 73 29 (terrestrial-celestial,.radians)
1055a0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 </TD>.</TR>.</TABLE></DL>.<P>...
1055c0 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f ...<DL>.<DT><STRONG>NOTES:</STRO
1055e0 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e NG>.<DD><DL.COMPACT>.<DT>1..<DD>
105600 60 60 4d 65 61 6e 27 27 20 6c 6f 6e 67 69 74 75 64 65 20 61 6e 64 20 6c 61 74 69 74 75 64 65 20 ``Mean''.longitude.and.latitude.
105620 61 72 65 20 74 68 65 20 28 66 69 78 65 64 29 20 76 61 6c 75 65 73 20 66 6f 72 20 74 68 65 0a 73 are.the.(fixed).values.for.the.s
105640 69 74 65 27 73 20 6c 6f 63 61 74 69 6f 6e 20 77 69 74 68 20 72 65 73 70 65 63 74 20 74 6f 20 74 ite's.location.with.respect.to.t
105660 68 65 20 49 45 52 53 20 74 65 72 72 65 73 74 72 69 61 6c 20 72 65 66 65 72 65 6e 63 65 0a 66 72 he.IERS.terrestrial.reference.fr
105680 61 6d 65 3b 20 20 74 68 65 20 6c 61 74 69 74 75 64 65 20 69 73 20 67 65 6f 64 65 74 69 63 2e 20 ame;..the.latitude.is.geodetic..
1056a0 20 54 41 4b 45 20 43 41 52 45 20 57 49 54 48 20 54 48 45 20 4c 4f 4e 47 49 54 55 44 45 0a 20 20 .TAKE.CARE.WITH.THE.LONGITUDE...
1056c0 20 20 20 20 53 49 47 4e 20 43 4f 4e 56 45 4e 54 49 4f 4e 2e 20 20 54 68 65 20 6c 6f 6e 67 69 74 ....SIGN.CONVENTION...The.longit
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105720 6f 72 64 61 6e 63 65 20 77 69 74 68 20 67 65 6f 67 72 61 70 68 69 63 61 6c 20 63 6f 6e 76 65 6e ordance.with.geographical.conven
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105760 49 6e 20 70 61 72 74 69 63 75 6c 61 72 2c 20 6e 6f 74 65 20 74 68 61 74 20 74 68 65 20 6c 6f 6e In.particular,.note.that.the.lon
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1057a0 61 5f 4f 42 53 20 72 6f 75 74 69 6e 65 20 61 72 65 20 77 65 73 74 2d 70 6f 73 69 74 69 76 65 2c a_OBS.routine.are.west-positive,
1057c0 20 66 6f 6c 6c 6f 77 69 6e 67 0a 20 20 20 20 20 20 61 73 74 72 6f 6e 6f 6d 69 63 61 6c 20 75 73 .following.......astronomical.us
1057e0 61 67 65 2c 20 61 6e 64 20 6d 75 73 74 20 62 65 20 72 65 76 65 72 73 65 64 20 69 6e 20 73 69 67 age,.and.must.be.reversed.in.sig
105800 6e 20 62 65 66 6f 72 65 20 75 73 65 20 69 6e 0a 20 20 20 20 20 20 74 68 65 20 70 72 65 73 65 6e n.before.use.in.......the.presen
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105860 66 20 74 68 65 20 43 65 6c 65 73 74 69 61 6c 0a 20 20 20 20 20 20 45 70 68 65 6d 65 72 69 73 20 f.the.Celestial.......Ephemeris.
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106440 44 41 5a 3c 2f 54 54 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e DAZ</TT></TD>.<TD.ALIGN="LEFT".N
106460 4f 57 52 41 50 3e 3c 54 54 3e 3d 3c 2f 54 54 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d OWRAP><TT>=</TT></TD>.<TD.ALIGN=
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108540 6e 74 65 6e 74 73 22 3e 3c 49 4d 47 20 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 ntents"><IMG..ALIGN="BOTTOM".BOR
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1085c0 74 6d 6c 22 3e 53 4c 41 5f 50 52 45 43 45 53 20 2d 20 50 72 65 63 65 73 73 69 6f 6e 3c 2f 41 3e tml">SLA_PRECES.-.Precession</A>
1085e0 0a 3c 42 52 3e 0a 3c 42 3e 55 70 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 .<BR>.<B>Up:</B>.<A.NAME="tex2ht
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108680 52 45 42 4e 20 2d 20 50 72 65 63 65 73 73 69 6f 6e 20 4d 61 74 72 69 78 20 28 46 4b 34 29 3c 2f REBN.-.Precession.Matrix.(FK4)</
1086a0 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 3c 50 3e 0a 3c 50 3e 3c 21 2d 2d 45 6e 64 20 6f 66 20 4e A>.<BR>.<HR>.<P>.<P><!--End.of.N
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108700 4c 41 5f 50 52 45 43 20 2d 20 50 72 65 63 65 73 73 69 6f 6e 20 4d 61 74 72 69 78 20 28 46 4b 35 LA_PREC.-.Precession.Matrix.(FK5
108720 29 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 65 66 5f 53 4c 41 5f 50 52 45 43 22 3e 26 23 )</A>.<A.NAME="xref_SLA_PREC">&#
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108760 3b 3c 2f 41 3e 0a 3c 2f 48 32 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 ;</A>.</H2>........<DL>.<DT><STR
108780 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 46 6f 72 6d 20 74 68 ONG>ACTION:</STRONG>.<DD>Form.th
1087a0 65 20 6d 61 74 72 69 78 20 6f 66 20 70 72 65 63 65 73 73 69 6f 6e 20 62 65 74 77 65 65 6e 20 74 e.matrix.of.precession.between.t
1087c0 77 6f 20 65 70 6f 63 68 73 20 28 49 41 55 20 31 39 37 36 2c 20 46 4b 35 29 2e 0a 3c 44 54 3e 3c wo.epochs.(IAU.1976,.FK5)..<DT><
1087e0 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 STRONG>CALL:</STRONG>.<DD><TT>CA
108800 4c 4c 20 73 6c 61 5f 50 52 45 43 20 28 45 50 30 2c 20 45 50 31 2c 20 52 4d 41 54 50 29 3c 2f 54 LL.sla_PREC.(EP0,.EP1,.RMATP)</T
108820 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a T>.<P>.......</DL>.<P>.....<DL>.
108840 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e <DT><STRONG>GIVEN:</STRONG>.<DD>
108860 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 .<BR>.<TABLE.CELLPADDING=3>.<TR.
108880 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 VALIGN="TOP"><TD.ALIGN="LEFT"><E
1088a0 4d 3e 45 50 30 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 M>EP0</EM></TD>.<TH.ALIGN="LEFT"
1088c0 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>D</B></TH>.<TD.ALIGN="LEFT".
1088e0 4e 4f 57 52 41 50 3e 62 65 67 69 6e 6e 69 6e 67 20 65 70 6f 63 68 3c 2f 54 44 3e 0a 3c 2f 54 52 NOWRAP>beginning.epoch</TD>.</TR
108900 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
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108940 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 "LEFT"><B>D</B></TD>.<TD.ALIGN="
108960 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 6e 64 69 6e 67 20 65 70 6f 63 68 3c 2f 54 44 3e 0a 3c LEFT".NOWRAP>ending.epoch</TD>.<
108980 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a /TR>.</TABLE></DL>.<P>.....<DL>.
1089a0 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c <DT><STRONG>RETURNED:</STRONG>.<
1089c0 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c DD>.<BR>.<TABLE.CELLPADDING=3>.<
1089e0 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 TR.VALIGN="TOP"><TD.ALIGN="LEFT"
108a00 3e 3c 45 4d 3e 52 4d 41 54 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 ><EM>RMATP</EM></TD>.<TH.ALIGN="
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108a40 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 72 65 63 65 73 73 69 6f 6e 20 6d 61 74 72 GN="LEFT".NOWRAP>precession.matr
108a60 69 78 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 ix</TD>.</TR>.</TABLE></DL>.<P>.
108a80 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 .....<DL>.<DT><STRONG>NOTES:</ST
108aa0 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 RONG>.<DD><DL.COMPACT>.<DT>1..<D
108ac0 44 3e 54 68 65 20 65 70 6f 63 68 73 20 61 72 65 20 54 44 42 20 4a 75 6c 69 61 6e 20 65 70 6f 63 D>The.epochs.are.TDB.Julian.epoc
108ae0 68 73 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 6d 61 74 72 69 78 20 69 73 20 69 6e 20 hs..<DT>2..<DD>The.matrix.is.in.
108b00 74 68 65 20 73 65 6e 73 65 3a 0a 3c 42 4c 4f 43 4b 51 55 4f 54 45 3e 3c 42 3e 76 3c 2f 42 3e 3c the.sense:.<BLOCKQUOTE><B>v</B><
108b20 53 55 42 3e 31 3c 2f 53 55 42 3e 20 3d 20 20 3c 42 3e 4d 3c 2f 42 3e 3c 49 4d 47 20 57 49 44 54 SUB>1</SUB>.=..<B>M</B><IMG.WIDT
108b40 48 3d 22 37 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 H="7".HEIGHT="14".ALIGN="BOTTOM"
108b60 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c .BORDER="0"..SRC="img72.gif"..AL
108b80 54 3d 22 24 5c 63 64 6f 74 24 22 3e 3c 42 3e 76 3c 2f 42 3e 3c 53 55 42 3e 30 3c 2f 53 55 42 3e T="$\cdot$"><B>v</B><SUB>0</SUB>
108ba0 3c 2f 42 4c 4f 43 4b 51 55 4f 54 45 3e 0a 20 20 20 20 20 20 20 20 77 68 65 72 65 20 3c 42 3e 76 </BLOCKQUOTE>.........where.<B>v
108bc0 3c 2f 42 3e 3c 53 55 42 3e 31 3c 2f 53 55 42 3e 20 69 73 20 74 68 65 20 73 74 61 72 20 76 65 63 </B><SUB>1</SUB>.is.the.star.vec
108be0 74 6f 72 20 72 65 6c 61 74 69 76 65 20 74 6f 20 74 68 65 0a 20 20 20 20 20 20 20 20 6d 65 61 6e tor.relative.to.the.........mean
108c00 20 65 71 75 61 74 6f 72 20 61 6e 64 20 65 71 75 69 6e 6f 78 20 6f 66 20 65 70 6f 63 68 20 45 50 .equator.and.equinox.of.epoch.EP
108c20 31 2c 20 3c 42 3e 4d 3c 2f 42 3e 20 69 73 20 74 68 65 0a 20 20 20 20 20 20 20 20 3c 49 4d 47 20 1,.<B>M</B>.is.the.........<IMG.
108c40 57 49 44 54 48 3d 22 33 39 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 WIDTH="39".HEIGHT="25".ALIGN="MI
108c60 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 38 2e 67 69 66 DDLE".BORDER="0"..SRC="img18.gif
108c80 22 0a 20 41 4c 54 3d 22 24 33 5c 74 69 6d 65 73 33 24 22 3e 20 6d 61 74 72 69 78 20 52 4d 41 54 "..ALT="$3\times3$">.matrix.RMAT
108ca0 50 20 61 6e 64 0a 20 20 20 20 20 20 20 20 3c 42 3e 76 3c 2f 42 3e 3c 53 55 42 3e 30 3c 2f 53 55 P.and.........<B>v</B><SUB>0</SU
108cc0 42 3e 20 69 73 20 74 68 65 20 73 74 61 72 20 76 65 63 74 6f 72 20 72 65 6c 61 74 69 76 65 20 74 B>.is.the.star.vector.relative.t
108ce0 6f 20 74 68 65 0a 20 20 20 20 20 20 20 20 6d 65 61 6e 20 65 71 75 61 74 6f 72 20 61 6e 64 20 65 o.the.........mean.equator.and.e
108d00 71 75 69 6e 6f 78 20 6f 66 20 65 70 6f 63 68 20 45 50 30 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 quinox.of.epoch.EP0....<DT>3..<D
108d20 44 3e 54 68 6f 75 67 68 20 74 68 65 20 6d 61 74 72 69 78 20 6d 65 74 68 6f 64 20 69 74 73 65 6c D>Though.the.matrix.method.itsel
108d40 66 20 69 73 20 72 69 67 6f 72 6f 75 73 2c 20 74 68 65 20 70 72 65 63 65 73 73 69 6f 6e 0a 20 20 f.is.rigorous,.the.precession...
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10f440 6f 66 0a 65 70 6f 63 68 20 4a 32 30 30 30 2e 20 20 54 68 65 20 6f 72 62 69 74 61 6c 20 65 6c 65 of.epoch.J2000...The.orbital.ele
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10f480 74 6f 0a 74 68 65 20 4a 32 30 30 30 20 65 63 6c 69 70 74 69 63 20 61 6e 64 20 6d 65 61 6e 20 65 to.the.J2000.ecliptic.and.mean.e
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10fbe0 28 54 54 20 4d 4a 44 29 0a 09 09 20 4f 52 42 49 4e 43 20 09 09 20 3d 20 09 09 20 69 6e 63 6c 69 (TT.MJD)....ORBINC....=....incli
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10ffe0 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 31 20 09 09 20 26 6e 62 73 70 bsp;&nbsp;&nbsp;&nbsp;1....&nbsp
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110ce0 45 2e 2c 20 3c 49 3e 41 6e 20 49 6e 74 72 6f 64 75 63 74 69 6f 6e 20 74 6f 20 43 65 6c 65 73 74 E.,.<I>An.Introduction.to.Celest
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1114a0 20 55 6e 69 76 65 72 73 69 74 79 20 6f 66 20 4c 65 65 64 73 0a 2a 20 72 65 76 69 73 65 64 20 61 .University.of.Leeds.*.revised.a
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111aa0 20 48 52 45 46 3d 22 6e 6f 64 65 31 35 36 2e 68 74 6d 6c 22 3e 53 4c 41 5f 50 56 32 45 4c 20 2d .HREF="node156.html">SLA_PV2EL.-
111ac0 20 4f 72 62 69 74 61 6c 20 45 6c 65 6d 65 6e 74 73 20 66 72 6f 6d 20 50 6f 73 69 74 69 6f 6e 2f .Orbital.Elements.from.Position/
111ae0 56 65 6c 6f 63 69 74 79 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 3c 50 3e 0a 3c 50 3e 3c 21 Velocity</A>.<BR>.<HR>.<P>.<P><!
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111be0 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 43 6f 6e 73 74 72 75 63 74 20 >ACTION:</STRONG>.<DD>Construct.
111c00 61 20 75 6e 69 76 65 72 73 61 6c 20 65 6c 65 6d 65 6e 74 20 73 65 74 20 62 61 73 65 64 20 6f 6e a.universal.element.set.based.on
111c20 20 61 6e 20 69 6e 73 74 61 6e 74 61 6e 65 6f 75 73 0a 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 .an.instantaneous.position.and.v
111c40 65 6c 6f 63 69 74 79 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c elocity..<P>....<DT><STRONG>CALL
111c60 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 50 56 32 55 :</STRONG>.<DD><TT>CALL.sla_PV2U
111c80 45 20 28 50 56 2c 20 44 41 54 45 2c 20 50 4d 41 53 53 2c 20 55 2c 20 4a 53 54 41 54 29 3c 2f 54 E.(PV,.DATE,.PMASS,.U,.JSTAT)</T
111ca0 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a T>.<P>.......</DL>.<P>.....<DL>.
111cc0 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e <DT><STRONG>GIVEN:</STRONG>.<DD>
111ce0 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 .<BR>.<TABLE.CELLPADDING=3>.<TR.
111d00 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 VALIGN="TOP"><TD.ALIGN="LEFT"><E
111d20 4d 3e 50 56 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e M>PV</EM></TD>.<TH.ALIGN="LEFT">
111d40 3c 42 3e 44 28 36 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <B>D(6)</B></TH>.<TD.ALIGN="LEFT
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111d80 3d 22 31 30 36 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 ="106".HEIGHT="29".ALIGN="MIDDLE
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111dc0 4c 54 3d 22 24 5b 5c 2c 78 2c 79 2c 7a 2c 5c 64 6f 74 7b 78 7d 2c 5c 64 6f 74 7b 79 7d 2c 5c 64 LT="$[\,x,y,z,\dot{x},\dot{y},\d
111de0 6f 74 7b 7a 7d 5c 2c 5d 24 22 3e 2c 20 65 71 75 61 74 6f 72 69 61 6c 2c 20 4a 32 30 30 30 3c 2f ot{z}\,]$">,.equatorial,.J2000</
111e00 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
111e20 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 LIGN="LEFT"><EM></EM></TD>.<TD.A
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111ea0 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 41 54 45 ="TOP"><TD.ALIGN="LEFT"><EM>DATE
111ec0 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 </EM></TD>.<TD.ALIGN="LEFT"><B>D
111ee0 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 </B></TD>.<TD.ALIGN="LEFT".NOWRA
111f00 50 3e 64 61 74 65 20 28 54 54 20 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 20 P>date.(TT.Modified.Julian.Date.
111f20 3d 20 4a 44 2d 32 34 30 30 30 30 30 2e 35 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 =.JD-2400000.5)</TD>.</TR>.<TR.V
111f40 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
111f60 3e 50 4d 41 53 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 >PMASS</EM></TD>.<TD.ALIGN="LEFT
111f80 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 "><B>D</B></TD>.<TD.ALIGN="LEFT"
111fa0 20 4e 4f 57 52 41 50 3e 6d 61 73 73 20 6f 66 20 74 68 65 20 70 6c 61 6e 65 74 20 28 53 75 6e 20 .NOWRAP>mass.of.the.planet.(Sun.
111fc0 3d 20 31 3b 20 4e 6f 74 65 26 6e 62 73 70 3b 32 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 =.1;.Note&nbsp;2)</TD>.</TR>.</T
111fe0 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 ABLE></DL>.<P>.....<DL>.<DT><STR
112000 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e ONG>RETURNED:</STRONG>.<DD>.<BR>
112020 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 .<TABLE.CELLPADDING=3>.<TR.VALIG
112040 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 55 3c 2f N="TOP"><TD.ALIGN="LEFT"><EM>U</
112060 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 31 EM></TD>.<TH.ALIGN="LEFT"><B>D(1
112080 33 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 3)</B></TH>.<TD.ALIGN="LEFT".NOW
1120a0 52 41 50 3e 75 6e 69 76 65 72 73 61 6c 20 6f 72 62 69 74 61 6c 20 65 6c 65 6d 65 6e 74 73 20 28 RAP>universal.orbital.elements.(
1120c0 4e 6f 74 65 26 6e 62 73 70 3b 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 Note&nbsp;3)</TD>.</TR>.<TR.VALI
1120e0 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 GN="TOP"><TD.ALIGN="CENTER".NOWR
112100 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a AP.COLSPAN=1>(1)</TD>.<TD></TD>.
112120 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 63 6f 6d 62 69 6e 65 64 <TD.ALIGN="LEFT".NOWRAP>combined
112140 20 6d 61 73 73 20 28 3c 49 3e 4d 3c 2f 49 3e 2b 3c 49 3e 6d 3c 2f 49 3e 29 3c 2f 54 44 3e 0a 3c .mass.(<I>M</I>+<I>m</I>)</TD>.<
112160 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d /TR>.<TR.VALIGN="TOP"><TD.ALIGN=
112180 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 32 29 3c 2f 54 "CENTER".NOWRAP.COLSPAN=1>(2)</T
1121a0 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f D>.<TD></TD>.<TD.ALIGN="LEFT".NO
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112320 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f D>.<TD></TD>.<TD.ALIGN="LEFT".NO
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112400 3d 31 3e 28 37 2d 39 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 =1>(7-9)</TD>.<TD></TD>.<TD.ALIG
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112500 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 68 65 6c 69 6f 63 >.<TD.ALIGN="LEFT".NOWRAP>helioc
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112620 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 >.</TR>.<TR.VALIGN="TOP"><TD.ALI
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112660 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 )</TD>.<TD></TD>.<TD.ALIGN="LEFT
112680 22 20 4e 4f 57 52 41 50 3e 64 61 74 65 20 28 3c 49 3e 74 3c 2f 49 3e 29 3c 2f 54 44 3e 0a 3c 2f ".NOWRAP>date.(<I>t</I>)</TD>.</
1126a0 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
1126c0 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 33 29 3c 2f 54 CENTER".NOWRAP.COLSPAN=1>(13)</T
1126e0 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f D>.<TD></TD>.<TD.ALIGN="LEFT".NO
112700 57 52 41 50 3e 75 6e 69 76 65 72 73 61 6c 20 65 63 63 65 6e 74 72 69 63 20 61 6e 6f 6d 61 6c 79 WRAP>universal.eccentric.anomaly
112720 20 28 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 34 22 20 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c .(<IMG.WIDTH="14".HEIGHT="27".AL
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112780 65 2c 20 61 70 70 72 6f 78 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d e,.approx</TD>.</TR>.<TR.VALIGN=
1127a0 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4a 53 54 41 54 "TOP"><TD.ALIGN="LEFT"><EM>JSTAT
1127c0 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 </EM></TD>.<TD.ALIGN="LEFT"><B>I
1127e0 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 </B></TD>.<TD.ALIGN="LEFT".NOWRA
112800 50 3e 73 74 61 74 75 73 3a 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d P>status:</TD>.</TR>.<TR.VALIGN=
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112840 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f </TD>.<TD.ALIGN="LEFT"><B></B></
112860 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 20 TD>.<TD.ALIGN="LEFT".NOWRAP>....
112880 20 20 20 30 20 3d 20 4f 4b 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d ...0.=.OK</TD>.</TR>.<TR.VALIGN=
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1128c0 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f </TD>.<TD.ALIGN="LEFT"><B></B></
1128e0 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 20 TD>.<TD.ALIGN="LEFT".NOWRAP>....
112900 20 2d 31 20 3d 20 69 6c 6c 65 67 61 6c 20 50 4d 41 53 53 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c .-1.=.illegal.PMASS</TD>.</TR>.<
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112940 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 ><EM></EM></TD>.<TD.ALIGN="LEFT"
112960 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e ><B></B></TD>.<TD.ALIGN="LEFT".N
112980 4f 57 52 41 50 3e 20 20 20 20 20 2d 32 20 3d 20 74 6f 6f 20 63 6c 6f 73 65 20 74 6f 20 53 75 6e OWRAP>.....-2.=.too.close.to.Sun
1129a0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
1129c0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 .ALIGN="LEFT"><EM></EM></TD>.<TD
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112a00 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 20 20 2d 33 20 3d 20 74 6f 6f LIGN="LEFT".NOWRAP>.....-3.=.too
112a20 20 73 6c 6f 77 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c .slow</TD>.</TR>.</TABLE></DL>.<
112a40 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c P>......<DL>.<DT><STRONG>NOTES:<
112a60 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e /STRONG>.<DD><DL.COMPACT>.<DT>1.
112a80 0a 3c 44 44 3e 54 68 65 20 50 56 20 36 2d 76 65 63 74 6f 72 20 63 61 6e 20 62 65 20 77 69 74 68 .<DD>The.PV.6-vector.can.be.with
112aa0 20 72 65 73 70 65 63 74 20 74 6f 20 61 6e 79 20 63 68 6f 73 65 6e 20 69 6e 65 72 74 69 61 6c 20 .respect.to.any.chosen.inertial.
112ac0 66 72 61 6d 65 2c 0a 61 6e 64 20 74 68 65 20 72 65 73 75 6c 74 69 6e 67 20 75 6e 69 76 65 72 73 frame,.and.the.resulting.univers
112ae0 61 6c 2d 65 6c 65 6d 65 6e 74 20 73 65 74 20 77 69 6c 6c 20 62 65 20 77 69 74 68 20 72 65 73 70 al-element.set.will.be.with.resp
112b00 65 63 74 20 74 6f 0a 74 68 65 20 73 61 6d 65 20 66 72 61 6d 65 2e 20 20 41 20 63 6f 6d 6d 6f 6e ect.to.the.same.frame...A.common
112b20 20 63 68 6f 69 63 65 20 77 69 6c 6c 20 62 65 20 6d 65 61 6e 20 65 71 75 61 74 6f 72 20 61 6e 64 .choice.will.be.mean.equator.and
112b40 20 65 63 6c 69 70 74 69 63 0a 20 20 20 20 20 20 20 20 6f 66 20 65 70 6f 63 68 20 4a 32 30 30 30 .ecliptic.........of.epoch.J2000
112b60 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 6d 61 73 73 2c 20 50 4d 41 53 53 2c 20 ....<DT>2..<DD>The.mass,.PMASS,.
112b80 69 73 20 69 6d 70 6f 72 74 61 6e 74 20 6f 6e 6c 79 20 66 6f 72 20 74 68 65 20 6c 61 72 67 65 72 is.important.only.for.the.larger
112ba0 20 70 6c 61 6e 65 74 73 2e 20 20 46 6f 72 0a 20 20 20 20 20 20 20 20 6d 6f 73 74 20 70 75 72 70 .planets...For.........most.purp
112bc0 6f 73 65 73 20 28 3c 49 3e 65 2e 67 2e 3c 2f 49 3e 26 6e 62 73 70 3b 61 73 74 65 72 6f 69 64 73 oses.(<I>e.g.</I>&nbsp;asteroids
112be0 29 20 75 73 65 20 30 44 30 2e 20 20 56 61 6c 75 65 73 20 6c 65 73 73 20 74 68 61 6e 20 7a 65 72 ).use.0D0...Values.less.than.zer
112c00 6f 0a 20 20 20 20 20 20 20 20 61 72 65 20 69 6c 6c 65 67 61 6c 2e 0a 20 20 3c 44 54 3e 33 2e 0a o.........are.illegal....<DT>3..
112c20 3c 44 44 3e 54 68 65 20 60 60 75 6e 69 76 65 72 73 61 6c 27 27 20 65 6c 65 6d 65 6e 74 73 20 61 <DD>The.``universal''.elements.a
112c40 72 65 20 74 68 6f 73 65 20 77 68 69 63 68 20 64 65 66 69 6e 65 20 74 68 65 20 6f 72 62 69 74 20 re.those.which.define.the.orbit.
112c60 66 6f 72 20 74 68 65 0a 20 20 20 20 20 20 20 20 70 75 72 70 6f 73 65 73 20 6f 66 20 74 68 65 20 for.the.........purposes.of.the.
112c80 6d 65 74 68 6f 64 20 6f 66 20 75 6e 69 76 65 72 73 61 6c 20 76 61 72 69 61 62 6c 65 73 20 28 73 method.of.universal.variables.(s
112ca0 65 65 20 72 65 66 65 72 65 6e 63 65 29 2e 0a 20 20 20 20 20 20 20 20 54 68 65 79 20 63 6f 6e 73 ee.reference)..........They.cons
112cc0 69 73 74 20 6f 66 20 74 68 65 20 63 6f 6d 62 69 6e 65 64 20 6d 61 73 73 20 6f 66 20 74 68 65 20 ist.of.the.combined.mass.of.the.
112ce0 74 77 6f 20 62 6f 64 69 65 73 2c 20 61 6e 20 65 70 6f 63 68 2c 0a 20 20 20 20 20 20 20 20 61 6e two.bodies,.an.epoch,.........an
112d00 64 20 74 68 65 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 76 65 63 74 d.the.position.and.velocity.vect
112d20 6f 72 73 20 28 61 72 62 69 74 72 61 72 79 20 72 65 66 65 72 65 6e 63 65 20 66 72 61 6d 65 29 0a ors.(arbitrary.reference.frame).
112d40 20 20 20 20 20 20 20 20 61 74 20 74 68 61 74 20 65 70 6f 63 68 2e 20 20 54 68 65 20 70 61 72 61 ........at.that.epoch...The.para
112d60 6d 65 74 65 72 20 73 65 74 20 75 73 65 64 20 68 65 72 65 20 69 6e 63 6c 75 64 65 73 20 61 6c 73 meter.set.used.here.includes.als
112d80 6f 20 76 61 72 69 6f 75 73 0a 20 20 20 20 20 20 20 20 71 75 61 6e 74 69 74 69 65 73 20 74 68 61 o.various.........quantities.tha
112da0 74 20 63 61 6e 2c 20 69 6e 20 66 61 63 74 2c 20 62 65 20 64 65 72 69 76 65 64 20 66 72 6f 6d 20 t.can,.in.fact,.be.derived.from.
112dc0 74 68 65 20 6f 74 68 65 72 0a 20 20 20 20 20 20 20 20 69 6e 66 6f 72 6d 61 74 69 6f 6e 2e 20 20 the.other.........information...
112de0 54 68 69 73 20 61 70 70 72 6f 61 63 68 20 69 73 20 74 61 6b 65 6e 20 74 6f 20 61 76 6f 69 64 69 This.approach.is.taken.to.avoidi
112e00 6e 67 20 75 6e 6e 65 63 65 73 73 61 72 79 0a 20 20 20 20 20 20 20 20 63 6f 6d 70 75 74 61 74 69 ng.unnecessary.........computati
112e20 6f 6e 20 61 6e 64 20 6c 6f 73 73 20 6f 66 20 61 63 63 75 72 61 63 79 2e 20 20 54 68 65 20 73 75 on.and.loss.of.accuracy...The.su
112e40 70 70 6c 65 6d 65 6e 74 61 72 79 20 71 75 61 6e 74 69 74 69 65 73 0a 20 20 20 20 20 20 20 20 61 pplementary.quantities.........a
112e60 72 65 20 28 69 29 26 6e 62 73 70 3b 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 re.(i)&nbsp;<IMG.WIDTH="13".HEIG
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112ec0 24 22 3e 2c 20 77 68 69 63 68 20 69 73 20 70 72 6f 70 6f 72 74 69 6f 6e 61 6c 20 74 6f 20 74 68 $">,.which.is.proportional.to.th
112ee0 65 20 74 6f 74 61 6c 20 65 6e 65 72 67 79 20 6f 66 20 74 68 65 0a 20 20 20 20 20 20 20 20 6f 72 e.total.energy.of.the.........or
112f00 62 69 74 2c 20 28 69 69 29 26 6e 62 73 70 3b 74 68 65 20 68 65 6c 69 6f 63 65 6e 74 72 69 63 20 bit,.(ii)&nbsp;the.heliocentric.
112f20 64 69 73 74 61 6e 63 65 20 61 74 20 65 70 6f 63 68 2c 0a 20 20 20 20 20 20 20 20 28 69 69 69 29 distance.at.epoch,.........(iii)
112f40 26 6e 62 73 70 3b 74 68 65 20 6f 75 74 77 61 72 64 73 20 63 6f 6d 70 6f 6e 65 6e 74 20 6f 66 20 &nbsp;the.outwards.component.of.
112f60 74 68 65 20 76 65 6c 6f 63 69 74 79 20 61 74 20 74 68 65 20 67 69 76 65 6e 20 65 70 6f 63 68 2c the.velocity.at.the.given.epoch,
112f80 0a 20 20 20 20 20 20 20 20 28 69 76 29 26 6e 62 73 70 3b 61 6e 20 65 73 74 69 6d 61 74 65 20 6f .........(iv)&nbsp;an.estimate.o
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113000 75 6e 69 76 65 72 73 61 6c 20 65 63 63 65 6e 74 72 69 63 20 61 6e 6f 6d 61 6c 79 27 27 20 61 74 universal.eccentric.anomaly''.at
113020 20 61 0a 20 20 20 20 20 20 20 20 67 69 76 65 6e 20 64 61 74 65 20 61 6e 64 20 28 76 29 26 6e 62 .a.........given.date.and.(v)&nb
113040 73 70 3b 74 68 61 74 20 64 61 74 65 2e 0a 20 3c 2f 44 4c 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 sp;that.date...</DL></DL>.<P>...
113060 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 46 45 52 45 4e 43 45 3a 3c 2f 53 ..<DL>.<DT><STRONG>REFERENCE:</S
113080 54 52 4f 4e 47 3e 0a 3c 44 44 3e 45 76 65 72 68 61 72 74 2c 20 45 2e 20 26 61 6d 70 3b 20 50 69 TRONG>.<DD>Everhart,.E..&amp;.Pi
1130a0 74 6b 69 6e 2c 20 45 2e 54 2e 2c 20 41 6d 2e 26 6e 62 73 70 3b 4a 2e 26 6e 62 73 70 3b 50 68 79 tkin,.E.T.,.Am.&nbsp;J.&nbsp;Phy
1130c0 73 2e 26 6e 62 73 70 3b 35 31 2c 20 37 31 32 2c 20 31 39 38 33 2e 0a 3c 2f 44 4c 3e 0a 3c 42 52 s.&nbsp;51,.712,.1983..</DL>.<BR
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115460 6f 64 75 63 65 64 20 62 79 20 73 6c 61 5f 46 49 54 58 59 29 2c 20 63 6f 6d 70 75 74 65 0a 20 20 oduced.by.sla_FITXY),.compute...
115480 20 20 20 20 20 20 20 74 68 65 20 61 72 72 61 79 20 6f 66 20 3c 49 3e 70 72 65 64 69 63 74 65 64 .......the.array.of.<I>predicted
1154a0 3c 2f 49 3e 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 61 6e 64 20 74 68 65 20 52 4d 53 20 72 65 73 </I>.coordinates.and.the.RMS.res
1154c0 69 64 75 61 6c 73 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a iduals..<P>....<DT><STRONG>CALL:
1154e0 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 50 58 59 20 28 </STRONG>.<DD><TT>CALL.sla_PXY.(
115500 4e 50 2c 58 59 45 2c 58 59 4d 2c 43 4f 45 46 46 53 2c 58 59 50 2c 58 52 4d 53 2c 59 52 4d 53 2c NP,XYE,XYM,COEFFS,XYP,XRMS,YRMS,
115520 52 52 4d 53 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 RRMS)</TT>.<P>.......</DL>.<P>..
115540 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f ...<DL>.<DT><STRONG>GIVEN:</STRO
115560 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 NG>.<DD>.<BR>.<TABLE.CELLPADDING
115580 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 =3>.<TR.VALIGN="TOP"><TD.ALIGN="
1155a0 4c 45 46 54 22 3e 3c 45 4d 3e 4e 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e LEFT"><EM>NP</EM></TD>.<TH.ALIGN
1155c0 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d ="LEFT"><B>I</B></TH>.<TD.ALIGN=
1155e0 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6e 75 6d 62 65 72 20 6f 66 20 73 61 6d 70 6c 65 73 3c "LEFT".NOWRAP>number.of.samples<
115600 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
115620 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 58 59 45 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c ALIGN="LEFT"><EM>XYE</EM></TD>.<
115640 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 32 2c 4e 50 29 3c 2f 42 3e 3c 2f TD.ALIGN="LEFT"><B>D(2,NP)</B></
115660 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 78 70 65 TD>.<TD.ALIGN="LEFT".NOWRAP>expe
115680 63 74 65 64 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 cted.<IMG.WIDTH="42".HEIGHT="29"
1156a0 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="MIDDLE".BORDER="0"..SRC=
1156c0 22 69 6d 67 32 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 5c 2c 5d 24 22 3e 20 "img20.gif"..ALT="$[\,x,y\,]$">.
1156e0 66 6f 72 20 65 61 63 68 20 73 61 6d 70 6c 65 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 for.each.sample</TD>.</TR>.<TR.V
115700 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
115720 3e 58 59 4d 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e >XYM</EM></TD>.<TD.ALIGN="LEFT">
115740 3c 42 3e 44 28 32 2c 4e 50 29 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c <B>D(2,NP)</B></TD>.<TD.ALIGN="L
115760 45 46 54 22 20 4e 4f 57 52 41 50 3e 6d 65 61 73 75 72 65 64 20 3c 49 4d 47 20 57 49 44 54 48 3d EFT".NOWRAP>measured.<IMG.WIDTH=
115780 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 "42".HEIGHT="29".ALIGN="MIDDLE".
1157a0 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 30 2e 67 69 66 22 0a 20 41 4c 54 BORDER="0"..SRC="img20.gif"..ALT
1157c0 3d 22 24 5b 5c 2c 78 2c 79 5c 2c 5d 24 22 3e 20 66 6f 72 20 65 61 63 68 20 73 61 6d 70 6c 65 3c ="$[\,x,y\,]$">.for.each.sample<
1157e0 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
115800 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 43 4f 45 46 46 53 3c 2f 45 4d 3e 3c 2f 54 44 ALIGN="LEFT"><EM>COEFFS</EM></TD
115820 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 36 29 3c 2f 42 3e 3c 2f >.<TD.ALIGN="LEFT"><B>D(6)</B></
115840 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 63 6f 65 66 TD>.<TD.ALIGN="LEFT".NOWRAP>coef
115860 66 69 63 69 65 6e 74 73 20 6f 66 20 6d 6f 64 65 6c 20 28 73 65 65 20 62 65 6c 6f 77 29 3c 2f 54 ficients.of.model.(see.below)</T
115880 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c D>.</TR>.</TABLE></DL>.<P>.....<
1158a0 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e DL>.<DT><STRONG>RETURNED:</STRON
1158c0 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d G>.<DD>.<BR>.<TABLE.CELLPADDING=
1158e0 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 3>.<TR.VALIGN="TOP"><TD.ALIGN="L
115900 45 46 54 22 3e 3c 45 4d 3e 58 59 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e EFT"><EM>XYP</EM></TD>.<TH.ALIGN
115920 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 32 2c 4e 50 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 ="LEFT"><B>D(2,NP)</B></TH>.<TD.
115940 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 72 65 64 69 63 74 65 64 20 3c 49 ALIGN="LEFT".NOWRAP>predicted.<I
115960 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d MG.WIDTH="42".HEIGHT="29".ALIGN=
115980 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 30 2e "MIDDLE".BORDER="0"..SRC="img20.
1159a0 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 5c 2c 5d 24 22 3e 20 66 6f 72 20 65 61 63 gif"..ALT="$[\,x,y\,]$">.for.eac
1159c0 68 20 73 61 6d 70 6c 65 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 h.sample</TD>.</TR>.<TR.VALIGN="
1159e0 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 58 52 4d 53 3c 2f TOP"><TD.ALIGN="LEFT"><EM>XRMS</
115a00 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f EM></TD>.<TD.ALIGN="LEFT"><B>D</
115a20 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TD>.<TD.ALIGN="LEFT".NOWRAP>
115a40 52 4d 53 20 69 6e 20 58 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 RMS.in.X</TD>.</TR>.<TR.VALIGN="
115a60 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 59 52 4d 53 3c 2f TOP"><TD.ALIGN="LEFT"><EM>YRMS</
115a80 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f EM></TD>.<TD.ALIGN="LEFT"><B>D</
115aa0 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TD>.<TD.ALIGN="LEFT".NOWRAP>
115ac0 52 4d 53 20 69 6e 20 59 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 RMS.in.Y</TD>.</TR>.<TR.VALIGN="
115ae0 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 52 4d 53 3c 2f TOP"><TD.ALIGN="LEFT"><EM>RRMS</
115b00 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 20 3c EM></TD>.<TD.ALIGN="LEFT"><B>D.<
115b20 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 /B></TD>.<TD.ALIGN="LEFT".NOWRAP
115b40 3e 74 6f 74 61 6c 20 52 4d 53 20 28 76 65 63 74 6f 72 20 73 75 6d 20 6f 66 20 58 52 4d 53 20 61 >total.RMS.(vector.sum.of.XRMS.a
115b60 6e 64 20 59 52 4d 53 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c nd.YRMS)</TD>.</TR>.</TABLE></DL
115b80 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 >.<P>......<DL>.<DT><STRONG>NOTE
115ba0 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 S:</STRONG>.<DD><DL.COMPACT>.<DT
115bc0 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 6d 6f 64 65 6c 20 69 73 20 73 75 70 70 6c 69 65 64 20 69 6e >1..<DD>The.model.is.supplied.in
115be0 20 74 68 65 20 61 72 72 61 79 20 43 4f 45 46 46 53 2e 20 20 4e 61 6d 69 6e 67 20 74 68 65 0a 73 .the.array.COEFFS...Naming.the.s
115c00 69 78 20 65 6c 65 6d 65 6e 74 73 20 6f 66 20 43 4f 45 46 46 53 20 3c 49 3e 61 3c 2f 49 3e 2c 3c ix.elements.of.COEFFS.<I>a</I>,<
115c20 49 3e 62 3c 2f 49 3e 2c 3c 49 3e 63 3c 2f 49 3e 2c 3c 49 3e 64 3c 2f 49 3e 2c 3c 49 3e 65 3c 2f I>b</I>,<I>c</I>,<I>d</I>,<I>e</
115c40 49 3e 20 26 61 6d 70 3b 20 3c 49 3e 66 3c 2f 49 3e 2c 0a 74 68 65 20 6d 6f 64 65 6c 20 74 72 61 I>.&amp;.<I>f</I>,.the.model.tra
115c60 6e 73 66 6f 72 6d 73 20 3c 49 3e 6d 65 61 73 75 72 65 64 3c 2f 49 3e 20 63 6f 6f 72 64 69 6e 61 nsforms.<I>measured</I>.coordina
115c80 74 65 73 0a 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 36 33 22 20 48 45 49 47 tes.........<IMG.WIDTH="63".HEIG
115ca0 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 HT="29".ALIGN="MIDDLE".BORDER="0
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115d00 2f 49 3e 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 /I>.coordinates.........<IMG.WID
115d20 54 48 3d 22 35 33 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c TH="53".HEIGHT="29".ALIGN="MIDDL
115d40 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 34 34 2e 67 69 66 22 0a E".BORDER="0"..SRC="img144.gif".
115d60 20 41 4c 54 3d 22 24 5b 78 5f 7b 70 7d 2c 79 5f 7b 70 7d 5c 2c 5d 24 22 3e 20 61 73 20 66 6f 6c .ALT="$[x_{p},y_{p}\,]$">.as.fol
115d80 6c 6f 77 73 3a 0a 20 20 20 20 20 20 20 20 3c 42 4c 4f 43 4b 51 55 4f 54 45 3e 3c 49 3e 78 3c 2f lows:.........<BLOCKQUOTE><I>x</
115da0 49 3e 3c 53 55 42 3e 3c 49 3e 70 3c 2f 49 3e 3c 2f 53 55 42 3e 20 3d 20 3c 49 3e 61 3c 2f 49 3e I><SUB><I>p</I></SUB>.=.<I>a</I>
115dc0 20 2b 20 3c 49 3e 62 78 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 6d 3c 2f 49 3e 3c 2f 53 55 42 3e 20 .+.<I>bx</I><SUB><I>m</I></SUB>.
115de0 2b 20 3c 49 3e 63 79 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 6d 3c 2f 49 3e 3c 2f 53 55 42 3e 20 3c +.<I>cy</I><SUB><I>m</I></SUB>.<
115e00 42 52 3e 0a 20 20 20 20 20 20 20 20 20 3c 49 3e 79 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 70 3c 2f BR>..........<I>y</I><SUB><I>p</
115e20 49 3e 3c 2f 53 55 42 3e 20 3d 20 3c 49 3e 64 3c 2f 49 3e 20 2b 20 3c 49 3e 65 78 3c 2f 49 3e 3c I></SUB>.=.<I>d</I>.+.<I>ex</I><
115e40 53 55 42 3e 3c 49 3e 6d 3c 2f 49 3e 3c 2f 53 55 42 3e 20 2b 20 3c 49 3e 66 79 3c 2f 49 3e 3c 53 SUB><I>m</I></SUB>.+.<I>fy</I><S
115e60 55 42 3e 3c 49 3e 6d 3c 2f 49 3e 3c 2f 53 55 42 3e 3c 2f 42 4c 4f 43 4b 51 55 4f 54 45 3e 0a 20 UB><I>m</I></SUB></BLOCKQUOTE>..
115e80 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 72 65 73 69 64 75 61 6c 73 20 61 72 65 20 28 3c .<DT>2..<DD>The.residuals.are.(<
115ea0 49 3e 78 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 70 3c 2f 49 3e 3c 2f 53 55 42 3e 2d 3c 49 3e 78 3c I>x</I><SUB><I>p</I></SUB>-<I>x<
115ec0 2f 49 3e 3c 53 55 42 3e 3c 49 3e 65 3c 2f 49 3e 3c 2f 53 55 42 3e 29 20 61 6e 64 20 28 3c 49 3e /I><SUB><I>e</I></SUB>).and.(<I>
115ee0 79 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 70 3c 2f 49 3e 3c 2f 53 55 42 3e 2d 3c 49 3e 79 3c 2f 49 y</I><SUB><I>p</I></SUB>-<I>y</I
115f00 3e 3c 53 55 42 3e 3c 49 3e 65 3c 2f 49 3e 3c 2f 53 55 42 3e 29 2e 0a 20 20 3c 44 54 3e 33 2e 0a ><SUB><I>e</I></SUB>)....<DT>3..
115f20 3c 44 44 3e 49 66 20 4e 50 20 69 73 20 6c 65 73 73 20 74 68 61 6e 20 6f 72 20 65 71 75 61 6c 20 <DD>If.NP.is.less.than.or.equal.
115f40 74 6f 20 7a 65 72 6f 2c 20 6e 6f 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 61 72 65 0a 20 20 20 20 to.zero,.no.coordinates.are.....
115f60 20 20 20 20 74 72 61 6e 73 66 6f 72 6d 65 64 2c 20 61 6e 64 20 74 68 65 20 52 4d 53 20 72 65 73 ....transformed,.and.the.RMS.res
115f80 69 64 75 61 6c 73 20 61 72 65 20 61 6c 6c 20 7a 65 72 6f 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 iduals.are.all.zero....<DT>4..<D
115fa0 44 3e 53 65 65 20 61 6c 73 6f 20 73 6c 61 5f 46 49 54 58 59 2c 20 73 6c 61 5f 49 4e 56 46 2c 20 D>See.also.sla_FITXY,.sla_INVF,.
115fc0 73 6c 61 5f 58 59 32 58 59 2c 20 73 6c 61 5f 44 43 4d 50 46 0a 20 3c 2f 44 4c 3e 3c 2f 44 4c 3e sla_XY2XY,.sla_DCMPF..</DL></DL>
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1161a0 6f 63 63 6f 6e 74 65 6e 74 73 22 3e 3c 49 4d 47 20 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 occontents"><IMG..ALIGN="BOTTOM"
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1162a0 3c 42 52 3e 0a 3c 42 3e 20 50 72 65 76 69 6f 75 73 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 <BR>.<B>.Previous:</B>.<A.NAME="
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1162e0 22 3e 53 4c 41 5f 50 56 4f 42 53 20 2d 20 4f 62 73 65 72 76 61 74 6f 72 79 20 50 6f 73 69 74 69 ">SLA_PVOBS.-.Observatory.Positi
116300 6f 6e 20 26 61 6d 70 3b 20 56 65 6c 6f 63 69 74 79 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 on.&amp;.Velocity</A>.<BR>.<HR>.
116320 3c 50 3e 0a 3c 50 3e 3c 21 2d 2d 45 6e 64 20 6f 66 20 4e 61 76 69 67 61 74 69 6f 6e 20 50 61 6e <P>.<P><!--End.of.Navigation.Pan
116340 65 6c 2d 2d 3e 0a 3c 41 44 44 52 45 53 53 3e 0a 3c 49 3e 53 4c 41 4c 49 42 20 2d 2d 2d 20 50 6f el-->.<ADDRESS>.<I>SLALIB.---.Po
116360 73 69 74 69 6f 6e 61 6c 20 41 73 74 72 6f 6e 6f 6d 79 20 4c 69 62 72 61 72 79 3c 42 52 3e 53 74 sitional.Astronomy.Library<BR>St
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116ba0 3e 53 4c 41 5f 41 4c 54 41 5a 20 2d 20 56 65 6c 6f 63 69 74 69 65 73 20 65 74 63 2e 20 66 6f 72 >SLA_ALTAZ.-.Velocities.etc..for
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116d00 41 49 52 4d 41 53 20 2d 20 41 69 72 20 4d 61 73 73 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 AIRMAS.-.Air.Mass</A>.<A.NAME="x
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116d60 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c .......<DL>.<DT><STRONG>ACTION:<
116d80 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 41 69 72 20 6d 61 73 73 20 61 74 20 67 69 76 65 6e 20 7a /STRONG>.<DD>Air.mass.at.given.z
116da0 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 28 64 6f 75 62 6c 65 20 70 72 65 63 69 73 69 6f 6e enith.distance.(double.precision
116dc0 29 2e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 )..<DT><STRONG>CALL:</STRONG>.<D
116de0 44 3e 3c 54 54 3e 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 41 49 52 4d 41 53 20 28 D><TT>D&nbsp;=&nbsp;sla_AIRMAS.(
116e00 5a 44 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 ZD)</TT>.<P>.......</DL>.<P>....
116e20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 .<DL>.<DT><STRONG>GIVEN:</STRONG
116e40 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 >.<DD>.<BR>.<TABLE.CELLPADDING=3
116e60 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
116e80 46 54 22 3e 3c 45 4d 3e 5a 44 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 FT"><EM>ZD</EM></TD>.<TH.ALIGN="
116ea0 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c LEFT"><B>D</B></TH>.<TD.ALIGN="L
116ec0 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 64 20 7a 65 6e 69 74 68 20 64 69 73 74 EFT".NOWRAP>observed.zenith.dist
116ee0 61 6e 63 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c ance.(radians)</TD>.</TR>.</TABL
116f00 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 E></DL>.<P>.....<DL>.<DT><STRONG
116f20 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 >RETURNED:</STRONG>.<DD>.<BR>.<T
116f40 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 ABLE.CELLPADDING=3>.<TR.VALIGN="
116f60 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 73 6c 61 5f 41 49 TOP"><TD.ALIGN="LEFT"><EM>sla_AI
116f80 52 4d 41 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e RMAS</EM></TD>.<TH.ALIGN="LEFT">
116fa0 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e <B>D</B></TH>.<TD.ALIGN="LEFT".N
116fc0 4f 57 52 41 50 3e 61 69 72 20 6d 61 73 73 20 28 31 20 61 74 20 7a 65 6e 69 74 68 29 3c 2f 54 44 OWRAP>air.mass.(1.at.zenith)</TD
116fe0 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c >.</TR>.</TABLE></DL>.<P>......<
117000 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a DL>.<DT><STRONG>NOTES:</STRONG>.
117020 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 <DD><DL.COMPACT>.<DT>1..<DD>The.
117040 3c 49 3e 6f 62 73 65 72 76 65 64 3c 2f 49 3e 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 <I>observed</I>.zenith.distance.
117060 72 65 66 65 72 72 65 64 20 74 6f 20 61 62 6f 76 65 20 6d 65 61 6e 73 0a 60 60 61 73 20 61 66 66 referred.to.above.means.``as.aff
117080 65 63 74 65 64 20 62 79 20 72 65 66 72 61 63 74 69 6f 6e 27 27 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 ected.by.refraction''..<DT>2..<D
1170a0 44 3e 54 68 65 20 72 6f 75 74 69 6e 65 20 75 73 65 73 20 48 61 72 64 69 65 27 73 20 28 31 39 36 D>The.routine.uses.Hardie's.(196
1170c0 32 29 20 70 6f 6c 79 6e 6f 6d 69 61 6c 20 66 69 74 20 74 6f 20 42 65 6d 70 6f 72 61 64 27 73 0a 2).polynomial.fit.to.Bemporad's.
1170e0 20 20 20 20 20 20 20 20 64 61 74 61 20 66 6f 72 20 74 68 65 20 72 65 6c 61 74 69 76 65 20 61 69 ........data.for.the.relative.ai
117100 72 20 6d 61 73 73 2c 20 3c 49 3e 58 3c 2f 49 3e 2c 20 69 6e 20 75 6e 69 74 73 20 6f 66 20 74 68 r.mass,.<I>X</I>,.in.units.of.th
117120 69 63 6b 6e 65 73 73 20 61 74 20 74 68 65 0a 20 20 20 20 20 20 20 20 7a 65 6e 69 74 68 20 61 73 ickness.at.the.........zenith.as
117140 20 74 61 62 75 6c 61 74 65 64 20 62 79 20 53 63 68 6f 65 6e 62 65 72 67 20 28 31 39 32 39 29 2e .tabulated.by.Schoenberg.(1929).
117160 20 54 68 69 73 20 69 73 20 61 64 65 71 75 61 74 65 20 66 6f 72 20 61 6c 6c 0a 20 20 20 20 20 20 .This.is.adequate.for.all.......
117180 20 20 6e 6f 72 6d 61 6c 20 6e 65 65 64 73 20 61 73 20 69 74 20 69 73 20 61 63 63 75 72 61 74 65 ..normal.needs.as.it.is.accurate
1171a0 20 74 6f 20 62 65 74 74 65 72 20 74 68 61 6e 0a 20 20 20 20 20 20 20 20 30 2e 31 25 20 75 70 20 .to.better.than.........0.1%.up.
1171c0 74 6f 20 3c 49 3e 58 3c 2f 49 3e 20 3d 20 36 2e 38 20 61 6e 64 20 62 65 74 74 65 72 20 74 68 61 to.<I>X</I>.=.6.8.and.better.tha
1171e0 6e 20 31 25 20 75 70 20 74 6f 20 3c 49 3e 58 3c 2f 49 3e 20 3d 20 31 30 2e 0a 20 20 20 20 20 20 n.1%.up.to.<I>X</I>.=.10........
117200 20 20 42 65 6d 70 6f 72 61 64 27 73 20 74 61 62 75 6c 61 74 65 64 20 76 61 6c 75 65 73 20 61 72 ..Bemporad's.tabulated.values.ar
117220 65 20 75 6e 6c 69 6b 65 6c 79 20 74 6f 20 62 65 20 74 72 75 73 74 77 6f 72 74 68 79 0a 20 20 20 e.unlikely.to.be.trustworthy....
117240 20 20 20 20 20 74 6f 20 73 75 63 68 20 61 63 63 75 72 61 63 79 0a 20 20 20 20 20 20 20 20 62 65 .....to.such.accuracy.........be
117260 63 61 75 73 65 20 6f 66 20 76 61 72 69 61 74 69 6f 6e 73 20 69 6e 20 64 65 6e 73 69 74 79 2c 20 cause.of.variations.in.density,.
117280 70 72 65 73 73 75 72 65 20 61 6e 64 20 6f 74 68 65 72 0a 20 20 20 20 20 20 20 20 63 6f 6e 64 69 pressure.and.other.........condi
1172a0 74 69 6f 6e 73 20 69 6e 20 74 68 65 20 61 74 6d 6f 73 70 68 65 72 65 20 66 72 6f 6d 20 74 68 6f tions.in.the.atmosphere.from.tho
1172c0 73 65 20 61 73 73 75 6d 65 64 20 69 6e 20 68 69 73 20 77 6f 72 6b 2e 0a 20 20 3c 44 54 3e 33 2e se.assumed.in.his.work....<DT>3.
1172e0 0a 3c 44 44 3e 54 68 65 20 73 69 67 6e 20 6f 66 20 74 68 65 20 5a 44 20 69 73 20 69 67 6e 6f 72 .<DD>The.sign.of.the.ZD.is.ignor
117300 65 64 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 41 74 20 7a 65 6e 69 74 68 20 64 69 73 74 61 ed....<DT>4..<DD>At.zenith.dista
117320 6e 63 65 73 20 67 72 65 61 74 65 72 20 74 68 61 6e 20 61 62 6f 75 74 20 3c 49 4d 47 20 57 49 44 nces.greater.than.about.<IMG.WID
117340 54 48 3d 22 35 36 22 20 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c TH="56".HEIGHT="27".ALIGN="MIDDL
117360 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 38 2e 67 69 66 22 0a 20 41 E".BORDER="0"..SRC="img8.gif"..A
117380 4c 54 3d 22 24 5c 7a 65 74 61 20 3d 20 38 37 5e 7b 5c 63 69 72 63 7d 24 22 3e 20 74 68 65 0a 20 LT="$\zeta.=.87^{\circ}$">.the..
1173a0 20 20 20 20 20 20 20 61 69 72 20 6d 61 73 73 20 69 73 20 68 65 6c 64 20 63 6f 6e 73 74 61 6e 74 .......air.mass.is.held.constant
1173c0 20 74 6f 20 61 76 6f 69 64 20 61 72 69 74 68 6d 65 74 69 63 20 6f 76 65 72 66 6c 6f 77 73 2e 0a .to.avoid.arithmetic.overflows..
1173e0 20 3c 2f 44 4c 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 .</DL></DL>.<P>.....<DL>.<DT><ST
117400 52 4f 4e 47 3e 52 45 46 45 52 45 4e 43 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 RONG>REFERENCES:</STRONG>.<DD><D
117420 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 48 61 72 64 69 65 2c 20 52 2e L.COMPACT>.<DT>1..<DD>Hardie,.R.
117440 48 2e 2c 20 31 39 36 32 2c 20 69 6e 20 3c 49 3e 41 73 74 72 6f 6e 6f 6d 69 63 61 6c 20 54 65 63 H.,.1962,.in.<I>Astronomical.Tec
117460 68 6e 69 71 75 65 73 3c 2f 49 3e 0a 65 64 2e 20 57 2e 41 2e 20 48 69 6c 74 6e 65 72 2c 20 55 6e hniques</I>.ed..W.A..Hiltner,.Un
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117b00 00 75 73 74 61 72 00 30 30 70 74 77 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .ustar.00ptw....................
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117b40 00 00 00 00 00 00 00 00 00 30 30 30 30 30 34 20 00 35 37 37 30 32 34 20 00 00 00 00 00 00 00 00 .........000004..577024.........
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118180 4e 65 78 74 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 30 32 37 22 Next:</B>.<A.NAME="tex2html2027"
1181a0 20 48 52 45 46 3d 22 6e 6f 64 65 31 36 31 2e 68 74 6d 6c 22 3e 53 4c 41 5f 52 41 4e 47 45 20 2d .HREF="node161.html">SLA_RANGE.-
1181c0 20 50 75 74 20 41 6e 67 6c 65 20 69 6e 74 6f 20 52 61 6e 67 65 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c .Put.Angle.into.Range</A>.<BR>.<
1181e0 42 3e 55 70 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 30 32 35 22 B>Up:</B>.<A.NAME="tex2html2025"
118200 20 48 52 45 46 3d 22 6e 6f 64 65 31 33 2e 68 74 6d 6c 22 3e 53 55 42 50 52 4f 47 52 41 4d 20 53 .HREF="node13.html">SUBPROGRAM.S
118220 50 45 43 49 46 49 43 41 54 49 4f 4e 53 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e 20 50 72 65 76 69 PECIFICATIONS</A>.<BR>.<B>.Previ
118240 6f 75 73 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 30 31 39 22 20 ous:</B>.<A.NAME="tex2html2019".
118260 48 52 45 46 3d 22 6e 6f 64 65 31 35 39 2e 68 74 6d 6c 22 3e 53 4c 41 5f 50 58 59 20 2d 20 41 70 HREF="node159.html">SLA_PXY.-.Ap
118280 70 6c 79 20 4c 69 6e 65 61 72 20 4d 6f 64 65 6c 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 3c ply.Linear.Model</A>.<BR>.<HR>.<
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118300 6e 64 6f 6d 20 4e 75 6d 62 65 72 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 65 66 5f 53 4c ndom.Number</A>.<A.NAME="xref_SL
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118360 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e .<DL>.<DT><STRONG>ACTION:</STRON
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118440 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 41 4e 44 4f 4d 20 28 53 45 45 44 29 3c 2f 54 54 3e 0a 3c 50 =&nbsp;sla_RANDOM.(SEED)</TT>.<P
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1184a0 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 .<TABLE.CELLPADDING=3>.<TR.VALIG
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11b920 20 43 6f 6f 72 64 69 6e 61 74 65 20 54 69 6d 65 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 .Coordinate.Time</A>.<A.NAME="xr
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11b980 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a <DL>.<DT><STRONG>CALL:</STRONG>.
11b9a0 3c 44 44 3e 3c 54 54 3e 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 43 43 20 28 54 <DD><TT>D&nbsp;=&nbsp;sla_RCC.(T
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11b9e0 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 54 68 65 20 72 65 6c ONG>ACTION:</STRONG>.<DD>The.rel
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11ba20 54 2c 20 74 68 65 0a 20 20 20 20 20 20 20 20 20 64 69 66 66 65 72 65 6e 63 65 20 62 65 74 77 65 T,.the..........difference.betwe
11ba40 65 6e 20 3c 49 3e 70 72 6f 70 65 72 20 74 69 6d 65 3c 2f 49 3e 0a 20 20 20 20 20 20 20 20 20 6f en.<I>proper.time</I>..........o
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11ba80 49 3e 20 69 6e 20 74 68 65 20 73 6f 6c 61 72 20 73 79 73 74 65 6d 20 62 61 72 79 63 65 6e 74 72 I>.in.the.solar.system.barycentr
11baa0 69 63 0a 20 20 20 20 20 20 20 20 20 73 70 61 63 65 2d 74 69 6d 65 20 66 72 61 6d 65 20 6f 66 20 ic..........space-time.frame.of.
11bac0 72 65 66 65 72 65 6e 63 65 2e 20 20 54 68 65 20 70 72 6f 70 65 72 20 74 69 6d 65 20 69 73 20 54 reference...The.proper.time.is.T
11bae0 54 3b 20 20 74 68 65 0a 20 20 20 20 20 20 20 20 20 63 6f 6f 72 64 69 6e 61 74 65 20 74 69 6d 65 T;..the..........coordinate.time
11bb00 20 69 73 20 3c 49 3e 61 6e 20 69 6d 70 6c 65 6d 65 6e 74 61 74 69 6f 6e 3c 2f 49 3e 20 6f 66 20 .is.<I>an.implementation</I>.of.
11bb20 54 44 42 2e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c TDB..<P>.......</DL>.<P>.....<DL
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11bba0 3c 45 4d 3e 54 44 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 <EM>TDB</EM></TD>.<TH.ALIGN="LEF
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11bbe0 22 20 4e 4f 57 52 41 50 3e 63 6f 6f 72 64 69 6e 61 74 65 20 74 69 6d 65 20 28 4d 4a 44 3a 20 4a ".NOWRAP>coordinate.time.(MJD:.J
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11bc20 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 55 54 GN="TOP"><TD.ALIGN="LEFT"><EM>UT
11bc40 31 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 1</EM></TD>.<TD.ALIGN="LEFT"><B>
11bc60 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 D</B></TD>.<TD.ALIGN="LEFT".NOWR
11bc80 41 50 3e 75 6e 69 76 65 72 73 61 6c 20 74 69 6d 65 20 28 66 72 61 63 74 69 6f 6e 20 6f 66 20 6f AP>universal.time.(fraction.of.o
11bca0 6e 65 20 64 61 79 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 ne.day)</TD>.</TR>.<TR.VALIGN="T
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11bce0 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c </TD>.<TD.ALIGN="LEFT"><B>D</B><
11bd00 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 63 6c 6f /TD>.<TD.ALIGN="LEFT".NOWRAP>clo
11bd20 63 6b 20 6c 6f 6e 67 69 74 75 64 65 20 28 72 61 64 69 61 6e 73 20 77 65 73 74 29 3c 2f 54 44 3e ck.longitude.(radians.west)</TD>
11bd40 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
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11bdc0 72 6f 6d 20 45 61 72 74 68 20 73 70 69 6e 20 61 78 69 73 20 28 6b 6d 29 3c 2f 54 44 3e 0a 3c 2f rom.Earth.spin.axis.(km)</TD>.</
11bde0 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
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11be80 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 </TD>.</TR>.</TABLE></DL>.<P>...
11bea0 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 ..<DL>.<DT><STRONG>RETURNED:</ST
11bec0 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 RONG>.<DD>.<BR>.<TABLE.CELLPADDI
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11bf00 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 73 6c 61 5f 52 43 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 ="LEFT"><EM>sla_RCC</EM></TD>.<T
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11bf40 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 54 44 42 2d 54 54 20 28 73 65 63 .ALIGN="LEFT".NOWRAP>TDB-TT.(sec
11bf60 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 )</TD>.</TR>.</TABLE></DL>.<P>..
11bf80 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 ....<DL>.<DT><STRONG>NOTES:</STR
11bfa0 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 ONG>.<DD><DL.COMPACT>.<DT>1..<DD
11bfc0 3e 54 44 42 20 6d 61 79 20 62 65 20 63 6f 6e 73 69 64 65 72 65 64 20 74 6f 0a 62 65 20 74 68 65 >TDB.may.be.considered.to.be.the
11bfe0 20 63 6f 6f 72 64 69 6e 61 74 65 20 74 69 6d 65 20 69 6e 20 74 68 65 20 73 6f 6c 61 72 20 73 79 .coordinate.time.in.the.solar.sy
11c000 73 74 65 6d 20 62 61 72 79 63 65 6e 74 72 65 20 66 72 61 6d 65 20 6f 66 0a 72 65 66 65 72 65 6e stem.barycentre.frame.of.referen
11c020 63 65 2c 20 61 6e 64 20 54 54 20 69 73 20 74 68 65 20 70 72 6f 70 65 72 20 74 69 6d 65 20 67 69 ce,.and.TT.is.the.proper.time.gi
11c040 76 65 6e 20 62 79 20 63 6c 6f 63 6b 73 20 61 74 20 6d 65 61 6e 20 73 65 61 0a 20 20 20 20 20 20 ven.by.clocks.at.mean.sea.......
11c060 20 20 6c 65 76 65 6c 20 6f 6e 20 74 68 65 20 45 61 72 74 68 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c ..level.on.the.Earth....<DT>2..<
11c080 44 44 3e 54 68 65 20 72 65 73 75 6c 74 20 68 61 73 20 61 20 6d 61 69 6e 20 28 61 6e 6e 75 61 6c DD>The.result.has.a.main.(annual
11c0a0 29 20 73 69 6e 75 73 6f 69 64 61 6c 20 74 65 72 6d 20 6f 66 20 61 6d 70 6c 69 74 75 64 65 0a 20 ).sinusoidal.term.of.amplitude..
11c0c0 20 20 20 20 20 20 20 61 70 70 72 6f 78 69 6d 61 74 65 6c 79 20 31 2e 36 36 6d 73 2c 20 70 6c 75 .......approximately.1.66ms,.plu
11c0e0 73 20 70 6c 61 6e 65 74 61 72 79 20 74 65 72 6d 73 20 75 70 20 74 6f 20 61 62 6f 75 74 0a 20 20 s.planetary.terms.up.to.about...
11c100 20 20 20 20 20 20 32 30 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 32 22 20 48 45 49 47 48 54 3d 22 ......20<IMG.WIDTH="12".HEIGHT="
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11c180 6f 20 32 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 32 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 o.2<IMG.WIDTH="12".HEIGHT="25".A
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11c240 69 66 74 20 61 73 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 76 61 72 69 65 73 20 69 6e 20 73 70 ift.as.the.observer.varies.in.sp
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11c280 66 66 65 72 65 6e 74 20 67 72 61 76 69 74 61 74 69 6f 6e 61 6c 20 70 6f 74 65 6e 74 69 61 6c 73 fferent.gravitational.potentials
11c2a0 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 61 72 67 75 6d 65 6e 74 20 54 44 42 20 ....<DT>3..<DD>The.argument.TDB.
11c2c0 69 73 2c 20 73 74 72 69 63 74 6c 79 2c 20 74 68 65 20 62 61 72 79 63 65 6e 74 72 69 63 20 63 6f is,.strictly,.the.barycentric.co
11c2e0 6f 72 64 69 6e 61 74 65 20 74 69 6d 65 3b 0a 20 20 20 20 20 20 20 20 68 6f 77 65 76 65 72 2c 20 ordinate.time;.........however,.
11c300 74 68 65 20 74 65 72 72 65 73 74 72 69 61 6c 20 70 72 6f 70 65 72 20 74 69 6d 65 20 28 54 54 29 the.terrestrial.proper.time.(TT)
11c320 20 63 61 6e 20 69 6e 20 70 72 61 63 74 69 63 65 20 62 65 20 75 73 65 64 2e 0a 20 20 3c 44 54 3e .can.in.practice.be.used....<DT>
11c340 34 2e 0a 3c 44 44 3e 54 68 65 20 67 65 6f 63 65 6e 74 72 69 63 20 6d 6f 64 65 6c 20 69 73 20 74 4..<DD>The.geocentric.model.is.t
11c360 68 61 74 20 6f 66 20 46 61 69 72 68 65 61 64 20 26 61 6d 70 3b 20 42 72 65 74 61 67 6e 6f 6e 20 hat.of.Fairhead.&amp;.Bretagnon.
11c380 28 31 39 39 30 29 2c 0a 20 20 20 20 20 20 20 20 69 6e 20 69 74 73 20 66 75 6c 6c 0a 20 20 20 20 (1990),.........in.its.full.....
11c3a0 20 20 20 20 66 6f 72 6d 2e 20 20 49 74 20 77 61 73 20 73 75 70 70 6c 69 65 64 20 62 79 20 46 61 ....form...It.was.supplied.by.Fa
11c3c0 69 72 68 65 61 64 20 28 70 72 69 76 61 74 65 20 63 6f 6d 6d 75 6e 69 63 61 74 69 6f 6e 29 0a 20 irhead.(private.communication)..
11c3e0 20 20 20 20 20 20 20 61 73 20 61 20 46 6f 72 74 72 61 6e 20 73 75 62 72 6f 75 74 69 6e 65 2e 20 .......as.a.Fortran.subroutine..
11c400 20 41 20 6e 75 6d 62 65 72 20 6f 66 20 63 6f 64 69 6e 67 20 63 68 61 6e 67 65 73 20 77 65 72 65 .A.number.of.coding.changes.were
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11c440 20 69 6e 20 6f 72 64 65 72 0a 20 20 20 20 20 20 20 20 6d 61 74 63 68 20 74 68 65 20 63 61 6c 6c .in.order.........match.the.call
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11c480 73 20 6f 66 20 74 68 65 20 70 72 65 73 65 6e 74 0a 20 20 20 20 20 20 20 20 72 6f 75 74 69 6e 65 s.of.the.present.........routine
11c4a0 2c 20 74 6f 20 63 6f 6d 70 6c 79 20 77 69 74 68 20 53 74 61 72 6c 69 6e 6b 20 70 72 6f 67 72 61 ,.to.comply.with.Starlink.progra
11c4c0 6d 6d 69 6e 67 20 73 74 61 6e 64 61 72 64 73 20 61 6e 64 20 74 6f 0a 20 20 20 20 20 20 20 20 61 mming.standards.and.to.........a
11c4e0 76 6f 69 64 20 63 6f 6d 70 69 6c 61 74 69 6f 6e 20 70 72 6f 62 6c 65 6d 73 20 6f 6e 20 63 65 72 void.compilation.problems.on.cer
11c500 74 61 69 6e 20 6d 61 63 68 69 6e 65 73 2e 20 20 4f 6e 20 74 68 65 20 73 75 70 70 6f 72 74 65 64 tain.machines...On.the.supported
11c520 0a 20 20 20 20 20 20 20 20 63 6f 6d 70 75 74 65 72 20 74 79 70 65 73 2c 0a 20 20 20 20 20 20 20 .........computer.types,........
11c540 20 74 68 65 20 6e 75 6d 65 72 69 63 61 6c 20 72 65 73 75 6c 74 73 20 61 72 65 20 65 73 73 65 6e .the.numerical.results.are.essen
11c560 74 69 61 6c 6c 79 20 75 6e 61 66 66 65 63 74 65 64 20 62 79 20 74 68 65 0a 20 20 20 20 20 20 20 tially.unaffected.by.the........
11c580 20 63 68 61 6e 67 65 73 2e 20 20 54 68 65 20 74 6f 70 6f 63 65 6e 74 72 69 63 20 6d 6f 64 65 6c .changes...The.topocentric.model
11c5a0 20 69 73 20 66 72 6f 6d 20 4d 6f 79 65 72 20 28 31 39 38 31 29 20 61 6e 64 20 4d 75 72 72 61 79 .is.from.Moyer.(1981).and.Murray
11c5c0 20 28 31 39 38 33 29 2e 0a 20 20 20 20 20 20 20 20 44 75 72 69 6e 67 20 74 68 65 20 69 6e 74 65 .(1983)..........During.the.inte
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11c600 75 72 61 63 79 20 6f 66 20 74 68 65 0a 20 20 20 20 20 20 20 20 67 65 6f 63 65 6e 74 72 69 63 20 uracy.of.the.........geocentric.
11c620 6d 6f 64 65 6c 20 69 73 20 62 65 74 74 65 72 20 74 68 61 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d model.is.better.than.<IMG.WIDTH=
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11c680 54 3d 22 24 5c 70 6d 33 24 22 3e 26 6e 62 73 70 3b 6e 61 6e 6f 73 65 63 6f 6e 64 73 0a 20 20 20 T="$\pm3$">&nbsp;nanoseconds....
11c6a0 20 20 20 20 20 72 65 6c 61 74 69 76 65 20 74 6f 20 64 69 72 65 63 74 20 6e 75 6d 65 72 69 63 61 .....relative.to.direct.numerica
11c6c0 6c 20 69 6e 74 65 67 72 61 74 69 6f 6e 73 20 75 73 69 6e 67 20 74 68 65 20 4a 50 4c 20 44 45 32 l.integrations.using.the.JPL.DE2
11c6e0 30 30 2f 4c 45 32 30 30 0a 20 20 20 20 20 20 20 20 73 6f 6c 61 72 20 73 79 73 74 65 6d 20 65 70 00/LE200.........solar.system.ep
11c700 68 65 6d 65 72 69 73 2e 0a 20 20 3c 44 54 3e 35 2e 0a 3c 44 44 3e 54 68 65 20 49 41 55 20 64 65 hemeris....<DT>5..<DD>The.IAU.de
11c720 66 69 6e 69 74 69 6f 6e 20 6f 66 20 54 44 42 20 69 73 20 74 68 61 74 20 69 74 20 6d 75 73 74 20 finition.of.TDB.is.that.it.must.
11c740 64 69 66 66 65 72 20 66 72 6f 6d 20 54 54 20 6f 6e 6c 79 20 62 79 0a 20 20 20 20 20 20 20 20 70 differ.from.TT.only.by.........p
11c760 65 72 69 6f 64 69 63 20 74 65 72 6d 73 2e 20 20 54 68 6f 75 67 68 20 70 72 61 63 74 69 63 61 6c eriodic.terms...Though.practical
11c780 2c 20 74 68 69 73 20 69 73 20 61 6e 20 69 6d 70 72 65 63 69 73 65 20 64 65 66 69 6e 69 74 69 6f ,.this.is.an.imprecise.definitio
11c7a0 6e 0a 20 20 20 20 20 20 20 20 77 68 69 63 68 20 69 67 6e 6f 72 65 73 20 74 68 65 20 65 78 69 73 n.........which.ignores.the.exis
11c7c0 74 65 6e 63 65 20 6f 66 20 76 65 72 79 20 6c 6f 6e 67 2d 70 65 72 69 6f 64 20 61 6e 64 20 73 65 tence.of.very.long-period.and.se
11c7e0 63 75 6c 61 72 20 65 66 66 65 63 74 73 0a 20 20 20 20 20 20 20 20 69 6e 20 74 68 65 20 64 79 6e cular.effects.........in.the.dyn
11c800 61 6d 69 63 73 20 6f 66 20 74 68 65 20 73 6f 6c 61 72 20 73 79 73 74 65 6d 2e 20 20 41 73 20 61 amics.of.the.solar.system...As.a
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11d9c0 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4d 4a 44 20 6f H>.<TD.ALIGN="LEFT".NOWRAP>MJD.o
11d9e0 66 20 6f 62 73 65 72 76 61 74 69 6f 6e 20 28 4a 44 2d 32 34 30 30 30 30 30 2e 35 29 3c 2f 54 44 f.observation.(JD-2400000.5)</TD
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11dba0 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 ><EM></EM></TD>.<TD.ALIGN="LEFT"
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11dce0 4a 75 70 69 74 65 72 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 Jupiter</TD>.</TR>.<TR.VALIGN="T
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11dd40 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 36 3d 53 61 >.<TD.ALIGN="LEFT".NOWRAP>..6=Sa
11dd60 74 75 72 6e 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 turn</TD>.</TR>.<TR.VALIGN="TOP"
11dd80 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e ><TD.ALIGN="LEFT"><EM></EM></TD>
11dda0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c .<TD.ALIGN="LEFT"><B></B></TD>.<
11ddc0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 37 3d 55 72 61 6e 75 TD.ALIGN="LEFT".NOWRAP>..7=Uranu
11dde0 73 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 s</TD>.</TR>.<TR.VALIGN="TOP"><T
11de00 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 D.ALIGN="LEFT"><EM></EM></TD>.<T
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11de40 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 38 3d 4e 65 70 74 75 6e 65 3c ALIGN="LEFT".NOWRAP>..8=Neptune<
11de60 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
11de80 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 ALIGN="LEFT"><EM></EM></TD>.<TD.
11dea0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c ALIGN="LEFT"><B></B></TD>.<TD.AL
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11dee0 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
11df00 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 N="LEFT"><EM></EM></TD>.<TD.ALIG
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11df60 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
11df80 4c 45 46 54 22 3e 3c 45 4d 3e 45 4c 4f 4e 47 2c 50 48 49 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 LEFT"><EM>ELONG,PHI</EM></TD>.<T
11dfa0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 D.ALIGN="LEFT"><B>D</B></TD>.<TD
11dfc0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 72 27 73 20 .ALIGN="LEFT".NOWRAP>observer's.
11dfe0 6c 6f 6e 67 69 74 75 64 65 20 28 65 61 73 74 20 2b 76 65 29 20 61 6e 64 20 6c 61 74 69 74 75 64 longitude.(east.+ve).and.latitud
11e000 65 0a 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c e.(radians)</TD>.</TR>.</TABLE><
11e020 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 /DL>.<P>.....<DL>.<DT><STRONG>RE
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11e0a0 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 M></TD>.<TH.ALIGN="LEFT"><B>D</B
11e0c0 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 74 ></TH>.<TD.ALIGN="LEFT".NOWRAP>t
11e0e0 6f 70 6f 63 65 6e 74 72 69 63 20 61 70 70 61 72 65 6e 74 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 opocentric.apparent.<IMG.WIDTH="
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11e140 24 5b 5c 2c 5c 61 6c 70 68 61 2c 5c 64 65 6c 74 61 5c 2c 5d 24 22 3e 20 28 72 61 64 69 61 6e 73 $[\,\alpha,\delta\,]$">.(radians
11e160 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
11e180 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 49 41 4d 3c 2f 45 4d 3e 3c 2f 54 44 D.ALIGN="LEFT"><EM>DIAM</EM></TD
11e1a0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e >.<TD.ALIGN="LEFT"><B>D</B></TD>
11e1c0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 61 6e 67 75 6c 61 72 .<TD.ALIGN="LEFT".NOWRAP>angular
11e1e0 20 64 69 61 6d 65 74 65 72 20 28 65 71 75 61 74 6f 72 69 61 6c 2c 20 72 61 64 69 61 6e 73 29 3c .diameter.(equatorial,.radians)<
11e200 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 /TD>.</TR>.</TABLE></DL>.<P>....
11e220 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e ..<DL>.<DT><STRONG>NOTES:</STRON
11e240 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 G>.<DD><DL.COMPACT>.<DT>1..<DD>T
11e260 68 65 20 64 61 74 65 20 69 73 20 69 6e 20 61 20 64 79 6e 61 6d 69 63 61 6c 20 74 69 6d 65 73 63 he.date.is.in.a.dynamical.timesc
11e280 61 6c 65 20 28 54 44 42 2c 20 66 6f 72 6d 65 72 6c 79 20 45 54 29 0a 61 6e 64 20 69 73 20 69 6e ale.(TDB,.formerly.ET).and.is.in
11e2a0 20 74 68 65 20 66 6f 72 6d 20 6f 66 20 61 20 4d 6f 64 69 66 69 65 64 0a 4a 75 6c 69 61 6e 20 44 .the.form.of.a.Modified.Julian.D
11e2c0 61 74 65 20 28 4a 44 2d 32 34 30 30 30 30 30 2e 35 29 2e 20 20 46 6f 72 20 61 6c 6c 20 70 72 61 ate.(JD-2400000.5)...For.all.pra
11e2e0 63 74 69 63 61 6c 20 70 75 72 70 6f 73 65 73 2c 20 54 54 20 63 61 6e 0a 20 20 20 20 20 20 20 20 ctical.purposes,.TT.can.........
11e300 62 65 20 75 73 65 64 20 69 6e 73 74 65 61 64 20 6f 66 20 54 44 42 2c 20 61 6e 64 20 66 6f 72 20 be.used.instead.of.TDB,.and.for.
11e320 6d 61 6e 79 20 61 70 70 6c 69 63 61 74 69 6f 6e 73 20 55 54 20 77 69 6c 6c 20 64 6f 0a 20 20 20 many.applications.UT.will.do....
11e340 20 20 20 20 20 28 65 78 63 65 70 74 20 66 6f 72 20 74 68 65 20 4d 6f 6f 6e 29 2e 0a 20 20 3c 44 .....(except.for.the.Moon)....<D
11e360 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 6c 6f 6e 67 69 74 75 64 65 20 61 6e 64 20 6c 61 74 69 74 T>2..<DD>The.longitude.and.latit
11e380 75 64 65 20 61 6c 6c 6f 77 20 63 6f 72 72 65 63 74 69 6f 6e 20 66 6f 72 20 67 65 6f 63 65 6e 74 ude.allow.correction.for.geocent
11e3a0 72 69 63 0a 20 20 20 20 20 20 20 20 70 61 72 61 6c 6c 61 78 2e 20 20 54 68 69 73 20 69 73 20 61 ric.........parallax...This.is.a
11e3c0 20 6d 61 6a 6f 72 20 65 66 66 65 63 74 20 66 6f 72 20 74 68 65 20 4d 6f 6f 6e 2c 20 62 75 74 20 .major.effect.for.the.Moon,.but.
11e3e0 69 6e 20 74 68 65 0a 20 20 20 20 20 20 20 20 63 6f 6e 74 65 78 74 20 6f 66 20 74 68 65 20 6c 69 in.the.........context.of.the.li
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11e440 65 74 61 72 79 20 70 6f 73 69 74 69 6f 6e 73 20 69 73 20 73 6d 61 6c 6c 20 28 6e 65 67 6c 69 67 etary.positions.is.small.(neglig
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11e480 74 73 29 2e 20 20 47 65 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 69 6f 6e 73 20 63 61 6e 20 62 ts)...Geocentric.positions.can.b
11e4a0 65 20 67 65 6e 65 72 61 74 65 64 20 62 79 0a 20 20 20 20 20 20 20 20 61 70 70 72 6f 70 72 69 61 e.generated.by.........appropria
11e4c0 74 65 20 75 73 65 20 6f 66 20 74 68 65 20 72 6f 75 74 69 6e 65 73 20 73 6c 61 5f 44 4d 4f 4f 4e te.use.of.the.routines.sla_DMOON
11e4e0 20 61 6e 64 20 73 6c 61 5f 50 4c 41 4e 45 54 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 .and.sla_PLANET....<DT>3..<DD>Th
11e500 65 20 64 69 72 65 63 74 69 6f 6e 20 61 63 63 75 72 61 63 79 20 28 61 72 63 73 65 63 2c 20 31 30 e.direction.accuracy.(arcsec,.10
11e520 30 30 2d 33 30 30 30 41 44 29 20 69 73 20 6f 66 20 6f 72 64 65 72 3a 0a 20 20 20 20 20 20 20 20 00-3000AD).is.of.order:.........
11e540 3c 50 52 45 3e 3c 54 54 3e 0a 20 09 09 20 53 75 6e 20 09 09 20 20 20 35 0a 09 09 20 4d 65 72 63 <PRE><TT>.....Sun......5....Merc
11e560 75 72 79 20 09 09 20 20 20 32 0a 09 09 20 56 65 6e 75 73 20 09 09 20 31 30 0a 09 09 20 4d 6f 6f ury......2....Venus....10....Moo
11e580 6e 20 09 09 20 33 30 0a 09 09 20 4d 61 72 73 20 09 09 20 35 30 0a 09 09 20 4a 75 70 69 74 65 72 n....30....Mars....50....Jupiter
11e5a0 20 09 09 20 39 30 0a 09 09 20 53 61 74 75 72 6e 20 09 09 20 39 30 0a 09 09 20 55 72 61 6e 75 73 ....90....Saturn....90....Uranus
11e5c0 20 09 09 20 39 30 0a 09 09 20 4e 65 70 74 75 6e 65 20 09 09 20 31 30 0a 09 09 20 50 6c 75 74 6f ....90....Neptune....10....Pluto
11e5e0 20 09 09 20 20 31 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 28 31 38 38 35 2d 32 30 .....1&nbsp;&nbsp;&nbsp;(1885-20
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11e620 20 20 20 20 20 20 20 54 68 65 20 61 6e 67 75 6c 61 72 20 64 69 61 6d 65 74 65 72 20 61 63 63 75 .......The.angular.diameter.accu
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11e680 20 74 68 65 20 53 75 6e 20 61 6e 64 20 70 6c 61 6e 65 74 73 2e 0a 20 20 20 20 20 20 20 20 46 6f .the.Sun.and.planets..........Fo
11e6a0 72 20 6d 6f 72 65 20 69 6e 66 6f 72 6d 61 74 69 6f 6e 20 6f 6e 20 61 63 63 75 72 61 63 79 2c 0a r.more.information.on.accuracy,.
11e6c0 20 20 20 20 20 20 20 20 72 65 66 65 72 20 74 6f 20 74 68 65 20 72 6f 75 74 69 6e 65 73 20 73 6c ........refer.to.the.routines.sl
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121a80 65 73 73 75 72 65 20 61 74 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 28 6d 42 29 3c 2f 54 44 3e essure.at.the.observer.(mB)</TD>
121aa0 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
121ac0 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c N="LEFT"><EM>RH</EM></TD>.<TD.AL
121ae0 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 IGN="LEFT"><B>D</B></TD>.<TD.ALI
121b00 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 6c 61 74 69 76 65 20 68 75 6d 69 64 69 GN="LEFT".NOWRAP>relative.humidi
121b20 74 79 20 61 74 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 28 72 61 6e 67 65 20 30 2d 31 29 3c 2f ty.at.the.observer.(range.0-1)</
121b40 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
121b60 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 57 4c 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 LIGN="LEFT"><EM>WL</EM></TD>.<TD
121b80 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>D</B></TD>.<TD.
121ba0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 66 66 65 63 74 69 76 65 20 77 61 ALIGN="LEFT".NOWRAP>effective.wa
121bc0 76 65 6c 65 6e 67 74 68 20 6f 66 20 74 68 65 20 73 6f 75 72 63 65 20 28 3c 49 4d 47 20 57 49 44 velength.of.the.source.(<IMG.WID
121be0 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c TH="26".HEIGHT="25".ALIGN="MIDDL
121c00 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 31 2e 67 69 66 22 0a 20 E".BORDER="0"..SRC="img21.gif"..
121c20 41 4c 54 3d 22 24 5c 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a ALT="$\mu{\rm.m}$">)</TD>.</TR>.
121c40 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c </TABLE></DL>.<P>.....<DL>.<DT><
121c60 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c STRONG>RETURNED:</STRONG>.<DD>.<
121c80 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 BR>.<TABLE.CELLPADDING=3>.<TR.VA
121ca0 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
121cc0 52 45 46 41 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e REFA</EM></TD>.<TH.ALIGN="LEFT">
121ce0 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e <B>D</B></TH>.<TD.ALIGN="LEFT".N
121d00 4f 57 52 41 50 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 33 37 22 20 48 45 49 47 48 54 3d 22 32 37 OWRAP><IMG.WIDTH="37".HEIGHT="27
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121d60 22 3e 20 63 6f 65 66 66 69 63 69 65 6e 74 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f ">.coefficient.(radians)</TD>.</
121d80 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
121da0 4c 45 46 54 22 3e 3c 45 4d 3e 52 45 46 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 LEFT"><EM>REFB</EM></TD>.<TD.ALI
121dc0 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>D</B></TD>.<TD.ALIG
121de0 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 34 22 20 N="LEFT".NOWRAP><IMG.WIDTH="44".
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121e20 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 35 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c R="0"..SRC="img152.gif"..ALT="$\
121e40 74 61 6e 5e 7b 33 7d 20 5c 7a 65 74 61 24 22 3e 20 63 6f 65 66 66 69 63 69 65 6e 74 20 28 72 61 tan^{3}.\zeta$">.coefficient.(ra
121e60 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a dians)</TD>.</TR>.</TABLE></DL>.
121e80 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a <P>......<DL>.<DT><STRONG>NOTES:
121ea0 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 </STRONG>.<DD><DL.COMPACT>.<DT>1
121ec0 2e 0a 3c 44 44 3e 54 68 65 20 72 61 64 69 6f 20 72 65 66 72 61 63 74 69 6f 6e 20 69 73 20 63 68 ..<DD>The.radio.refraction.is.ch
121ee0 6f 73 65 6e 20 62 79 20 73 70 65 63 69 66 79 69 6e 67 20 57 4c 20 26 67 74 3b 31 30 30 26 6e 62 osen.by.specifying.WL.&gt;100&nb
121f00 73 70 3b 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 sp;<IMG.WIDTH="26".HEIGHT="25".A
121f20 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 LIGN="MIDDLE".BORDER="0"..SRC="i
121f40 6d 67 32 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 2e 3c mg21.gif"..ALT="$\mu{\rm.m}$">.<
121f60 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 6d 6f 64 65 6c 20 69 73 20 61 6e 20 61 70 70 72 6f 78 DT>2..<DD>The.model.is.an.approx
121f80 69 6d 61 74 69 6f 6e 2c 20 66 6f 72 20 6d 6f 64 65 72 61 74 65 20 7a 65 6e 69 74 68 20 64 69 73 imation,.for.moderate.zenith.dis
121fa0 74 61 6e 63 65 73 2c 0a 74 6f 20 74 68 65 20 70 72 65 64 69 63 74 69 6f 6e 73 20 6f 66 20 74 68 tances,.to.the.predictions.of.th
121fc0 65 20 73 6c 61 5f 52 45 46 52 4f 20 72 6f 75 74 69 6e 65 2e 20 20 54 68 65 20 61 70 70 72 6f 78 e.sla_REFRO.routine...The.approx
121fe0 69 6d 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 69 73 20 6d 61 69 6e 74 61 69 6e 65 64 20 61 63 imation.........is.maintained.ac
122000 72 6f 73 73 20 61 20 72 61 6e 67 65 20 6f 66 20 63 6f 6e 64 69 74 69 6f 6e 73 2c 20 61 6e 64 20 ross.a.range.of.conditions,.and.
122020 61 70 70 6c 69 65 73 20 74 6f 0a 20 20 20 20 20 20 20 20 62 6f 74 68 20 6f 70 74 69 63 61 6c 2f applies.to.........both.optical/
122040 49 52 20 61 6e 64 20 72 61 64 69 6f 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 61 IR.and.radio....<DT>3..<DD>The.a
122060 6c 67 6f 72 69 74 68 6d 20 69 73 20 61 20 66 61 73 74 20 61 6c 74 65 72 6e 61 74 69 76 65 20 74 lgorithm.is.a.fast.alternative.t
122080 6f 20 74 68 65 20 73 6c 61 5f 52 45 46 43 4f 20 72 6f 75 74 69 6e 65 2e 0a 20 20 20 20 20 20 20 o.the.sla_REFCO.routine.........
1220a0 20 54 68 65 20 6c 61 74 74 65 72 20 63 61 6c 6c 73 20 74 68 65 20 73 6c 61 5f 52 45 46 52 4f 20 .The.latter.calls.the.sla_REFRO.
1220c0 72 6f 75 74 69 6e 65 20 69 74 73 65 6c 66 3a 20 20 74 68 69 73 20 69 6e 76 6f 6c 76 65 73 0a 20 routine.itself:..this.involves..
1220e0 20 20 20 20 20 20 20 69 6e 74 65 67 72 61 74 69 6f 6e 73 20 74 68 72 6f 75 67 68 20 61 20 6d 6f .......integrations.through.a.mo
122100 64 65 6c 20 61 74 6d 6f 73 70 68 65 72 65 2c 20 61 6e 64 20 69 73 20 63 6f 73 74 6c 79 20 69 6e del.atmosphere,.and.is.costly.in
122120 0a 20 20 20 20 20 20 20 20 70 72 6f 63 65 73 73 6f 72 20 74 69 6d 65 2e 20 20 48 6f 77 65 76 65 .........processor.time...Howeve
122140 72 2c 20 74 68 65 20 6d 6f 64 65 6c 20 77 68 69 63 68 20 69 73 20 70 72 6f 64 75 63 65 64 20 69 r,.the.model.which.is.produced.i
122160 73 20 70 72 65 63 69 73 65 6c 79 0a 20 20 20 20 20 20 20 20 63 6f 72 72 65 63 74 20 66 6f 72 20 s.precisely.........correct.for.
122180 74 77 6f 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 73 20 28 3c 49 4d 47 20 57 49 44 54 48 two.zenith.distances.(<IMG.WIDTH
1221a0 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 ="26".HEIGHT="14".ALIGN="BOTTOM"
1221c0 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 35 34 2e 67 69 66 22 0a 20 41 .BORDER="0"..SRC="img154.gif"..A
1221e0 4c 54 3d 22 24 34 35 5e 5c 63 69 72 63 24 22 3e 20 61 6e 64 20 3c 49 4d 47 20 57 49 44 54 48 3d LT="$45^\circ$">.and.<IMG.WIDTH=
122200 22 34 30 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 "40".HEIGHT="14".ALIGN="BOTTOM".
122220 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 36 31 2e 67 69 66 22 0a 20 41 4c BORDER="0"..SRC="img161.gif"..AL
122240 54 3d 22 24 5c 73 69 6d 5c 21 37 36 5e 5c 63 69 72 63 24 22 3e 29 20 20 20 20 20 20 20 20 61 6e T="$\sim\!76^\circ$">)........an
122260 64 20 61 74 20 6f 74 68 65 72 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 73 20 69 73 20 6c d.at.other.zenith.distances.is.l
122280 69 6d 69 74 65 64 20 69 6e 20 61 63 63 75 72 61 63 79 20 6f 6e 6c 79 20 62 79 20 74 68 65 0a 20 imited.in.accuracy.only.by.the..
1222a0 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 36 34 22 20 48 45 49 47 48 54 3d 22 .......<IMG.WIDTH="164".HEIGHT="
1222c0 33 31 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 31".ALIGN="MIDDLE".BORDER="0"..S
1222e0 52 43 3d 22 69 6d 67 31 34 38 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 44 65 6c 74 61 20 5c 7a RC="img148.gif"..ALT="$\Delta.\z
122300 65 74 61 20 3d 20 61 20 5c 74 61 6e 20 5c 7a 65 74 61 20 2b 20 62 20 5c 74 61 6e 5e 7b 33 7d 20 eta.=.a.\tan.\zeta.+.b.\tan^{3}.
122320 5c 7a 65 74 61 24 22 3e 20 66 6f 72 6d 75 6c 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 69 74 73 \zeta$">.formulation.........its
122340 65 6c 66 2e 20 20 54 68 65 20 70 72 65 73 65 6e 74 20 72 6f 75 74 69 6e 65 20 69 73 20 6e 6f 74 elf...The.present.routine.is.not
122360 20 61 73 20 61 63 63 75 72 61 74 65 2c 20 74 68 6f 75 67 68 20 69 74 0a 20 20 20 20 20 20 20 20 .as.accurate,.though.it.........
122380 73 61 74 69 73 66 69 65 73 20 6d 6f 73 74 20 70 72 61 63 74 69 63 61 6c 20 72 65 71 75 69 72 65 satisfies.most.practical.require
1223a0 6d 65 6e 74 73 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 54 68 65 20 6d 6f 64 65 6c 20 6f 6d ments....<DT>4..<DD>The.model.om
1223c0 69 74 73 20 74 68 65 20 65 66 66 65 63 74 73 20 6f 66 20 28 69 29 26 6e 62 73 70 3b 68 65 69 67 its.the.effects.of.(i)&nbsp;heig
1223e0 68 74 20 61 62 6f 76 65 20 73 65 61 20 6c 65 76 65 6c 20 28 61 70 61 72 74 0a 20 20 20 20 20 20 ht.above.sea.level.(apart.......
122400 20 20 66 72 6f 6d 20 74 68 65 20 72 65 64 75 63 65 64 20 70 72 65 73 73 75 72 65 20 69 74 73 65 ..from.the.reduced.pressure.itse
122420 6c 66 29 2c 20 28 69 69 29 26 6e 62 73 70 3b 6c 61 74 69 74 75 64 65 20 28 3c 49 3e 69 2e 65 2e lf),.(ii)&nbsp;latitude.(<I>i.e.
122440 3c 2f 49 3e 20 74 68 65 0a 20 20 20 20 20 20 20 20 66 6c 61 74 74 65 6e 69 6e 67 20 6f 66 20 74 </I>.the.........flattening.of.t
122460 68 65 20 45 61 72 74 68 29 20 61 6e 64 20 28 69 69 69 29 26 6e 62 73 70 3b 76 61 72 69 61 74 69 he.Earth).and.(iii)&nbsp;variati
122480 6f 6e 73 20 69 6e 20 74 72 6f 70 6f 73 70 68 65 72 69 63 0a 20 20 20 20 20 20 20 20 6c 61 70 73 ons.in.tropospheric.........laps
1224a0 65 20 72 61 74 65 2e 0a 20 20 3c 44 54 3e 35 2e 0a 3c 44 44 3e 54 68 65 20 6d 6f 64 65 6c 20 68 e.rate....<DT>5..<DD>The.model.h
1224c0 61 73 20 62 65 65 6e 20 74 65 73 74 65 64 20 75 73 69 6e 67 20 74 68 65 20 66 6f 6c 6c 6f 77 69 as.been.tested.using.the.followi
1224e0 6e 67 20 72 61 6e 67 65 20 6f 66 20 63 6f 6e 64 69 74 69 6f 6e 73 3a 0a 20 20 20 20 20 20 20 20 ng.range.of.conditions:.........
122500 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 <DL.COMPACT>.<DT><IMG.WIDTH="7".
122520 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 HEIGHT="14".ALIGN="BOTTOM".BORDE
122540 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 63 R="0"..SRC="img72.gif"..ALT="$\c
122560 64 6f 74 24 22 3e 3c 44 44 3e 6c 61 70 73 65 20 72 61 74 65 73 20 30 2e 30 30 35 35 2c 20 30 2e dot$"><DD>lapse.rates.0.0055,.0.
122580 30 30 36 35 2c 20 30 2e 30 30 37 35 26 6e 62 73 70 3b 64 65 67 72 65 65 73 20 4b 20 70 65 72 20 0065,.0.0075&nbsp;degrees.K.per.
1225a0 6d 65 74 72 65 0a 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d metre.<DT><IMG.WIDTH="7".HEIGHT=
1225c0 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 "14".ALIGN="BOTTOM".BORDER="0"..
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122600 44 44 3e 6c 61 74 69 74 75 64 65 73 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 38 22 20 48 45 49 DD>latitudes.<IMG.WIDTH="18".HEI
122620 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 GHT="14".ALIGN="BOTTOM".BORDER="
122640 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 30 5e 7b 5c 63 69 0"..SRC="img1.gif"..ALT="$0^{\ci
122660 72 63 7d 24 22 3e 2c 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 rc}$">,.<IMG.WIDTH="26".HEIGHT="
122680 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 14".ALIGN="BOTTOM".BORDER="0"..S
1226a0 52 43 3d 22 69 6d 67 31 36 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 32 35 5e 5c 63 69 72 63 24 RC="img162.gif"..ALT="$25^\circ$
1226c0 22 3e 2c 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 ">,.<IMG.WIDTH="26".HEIGHT="14".
1226e0 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 ALIGN="BOTTOM".BORDER="0"..SRC="
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122720 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 <IMG.WIDTH="26".HEIGHT="14".ALIG
122740 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 N="BOTTOM".BORDER="0"..SRC="img1
122760 36 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 37 35 5e 5c 63 69 72 63 24 22 3e 20 20 20 20 20 20 64.gif"..ALT="$75^\circ$">......
122780 20 20 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d 22 31 34 22 ..<DT><IMG.WIDTH="7".HEIGHT="14"
1227a0 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="BOTTOM".BORDER="0"..SRC=
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1227e0 65 69 67 68 74 73 20 30 2c 20 32 35 30 30 2c 20 35 30 30 30 20 6d 65 74 72 65 73 20 61 62 6f 76 eights.0,.2500,.5000.metres.abov
122800 65 20 73 65 61 20 6c 65 76 65 6c 0a 20 20 20 20 20 20 20 20 3c 44 54 3e 3c 49 4d 47 20 57 49 44 e.sea.level.........<DT><IMG.WID
122820 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d TH="7".HEIGHT="14".ALIGN="BOTTOM
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122860 4c 54 3d 22 24 5c 63 64 6f 74 24 22 3e 3c 44 44 3e 70 72 65 73 73 75 72 65 73 20 6d 65 61 6e 20 LT="$\cdot$"><DD>pressures.mean.
122880 66 6f 72 20 68 65 69 67 68 74 20 2d 31 30 25 20 74 6f 20 2b 35 25 20 69 6e 20 73 74 65 70 73 20 for.height.-10%.to.+5%.in.steps.
1228a0 6f 66 20 35 25 0a 20 20 20 20 20 20 20 20 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 of.5%.........<DT><IMG.WIDTH="7"
1228c0 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 .HEIGHT="14".ALIGN="BOTTOM".BORD
1228e0 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c ER="0"..SRC="img72.gif"..ALT="$\
122900 63 64 6f 74 24 22 3e 3c 44 44 3e 74 65 6d 70 65 72 61 74 75 72 65 73 20 3c 49 4d 47 20 57 49 44 cdot$"><DD>temperatures.<IMG.WID
122920 54 48 3d 22 33 38 22 20 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c TH="38".HEIGHT="27".ALIGN="MIDDL
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122960 20 41 4c 54 3d 22 24 2d 31 30 5e 5c 63 69 72 63 24 22 3e 20 74 6f 20 3c 49 4d 47 20 57 49 44 54 .ALT="$-10^\circ$">.to.<IMG.WIDT
122980 48 3d 22 33 38 22 20 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 H="38".HEIGHT="27".ALIGN="MIDDLE
1229a0 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 36 36 2e 67 69 66 22 0a 20 ".BORDER="0"..SRC="img166.gif"..
1229c0 41 4c 54 3d 22 24 2b 32 30 5e 5c 63 69 72 63 24 22 3e 20 77 69 74 68 20 72 65 73 70 65 63 74 20 ALT="$+20^\circ$">.with.respect.
1229e0 74 6f 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 33 34 22 to...............<IMG.WIDTH="34"
122a00 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 .HEIGHT="14".ALIGN="BOTTOM".BORD
122a20 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 36 37 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 ER="0"..SRC="img167.gif"..ALT="$
122a40 32 38 30 5e 5c 63 69 72 63 24 22 3e 4b 20 61 74 20 73 65 61 20 6c 65 76 65 6c 0a 20 20 20 20 20 280^\circ$">K.at.sea.level......
122a60 20 20 20 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d 22 31 34 ...<DT><IMG.WIDTH="7".HEIGHT="14
122a80 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 ".ALIGN="BOTTOM".BORDER="0"..SRC
122aa0 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 63 64 6f 74 24 22 3e 3c 44 44 3e ="img72.gif"..ALT="$\cdot$"><DD>
122ac0 72 65 6c 61 74 69 76 65 20 68 75 6d 69 64 69 74 79 20 30 2c 20 30 2e 35 2c 20 31 0a 20 20 20 20 relative.humidity.0,.0.5,.1.....
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122b40 3e 77 61 76 65 6c 65 6e 67 74 68 20 30 2e 34 2c 20 30 2e 36 2c 20 2e 2e 2e 20 3c 49 4d 47 20 57 >wavelength.0.4,.0.6,.....<IMG.W
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122dc0 3c 50 3e 20 20 20 20 20 20 20 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 <P>........&nbsp;&nbsp;&nbsp;&nb
122de0 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp
122e00 3b 26 6e 62 73 70 3b 0a 20 20 20 20 20 20 20 20 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 ;&nbsp;.........<TABLE.CELLPADDI
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122e60 3b 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e ;</TD>.<TH.ALIGN="RIGHT".NOWRAP>
122e80 3c 49 3e 77 6f 72 73 74 3c 2f 49 3e 3c 2f 54 48 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 52 49 47 <I>worst</I></TH>.<TH.ALIGN="RIG
122ea0 48 54 22 20 4e 4f 57 52 41 50 3e 3c 49 3e 52 4d 53 3c 2f 49 3e 3c 2f 54 48 3e 0a 3c 2f 54 52 3e HT".NOWRAP><I>RMS</I></TH>.</TR>
122ec0 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 .<TR.VALIGN="TOP"><TD.ALIGN="RIG
122ee0 48 54 22 20 4e 4f 57 52 41 50 3e 6f 70 74 69 63 61 6c 2f 49 52 3c 2f 54 44 3e 0a 3c 54 44 20 41 HT".NOWRAP>optical/IR</TD>.<TD.A
122f00 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 36 32 3c 2f 54 44 3e 0a 3c 54 44 20 LIGN="RIGHT".NOWRAP>62</TD>.<TD.
122f20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 38 3c 2f 54 44 3e 0a 3c 2f 54 52 ALIGN="RIGHT".NOWRAP>8</TD>.</TR
122f40 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 >.<TR.VALIGN="TOP"><TD.ALIGN="RI
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122fa0 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 34 39 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a GN="RIGHT".NOWRAP>49</TD>.</TR>.
122fc0 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 <TR.VALIGN="TOP"><TD.ALIGN="RIGH
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123020 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 6d 61 73 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a N="RIGHT".NOWRAP>mas</TD>.</TR>.
123040 3c 2f 54 41 42 4c 45 3e 0a 3c 50 3e 20 20 20 20 20 20 20 20 3c 42 52 3e 0a 3c 42 52 3e 0a 3c 42 </TABLE>.<P>........<BR>.<BR>.<B
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123080 73 65 74 20 6f 66 20 63 6f 6e 64 69 74 69 6f 6e 73 3a 0a 20 20 20 20 20 20 20 20 3c 44 4c 20 43 set.of.conditions:.........<DL.C
1230a0 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 OMPACT>.<DT><IMG.WIDTH="7".HEIGH
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1230e0 0a 20 53 52 43 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 63 64 6f 74 24 22 ..SRC="img72.gif"..ALT="$\cdot$"
123100 3e 3c 44 44 3e 6c 61 70 73 65 20 72 61 74 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 38 36 22 20 ><DD>lapse.rate.<IMG.WIDTH="86".
123120 48 45 49 47 48 54 3d 22 31 37 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 HEIGHT="17".ALIGN="BOTTOM".BORDE
123140 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 36 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 36 R="0"..SRC="img169.gif"..ALT="$6
123160 2e 35 5e 5c 63 69 72 63 20 4b 20 6b 6d 5e 7b 2d 31 7d 24 22 3e 3c 44 54 3e 3c 49 4d 47 20 57 49 .5^\circ.K.km^{-1}$"><DT><IMG.WI
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1231a0 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 M".BORDER="0"..SRC="img72.gif"..
1231c0 41 4c 54 3d 22 24 5c 63 64 6f 74 24 22 3e 3c 44 44 3e 6c 61 74 69 74 75 64 65 20 3c 49 4d 47 20 ALT="$\cdot$"><DD>latitude.<IMG.
1231e0 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f WIDTH="26".HEIGHT="14".ALIGN="BO
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123220 66 22 0a 20 41 4c 54 3d 22 24 35 30 5e 5c 63 69 72 63 24 22 3e 20 20 20 20 20 20 20 20 3c 44 54 f"..ALT="$50^\circ$">........<DT
123240 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 ><IMG.WIDTH="7".HEIGHT="14".ALIG
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1232a0 76 65 6c 0a 20 20 20 20 20 20 20 20 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 vel.........<DT><IMG.WIDTH="7".H
1232c0 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 EIGHT="14".ALIGN="BOTTOM".BORDER
1232e0 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 63 64 ="0"..SRC="img72.gif"..ALT="$\cd
123300 6f 74 24 22 3e 3c 44 44 3e 70 72 65 73 73 75 72 65 20 31 30 30 35 6d 42 0a 20 20 20 20 20 20 20 ot$"><DD>pressure.1005mB........
123320 20 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 .<DT><IMG.WIDTH="7".HEIGHT="14".
123340 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 ALIGN="BOTTOM".BORDER="0"..SRC="
123360 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 63 64 6f 74 24 22 3e 3c 44 44 3e 74 65 img72.gif"..ALT="$\cdot$"><DD>te
123380 6d 70 65 72 61 74 75 72 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 38 22 20 48 45 49 47 48 54 mperature.<IMG.WIDTH="18".HEIGHT
1233a0 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="14".ALIGN="BOTTOM".BORDER="0".
1233c0 20 53 52 43 3d 22 69 6d 67 31 37 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 37 5e 5c 63 69 72 63 .SRC="img170.gif"..ALT="$7^\circ
1233e0 24 22 3e 43 0a 20 20 20 20 20 20 20 20 3c 44 54 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 $">C.........<DT><IMG.WIDTH="7".
123400 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 HEIGHT="14".ALIGN="BOTTOM".BORDE
123420 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 37 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 63 R="0"..SRC="img72.gif"..ALT="$\c
123440 64 6f 74 24 22 3e 3c 44 44 3e 68 75 6d 69 64 69 74 79 20 38 30 25 0a 20 20 20 20 20 20 20 20 3c dot$"><DD>humidity.80%.........<
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1234e0 20 20 20 74 68 65 20 72 65 73 75 6c 74 73 20 77 65 72 65 20 61 73 20 66 6f 6c 6c 6f 77 73 3a 0a ...the.results.were.as.follows:.
123500 3c 50 3e 20 20 20 20 20 20 20 20 3c 42 52 3e 0a 3c 42 52 3e 0a 3c 42 52 3e 0a 3c 50 3e 20 20 20 <P>........<BR>.<BR>.<BR>.<P>...
123520 20 20 20 20 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 .....&nbsp;&nbsp;&nbsp;&nbsp;&nb
123540 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp
123560 3b 0a 20 20 20 20 20 20 20 20 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 20 42 ;.........<TABLE.CELLPADDING=3.B
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1235c0 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 31 22 20 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 <IMG.WIDTH="11".HEIGHT="27".ALIG
1235e0 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 N="MIDDLE".BORDER="0"..SRC="img1
123600 34 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 7a 65 74 61 24 22 3e 3c 2f 54 44 3e 0a 3c 54 44 49.gif"..ALT="$\zeta$"></TD>.<TD
123620 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 .ALIGN="CENTER".NOWRAP.COLSPAN=1
123640 3e 73 6c 61 5f 52 45 46 52 4f 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 >sla_REFRO</TD>.<TD.ALIGN="CENTE
123660 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 73 6c 61 5f 52 45 46 43 4f 51 3c 2f R".NOWRAP.COLSPAN=1>sla_REFCOQ</
123680 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f TD>.<TD.ALIGN="CENTER".NOWRAP.CO
1236a0 4c 53 50 41 4e 3d 31 3e 53 61 61 73 74 61 6d 6f 69 6e 65 6e 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a LSPAN=1>Saastamoinen</TD>.</TR>.
1236c0 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 <TR.VALIGN="TOP"><TD.ALIGN="RIGH
1236e0 54 22 20 4e 4f 57 52 41 50 3e 31 30 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 T".NOWRAP>10</TD>.<TD.ALIGN="RIG
123700 48 54 22 20 4e 4f 57 52 41 50 3e 31 30 2e 32 37 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d HT".NOWRAP>10.27</TD>.<TD.ALIGN=
123720 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 31 30 2e 32 37 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c "RIGHT".NOWRAP>10.27</TD>.<TD.AL
123740 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 31 30 2e 32 37 3c 2f 54 44 3e 0a 3c 2f IGN="RIGHT".NOWRAP>10.27</TD>.</
123760 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
123780 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 32 30 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d RIGHT".NOWRAP>20</TD>.<TD.ALIGN=
1237a0 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 32 31 2e 31 39 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c "RIGHT".NOWRAP>21.19</TD>.<TD.AL
1237c0 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 32 31 2e 32 30 3c 2f 54 44 3e 0a 3c 54 IGN="RIGHT".NOWRAP>21.20</TD>.<T
1237e0 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 32 31 2e 31 39 3c 2f 54 44 D.ALIGN="RIGHT".NOWRAP>21.19</TD
123800 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 >.</TR>.<TR.VALIGN="TOP"><TD.ALI
123820 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 33 30 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c GN="RIGHT".NOWRAP>30</TD>.<TD.AL
123840 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 33 33 2e 36 31 3c 2f 54 44 3e 0a 3c 54 IGN="RIGHT".NOWRAP>33.61</TD>.<T
123860 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 33 33 2e 36 31 3c 2f 54 44 D.ALIGN="RIGHT".NOWRAP>33.61</TD
123880 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 33 33 2e 36 30 >.<TD.ALIGN="RIGHT".NOWRAP>33.60
1238a0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
1238c0 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 34 30 3c 2f 54 44 3e 0a 3c 54 .ALIGN="RIGHT".NOWRAP>40</TD>.<T
1238e0 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 34 38 2e 38 32 3c 2f 54 44 D.ALIGN="RIGHT".NOWRAP>48.82</TD
123900 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 34 38 2e 38 33 >.<TD.ALIGN="RIGHT".NOWRAP>48.83
123920 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 34 </TD>.<TD.ALIGN="RIGHT".NOWRAP>4
123940 38 2e 38 31 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 8.81</TD>.</TR>.<TR.VALIGN="TOP"
123960 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 34 35 3c 2f 54 44 ><TD.ALIGN="RIGHT".NOWRAP>45</TD
123980 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 35 38 2e 31 36 >.<TD.ALIGN="RIGHT".NOWRAP>58.16
1239a0 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 35 </TD>.<TD.ALIGN="RIGHT".NOWRAP>5
1239c0 38 2e 31 38 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 8.18</TD>.<TD.ALIGN="RIGHT".NOWR
1239e0 41 50 3e 35 38 2e 31 36 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 AP>58.16</TD>.</TR>.<TR.VALIGN="
123a00 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 35 30 TOP"><TD.ALIGN="RIGHT".NOWRAP>50
123a20 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 36 </TD>.<TD.ALIGN="RIGHT".NOWRAP>6
123a40 39 2e 32 38 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 9.28</TD>.<TD.ALIGN="RIGHT".NOWR
123a60 41 50 3e 36 39 2e 33 30 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 AP>69.30</TD>.<TD.ALIGN="RIGHT".
123a80 4e 4f 57 52 41 50 3e 36 39 2e 32 37 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 NOWRAP>69.27</TD>.</TR>.<TR.VALI
123aa0 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 GN="TOP"><TD.ALIGN="RIGHT".NOWRA
123ac0 50 3e 35 35 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 P>55</TD>.<TD.ALIGN="RIGHT".NOWR
123ae0 41 50 3e 38 32 2e 39 37 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 AP>82.97</TD>.<TD.ALIGN="RIGHT".
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1245c0 20 43 72 61 6e 65 20 28 31 39 37 36 29 2c 20 65 78 70 72 65 73 73 69 6f 6e 20 32 2e 35 2e 35 2e .Crane.(1976),.expression.2.5.5.
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124ae0 0a 3c 49 3e 4d 65 74 68 6f 64 73 20 6f 66 20 45 78 70 65 72 69 6d 65 6e 74 61 6c 20 50 68 79 73 .<I>Methods.of.Experimental.Phys
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124b40 2e 0a 3c 44 44 3e 47 69 6c 6c 2c 20 41 64 72 69 61 6e 20 45 2e 2c 20 3c 49 3e 41 74 6d 6f 73 70 ..<DD>Gill,.Adrian.E.,.<I>Atmosp
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125ce0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 64 20 7a 65 6e ALIGN="LEFT".NOWRAP>observed.zen
125d00 69 74 68 20 64 69 73 74 61 6e 63 65 20 6f 66 20 74 68 65 20 73 6f 75 72 63 65 20 28 72 61 64 69 ith.distance.of.the.source.(radi
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125d40 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 48 4d 3c 2f 45 4d 3e 3c 2f 54 ><TD.ALIGN="LEFT"><EM>HM</EM></T
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125d80 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 68 65 69 67 68 74 >.<TD.ALIGN="LEFT".NOWRAP>height
125da0 20 6f 66 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 61 62 6f 76 65 20 73 65 61 20 6c 65 76 65 6c .of.the.observer.above.sea.level
125dc0 20 28 6d 65 74 72 65 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 .(metre)</TD>.</TR>.<TR.VALIGN="
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125e20 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 61 ></TD>.<TD.ALIGN="LEFT".NOWRAP>a
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125e80 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
125ea0 50 4d 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c PMB</EM></TD>.<TD.ALIGN="LEFT"><
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125ee0 57 52 41 50 3e 70 72 65 73 73 75 72 65 20 61 74 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 28 6d WRAP>pressure.at.the.observer.(m
125f00 42 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c B)</TD>.</TR>.<TR.VALIGN="TOP"><
125f20 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e TD.ALIGN="LEFT"><EM>RH</EM></TD>
125f40 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>D</B></TD>.
125f60 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 6c 61 74 69 76 65 <TD.ALIGN="LEFT".NOWRAP>relative
125f80 20 68 75 6d 69 64 69 74 79 20 61 74 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 28 72 61 6e 67 65 .humidity.at.the.observer.(range
125fa0 20 30 2d 31 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 .0-1)</TD>.</TR>.<TR.VALIGN="TOP
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125fe0 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 TD>.<TD.ALIGN="LEFT"><B>D</B></T
126000 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 66 66 65 63 D>.<TD.ALIGN="LEFT".NOWRAP>effec
126020 74 69 76 65 20 77 61 76 65 6c 65 6e 67 74 68 20 6f 66 20 74 68 65 20 73 6f 75 72 63 65 20 28 3c tive.wavelength.of.the.source.(<
126040 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e IMG.WIDTH="26".HEIGHT="25".ALIGN
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1260a0 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
1260c0 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 48 49 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 N="LEFT"><EM>PHI</EM></TD>.<TD.A
1260e0 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c LIGN="LEFT"><B>D</B></TD>.<TD.AL
126100 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 61 74 69 74 75 64 65 20 6f 66 20 74 68 IGN="LEFT".NOWRAP>latitude.of.th
126120 65 20 6f 62 73 65 72 76 65 72 20 28 72 61 64 69 61 6e 2c 20 61 73 74 72 6f 6e 6f 6d 69 63 61 6c e.observer.(radian,.astronomical
126140 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
126160 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 54 4c 52 3c 2f 45 4d 3e 3c 2f 54 44 3e D.ALIGN="LEFT"><EM>TLR</EM></TD>
126180 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>D</B></TD>.
1261a0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 74 65 6d 70 65 72 61 74 <TD.ALIGN="LEFT".NOWRAP>temperat
1261c0 75 72 65 20 6c 61 70 73 65 20 72 61 74 65 20 69 6e 20 74 68 65 20 74 72 6f 70 6f 73 70 68 65 72 ure.lapse.rate.in.the.tropospher
1261e0 65 0a 28 64 65 67 72 65 65 73 20 4b 20 70 65 72 20 6d 65 74 72 65 29 3c 2f 54 44 3e 0a 3c 2f 54 e.(degrees.K.per.metre)</TD>.</T
126200 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c R>.<TR.VALIGN="TOP"><TD.ALIGN="L
126220 45 46 54 22 3e 3c 45 4d 3e 45 50 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e EFT"><EM>EPS</EM></TD>.<TD.ALIGN
126240 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d ="LEFT"><B>D</B></TD>.<TD.ALIGN=
126260 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 72 65 63 69 73 69 6f 6e 20 72 65 71 75 69 72 65 64 "LEFT".NOWRAP>precision.required
126280 20 74 6f 20 74 65 72 6d 69 6e 61 74 65 20 69 74 65 72 61 74 69 6f 6e 20 28 72 61 64 69 61 6e 29 .to.terminate.iteration.(radian)
1262a0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 </TD>.</TR>.</TABLE></DL>.<P>...
1262c0 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 ..<DL>.<DT><STRONG>RETURNED:</ST
1262e0 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 RONG>.<DD>.<BR>.<TABLE.CELLPADDI
126300 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e NG=3>.<TR.VALIGN="TOP"><TD.ALIGN
126320 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 45 46 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c ="LEFT"><EM>REF</EM></TD>.<TH.AL
126340 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 48 20 41 4c 49 IGN="LEFT"><B>D</B></TH>.<TH.ALI
126360 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 66 72 61 63 74 69 6f 6e 3a 20 3c 49 3e GN="LEFT".NOWRAP>refraction:.<I>
126380 69 6e 20 76 61 63 75 6f 3c 2f 49 3e 20 5a 44 20 6d 69 6e 75 73 20 6f 62 73 65 72 76 65 64 20 5a in.vacuo</I>.ZD.minus.observed.Z
1263a0 44 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 48 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c D.(radians)</TH>.</TR>.</TABLE><
1263c0 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e /DL>.<P>......<DL>.<DT><STRONG>N
1263e0 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a OTES:</STRONG>.<DD><DL.COMPACT>.
126400 3c 44 54 3e 31 2e 0a 3c 44 44 3e 41 20 73 75 67 67 65 73 74 65 64 20 76 61 6c 75 65 20 66 6f 72 <DT>1..<DD>A.suggested.value.for
126420 20 74 68 65 20 54 4c 52 20 61 72 67 75 6d 65 6e 74 20 69 73 20 30 2e 30 30 36 35 44 30 2e 20 20 .the.TLR.argument.is.0.0065D0...
126440 54 68 65 0a 72 65 66 72 61 63 74 69 6f 6e 20 69 73 20 73 69 67 6e 69 66 69 63 61 6e 74 6c 79 20 The.refraction.is.significantly.
126460 61 66 66 65 63 74 65 64 20 62 79 20 54 4c 52 2c 20 61 6e 64 20 69 66 20 73 74 75 64 69 65 73 0a affected.by.TLR,.and.if.studies.
126480 6f 66 20 74 68 65 20 6c 6f 63 61 6c 20 61 74 6d 6f 73 70 68 65 72 65 20 68 61 76 65 20 62 65 65 of.the.local.atmosphere.have.bee
1264a0 6e 20 63 61 72 72 69 65 64 20 6f 75 74 20 61 20 62 65 74 74 65 72 20 54 4c 52 0a 20 20 20 20 20 n.carried.out.a.better.TLR......
1264c0 20 20 20 76 61 6c 75 65 20 6d 61 79 20 62 65 20 61 76 61 69 6c 61 62 6c 65 2e 0a 20 20 3c 44 54 ...value.may.be.available....<DT
1264e0 3e 32 2e 0a 3c 44 44 3e 41 20 73 75 67 67 65 73 74 65 64 20 76 61 6c 75 65 20 66 6f 72 20 74 68 >2..<DD>A.suggested.value.for.th
126500 65 20 45 50 53 20 61 72 67 75 6d 65 6e 74 20 69 73 20 31 44 2d 38 2e 20 20 54 68 65 20 72 65 73 e.EPS.argument.is.1D-8...The.res
126520 75 6c 74 20 69 73 0a 20 20 20 20 20 20 20 20 75 73 75 61 6c 6c 79 20 61 74 20 6c 65 61 73 74 20 ult.is.........usually.at.least.
126540 74 77 6f 20 6f 72 64 65 72 73 20 6f 66 20 6d 61 67 6e 69 74 75 64 65 20 6d 6f 72 65 20 63 6f 6d two.orders.of.magnitude.more.com
126560 70 75 74 61 74 69 6f 6e 61 6c 6c 79 0a 20 20 20 20 20 20 20 20 70 72 65 63 69 73 65 20 74 68 61 putationally.........precise.tha
126580 6e 20 74 68 65 20 73 75 70 70 6c 69 65 64 20 45 50 53 20 76 61 6c 75 65 2e 0a 20 20 3c 44 54 3e n.the.supplied.EPS.value....<DT>
1265a0 33 2e 0a 3c 44 44 3e 54 68 65 20 72 6f 75 74 69 6e 65 20 63 6f 6d 70 75 74 65 73 20 74 68 65 20 3..<DD>The.routine.computes.the.
1265c0 72 65 66 72 61 63 74 69 6f 6e 20 66 6f 72 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 73 20 refraction.for.zenith.distances.
1265e0 75 70 0a 20 20 20 20 20 20 20 20 74 6f 20 61 6e 64 20 61 20 6c 69 74 74 6c 65 20 62 65 79 6f 6e up.........to.and.a.little.beyon
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126660 69 6e 67 20 74 68 65 20 6d 65 74 68 6f 64 20 6f 66 20 48 6f 68 65 6e 6b 65 72 6b 0a 20 20 20 20 ing.the.method.of.Hohenkerk.....
126680 20 20 20 20 26 61 6d 70 3b 20 53 69 6e 63 6c 61 69 72 20 28 4e 41 4f 20 54 65 63 68 6e 69 63 61 ....&amp;.Sinclair.(NAO.Technica
1266a0 6c 20 4e 6f 74 65 73 20 35 39 20 61 6e 64 20 36 33 2c 20 73 75 62 73 65 71 75 65 6e 74 6c 79 20 l.Notes.59.and.63,.subsequently.
1266c0 61 64 6f 70 74 65 64 0a 20 20 20 20 20 20 20 20 69 6e 20 74 68 65 20 3c 49 3e 45 78 70 6c 61 6e adopted.........in.the.<I>Explan
1266e0 61 74 6f 72 79 20 53 75 70 70 6c 65 6d 65 6e 74 20 74 6f 20 74 68 65 20 41 73 74 72 6f 6e 6f 6d atory.Supplement.to.the.Astronom
126700 69 63 61 6c 20 41 6c 6d 61 6e 61 63 2c 3c 2f 49 3e 0a 20 20 20 20 20 20 20 20 31 39 39 32 20 2d ical.Almanac,</I>.........1992.-
126720 20 73 65 65 20 73 65 63 74 69 6f 6e 20 33 2e 32 38 31 29 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 .see.section.3.281)....<DT>4..<D
126740 44 3e 54 68 65 20 63 6f 64 65 20 69 73 20 62 61 73 65 64 20 6f 6e 20 74 68 65 20 41 52 45 46 20 D>The.code.is.based.on.the.AREF.
126760 6f 70 74 69 63 61 6c 2f 49 52 20 72 65 66 72 61 63 74 69 6f 6e 20 73 75 62 72 6f 75 74 69 6e 65 optical/IR.refraction.subroutine
126780 0a 20 20 20 20 20 20 20 20 6f 66 20 43 2e 48 6f 68 65 6e 6b 65 72 6b 20 28 48 4d 4e 41 4f 2c 20 .........of.C.Hohenkerk.(HMNAO,.
1267a0 53 65 70 74 65 6d 62 65 72 20 31 39 38 34 29 2c 20 77 69 74 68 20 65 78 74 65 6e 73 69 6f 6e 73 September.1984),.with.extensions
1267c0 20 74 6f 0a 20 20 20 20 20 20 20 20 73 75 70 70 6f 72 74 20 74 68 65 20 72 61 64 69 6f 20 63 61 .to.........support.the.radio.ca
1267e0 73 65 2e 20 20 54 68 65 20 6d 6f 64 69 66 69 63 61 74 69 6f 6e 73 20 74 6f 20 74 68 65 20 6f 72 se...The.modifications.to.the.or
126800 69 67 69 6e 61 6c 20 48 4d 4e 41 4f 0a 20 20 20 20 20 20 20 20 6f 70 74 69 63 61 6c 2f 49 52 20 iginal.HMNAO.........optical/IR.
126820 72 65 66 72 61 63 74 69 6f 6e 20 63 6f 64 65 20 77 68 69 63 68 20 61 66 66 65 63 74 20 74 68 65 refraction.code.which.affect.the
126840 20 72 65 73 75 6c 74 73 20 61 72 65 3a 0a 20 20 20 20 20 20 20 20 3c 55 4c 3e 0a 3c 4c 49 3e 20 .results.are:.........<UL>.<LI>.
126860 4d 75 72 72 61 79 27 73 20 76 61 6c 75 65 73 20 66 6f 72 20 74 68 65 20 67 61 73 20 63 6f 6e 73 Murray's.values.for.the.gas.cons
126880 74 61 6e 74 73 20 68 61 76 65 20 62 65 65 6e 20 75 73 65 64 0a 20 20 20 20 20 20 20 20 20 20 20 tants.have.been.used............
1268a0 20 20 20 20 28 3c 49 3e 56 65 63 74 6f 72 69 61 6c 20 41 73 74 72 6f 6d 65 74 72 79 2c 3c 2f 49 ....(<I>Vectorial.Astrometry,</I
1268c0 3e 20 41 64 61 6d 20 48 69 6c 67 65 72 2c 20 31 39 38 33 29 2e 0a 3c 4c 49 3e 20 41 20 62 65 74 >.Adam.Hilger,.1983)..<LI>.A.bet
1268e0 74 65 72 20 6d 6f 64 65 6c 20 66 6f 72 20 3c 49 3e 50 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 73 3c ter.model.for.<I>P</I><SUB><I>s<
126900 2f 49 3e 3c 2f 53 55 42 3e 28 3c 49 3e 54 3c 2f 49 3e 29 20 68 61 73 20 62 65 65 6e 20 61 64 6f /I></SUB>(<I>T</I>).has.been.ado
126920 70 74 65 64 20 28 74 61 6b 65 6e 20 66 72 6f 6d 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 pted.(taken.from................
126940 47 69 6c 6c 2c 20 3c 49 3e 41 74 6d 6f 73 70 68 65 72 65 2d 4f 63 65 61 6e 20 44 79 6e 61 6d 69 Gill,.<I>Atmosphere-Ocean.Dynami
126960 63 73 2c 3c 2f 49 3e 20 41 63 61 64 65 6d 69 63 20 50 72 65 73 73 2c 20 31 39 38 32 29 2e 0a 3c cs,</I>.Academic.Press,.1982)..<
126980 4c 49 3e 20 4d 6f 72 65 20 61 63 63 75 72 61 74 65 20 65 78 70 72 65 73 73 69 6f 6e 73 20 66 6f LI>.More.accurate.expressions.fo
1269a0 72 20 3c 49 3e 50 77 3c 2f 49 3e 3c 53 55 42 3e 3c 49 3e 6f 3c 2f 49 3e 3c 2f 53 55 42 3e 20 68 r.<I>Pw</I><SUB><I>o</I></SUB>.h
1269c0 61 76 65 20 62 65 65 6e 20 61 64 6f 70 74 65 64 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ave.been.adopted................
1269e0 28 61 67 61 69 6e 20 66 72 6f 6d 20 47 69 6c 6c 20 31 39 38 32 29 2e 0a 3c 4c 49 3e 20 50 72 6f (again.from.Gill.1982)..<LI>.Pro
126a00 76 69 73 69 6f 6e 20 66 6f 72 20 72 61 64 69 6f 20 77 61 76 65 6c 65 6e 67 74 68 73 20 68 61 73 vision.for.radio.wavelengths.has
126a20 20 62 65 65 6e 20 61 64 64 65 64 20 75 73 69 6e 67 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .been.added.using...............
126a40 20 65 78 70 72 65 73 73 69 6f 6e 73 20 64 65 76 69 73 65 64 20 62 79 20 41 2e 54 2e 53 69 6e 63 .expressions.devised.by.A.T.Sinc
126a60 6c 61 69 72 2c 20 52 47 4f 20 28 70 72 69 76 61 74 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 lair,.RGO.(private..............
126a80 20 20 63 6f 6d 6d 75 6e 69 63 61 74 69 6f 6e 20 31 39 38 39 29 2c 20 62 61 73 65 64 20 6f 6e 20 ..communication.1989),.based.on.
126aa0 74 68 65 20 45 73 73 65 6e 20 26 61 6d 70 3b 20 46 72 6f 6f 6d 65 0a 20 20 20 20 20 20 20 20 20 the.Essen.&amp;.Froome..........
126ac0 20 20 20 20 20 20 72 65 66 72 61 63 74 69 76 69 74 79 20 66 6f 72 6d 75 6c 61 20 61 64 6f 70 74 ......refractivity.formula.adopt
126ae0 65 64 20 69 6e 20 52 65 73 6f 6c 75 74 69 6f 6e 26 6e 62 73 70 3b 31 20 6f 66 20 74 68 65 0a 20 ed.in.Resolution&nbsp;1.of.the..
126b00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 31 32 74 68 20 49 6e 74 65 72 6e 61 74 69 6f 6e 61 6c ..............12th.International
126b20 20 47 65 6f 64 65 73 79 20 41 73 73 6f 63 69 61 74 69 6f 6e 20 47 65 6e 65 72 61 6c 20 41 73 73 .Geodesy.Association.General.Ass
126b40 65 6d 62 6c 79 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 28 42 75 6c 6c 65 74 69 6e 20 47 embly................(Bulletin.G
126b60 26 23 32 33 33 3b 6f 64 26 23 32 33 33 3b 73 69 71 75 65 20 3c 42 3e 37 30 3c 2f 42 3e 20 70 33 &#233;od&#233;sique.<B>70</B>.p3
126b80 39 30 2c 20 31 39 36 33 29 2e 0a 20 20 20 20 20 20 20 20 3c 2f 55 4c 3e 0a 20 20 20 20 20 20 20 90,.1963)..........</UL>........
126ba0 20 4e 6f 6e 65 20 6f 66 20 74 68 65 20 63 68 61 6e 67 65 73 20 73 69 67 6e 69 66 69 63 61 6e 74 .None.of.the.changes.significant
126bc0 6c 79 20 61 66 66 65 63 74 73 20 74 68 65 20 6f 70 74 69 63 61 6c 2f 49 52 20 72 65 73 75 6c 74 ly.affects.the.optical/IR.result
126be0 73 0a 20 20 20 20 20 20 20 20 77 69 74 68 20 72 65 73 70 65 63 74 20 74 6f 20 74 68 65 20 61 6c s.........with.respect.to.the.al
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126c40 20 20 46 6f 72 20 65 78 61 6d 70 6c 65 2c 20 61 74 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 ..For.example,.at.<IMG.WIDTH="26
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128100 00 75 73 74 61 72 00 30 30 70 74 77 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .ustar.00ptw....................
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128c20 24 5b 5c 2c 41 7a 2c 45 6c 7e 5d 24 22 3e 20 33 2d 76 65 63 74 6f 72 29 3c 2f 54 44 3e 0a 3c 2f $[\,Az,El~]$">.3-vector)</TD>.</
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128d00 74 61 6e 20 5c 7a 65 74 61 24 22 3e 20 63 6f 65 66 66 69 63 69 65 6e 74 20 28 72 61 64 69 61 6e tan.\zeta$">.coefficient.(radian
128d20 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c s)</TD>.</TR>.<TR.VALIGN="TOP"><
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128e00 69 63 69 65 6e 74 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 icient.(radians)</TD>.</TR>.</TA
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128e40 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a NG>RETURNED:</STRONG>.<DD>.<BR>.
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128ee0 72 65 66 72 61 63 74 65 64 20 70 6f 73 69 74 69 6f 6e 20 6f 66 20 74 68 65 20 73 6f 75 72 63 65 refracted.position.of.the.source
128f00 20 28 3c 49 4d 47 20 57 49 44 54 48 3d 22 36 36 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c .(<IMG.WIDTH="66".HEIGHT="29".AL
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128f80 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 .<P>......<DL>.<DT><STRONG>NOTES
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128fc0 31 2e 0a 3c 44 44 3e 54 68 69 73 20 72 6f 75 74 69 6e 65 20 61 70 70 6c 69 65 73 20 74 68 65 20 1..<DD>This.routine.applies.the.
128fe0 61 64 6a 75 73 74 6d 65 6e 74 20 66 6f 72 20 72 65 66 72 61 63 74 69 6f 6e 20 69 6e 20 74 68 65 adjustment.for.refraction.in.the
129000 0a 6f 70 70 6f 73 69 74 65 20 73 65 6e 73 65 20 74 6f 20 74 68 65 20 75 73 75 61 6c 20 6f 6e 65 .opposite.sense.to.the.usual.one
129020 20 2d 20 69 74 20 74 61 6b 65 73 20 61 6e 20 75 6e 72 65 66 72 61 63 74 65 64 0a 28 3c 49 3e 69 .-.it.takes.an.unrefracted.(<I>i
129040 6e 20 76 61 63 75 6f 3c 2f 49 3e 29 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 70 72 6f 64 75 63 n.vacuo</I>).position.and.produc
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129080 20 20 20 70 6f 73 69 74 69 6f 6e 2c 20 77 68 65 72 65 61 73 20 74 68 65 0a 20 20 20 20 20 20 20 ...position,.whereas.the........
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129120 22 3e 20 20 20 20 20 20 20 20 6d 6f 64 65 6c 20 73 74 72 69 63 74 6c 79 0a 20 20 20 20 20 20 20 ">........model.strictly........
129140 20 61 70 70 6c 69 65 73 20 74 6f 20 74 68 65 20 63 61 73 65 20 77 68 65 72 65 20 61 6e 20 6f 62 .applies.to.the.case.where.an.ob
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129180 20 20 20 20 20 20 20 72 65 66 72 61 63 74 69 6f 6e 20 72 65 6d 6f 76 65 64 2e 20 20 54 68 65 20 .......refraction.removed...The.
1291a0 75 6e 72 65 66 72 61 63 74 65 64 20 74 6f 20 72 65 66 72 61 63 74 65 64 20 63 61 73 65 20 69 73 unrefracted.to.refracted.case.is
1291c0 0a 20 20 20 20 20 20 20 20 68 61 72 64 65 72 2c 20 61 6e 64 20 72 65 71 75 69 72 65 73 20 61 6e .........harder,.and.requires.an
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129200 20 20 20 20 20 20 20 20 72 65 66 72 61 63 74 69 6f 6e 20 6d 6f 64 65 6c 73 3b 20 20 74 68 65 20 ........refraction.models;..the.
129220 61 6c 67 6f 72 69 74 68 6d 20 75 73 65 64 20 68 65 72 65 20 69 73 20 65 71 75 69 76 61 6c 65 6e algorithm.used.here.is.equivalen
129240 74 20 74 6f 0a 20 20 20 20 20 20 20 20 6f 6e 65 20 69 74 65 72 61 74 69 6f 6e 20 6f 66 20 74 68 t.to.........one.iteration.of.th
129260 65 20 4e 65 77 74 6f 6e 2d 52 61 70 68 73 6f 6e 20 6d 65 74 68 6f 64 20 61 70 70 6c 69 65 64 20 e.Newton-Raphson.method.applied.
129280 74 6f 20 74 68 65 0a 20 20 20 20 20 20 20 20 61 62 6f 76 65 20 66 6f 72 6d 75 6c 61 2e 0a 20 20 to.the.........above.formula....
1292a0 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 6f 75 67 68 20 6f 70 74 69 6d 69 7a 65 64 20 66 6f 72 20 <DT>2..<DD>Though.optimized.for.
1292c0 73 70 65 65 64 20 72 61 74 68 65 72 20 74 68 61 6e 20 70 72 65 63 69 73 69 6f 6e 2c 20 74 68 65 speed.rather.than.precision,.the
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1293c0 20 6d 6f 64 65 6c 20 61 74 20 62 65 74 74 65 72 20 74 68 61 6e 20 31 26 6e 62 73 70 3b 6d 69 63 .model.at.better.than.1&nbsp;mic
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129540 68 61 6e 20 74 68 69 73 20 2d 20 73 65 65 20 74 68 65 20 64 6f 63 75 6d 65 6e 74 61 74 69 6f 6e han.this.-.see.the.documentation
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12bba0 3e 0a 3c 44 44 3e 41 64 6a 75 73 74 20 61 6e 20 75 6e 72 65 66 72 61 63 74 65 64 20 7a 65 6e 69 >.<DD>Adjust.an.unrefracted.zeni
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12bd00 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e >.<P>.....<DL>.<DT><STRONG>GIVEN
12bd20 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c :</STRONG>.<DD>.<BR>.<TABLE.CELL
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12bd60 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 5a 55 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 ALIGN="LEFT"><EM>ZU</EM></TD>.<T
12bd80 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 H.ALIGN="LEFT"><B>D</B></TH>.<TD
12bda0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 75 6e 72 65 66 72 61 63 74 65 64 .ALIGN="LEFT".NOWRAP>unrefracted
12bdc0 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 6f 66 20 74 68 65 20 73 6f 75 72 63 65 20 28 .zenith.distance.of.the.source.(
12bde0 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 radians)</TD>.</TR>.<TR.VALIGN="
12be00 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 45 46 41 3c 2f TOP"><TD.ALIGN="LEFT"><EM>REFA</
12be20 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f EM></TD>.<TD.ALIGN="LEFT"><B>D</
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12bea0 35 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 74 61 6e 20 5c 7a 65 74 61 24 22 3e 20 63 6f 65 51.gif"..ALT="$\tan.\zeta$">.coe
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12bf00 3c 45 4d 3e 52 45 46 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 <EM>REFB</EM></TD>.<TD.ALIGN="LE
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12bf60 3d 22 33 31 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="31".ALIGN="MIDDLE".BORDER="0".
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12bfa0 7d 20 5c 7a 65 74 61 24 22 3e 20 63 6f 65 66 66 69 63 69 65 6e 74 20 28 72 61 64 69 61 6e 73 29 }.\zeta$">.coefficient.(radians)
12bfc0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 </TD>.</TR>.</TABLE></DL>.<P>...
12bfe0 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 ..<DL>.<DT><STRONG>RETURNED:</ST
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12c080 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 66 72 61 63 74 65 64 20 7a 65 6e 69 74 68 N="LEFT".NOWRAP>refracted.zenith
12c0a0 20 64 69 73 74 61 6e 63 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c .distance.(radians)</TD>.</TR>.<
12c0c0 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c /TABLE></DL>.<P>......<DL>.<DT><
12c0e0 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 STRONG>NOTES:</STRONG>.<DD><DL.C
12c100 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 69 73 20 72 6f 75 74 69 6e 65 20 OMPACT>.<DT>1..<DD>This.routine.
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12edc0 6f 63 69 74 69 65 73 20 61 6e 64 20 61 63 63 65 6c 65 72 61 74 69 6f 6e 73 20 66 6f 72 20 61 6e ocities.and.accelerations.for.an
12ede0 20 61 6c 74 61 7a 69 6d 75 74 68 0a 74 65 6c 65 73 63 6f 70 65 20 6d 6f 75 6e 74 20 74 72 61 63 .altazimuth.telescope.mount.trac
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12ee20 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 <P>....<DT><STRONG>CALL:</STRONG
12ee40 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 41 4c 54 41 5a 20 28 0a 20 20 20 20 20 >.<DD><TT>CALL.sla_ALTAZ.(......
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12efa0 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 45 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c ="LEFT"><EM>DEC</EM></TD>.<TD.AL
12efc0 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 IGN="LEFT"><B>D</B></TD>.<TD.ALI
12efe0 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 64 65 63 6c 69 6e 61 74 69 6f 6e 3c 2f 54 44 GN="LEFT".NOWRAP>declination</TD
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12f040 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 ALIGN="LEFT"><B>D</B></TD>.<TD.A
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12f0c0 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 ED:</STRONG>.<DD>.<BR>.<TABLE.CE
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12f120 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c <TH.ALIGN="LEFT"><B>D</B></TH>.<
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12f180 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 5a 44 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 LIGN="LEFT"><EM>AZD</EM></TD>.<T
12f1a0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 D.ALIGN="LEFT"><B>D</B></TD>.<TD
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12f220 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c </TD>.<TD.ALIGN="LEFT"><B>D</B><
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12f2c0 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>D</B></TD>.<TD.ALIGN="LEFT".
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12f340 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>D</B></TD>.<TD.ALIGN="LEFT".
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1316c0 63 79 3a 20 74 68 65 20 73 69 6d 70 6c 65 20 61 6c 67 6f 72 69 74 68 6d 20 75 73 65 64 20 61 73 cy:.the.simple.algorithm.used.as
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131720 6c 65 76 65 6c 3b 20 20 66 6f 72 20 61 63 74 75 61 6c 20 6f 62 73 65 72 76 69 6e 67 0a 20 20 20 level;..for.actual.observing....
131740 20 20 20 20 20 73 69 74 65 73 2c 20 74 68 65 20 65 72 72 6f 72 20 69 73 20 75 6e 6c 69 6b 65 6c .....sites,.the.error.is.unlikel
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1317a0 20 46 6f 72 20 61 70 70 6c 69 63 61 74 69 6f 6e 73 20 72 65 71 75 69 72 69 6e 67 20 67 72 65 61 .For.applications.requiring.grea
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1325e0 6f 72 72 6e 20 74 6f 20 4c 6f 63 61 6c 20 47 72 6f 75 70 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e orrn.to.Local.Group</A>.<BR>.<B>
132600 55 70 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 31 33 35 22 20 48 Up:</B>.<A.NAME="tex2html2135".H
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1326a0 56 20 43 6f 72 72 6e 20 74 6f 20 45 61 72 74 68 20 43 65 6e 74 72 65 3c 2f 41 3e 0a 3c 42 52 3e V.Corrn.to.Earth.Centre</A>.<BR>
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132740 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 65 66 5f 53 4c 41 5f 52 56 47 41 4c 43 22 3e 26 </A>.<A.NAME="xref_SLA_RVGALC">&
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1327a0 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 56 65 6c 6f STRONG>ACTION:</STRONG>.<DD>Velo
1327c0 63 69 74 79 20 63 6f 6d 70 6f 6e 65 6e 74 20 69 6e 20 61 20 67 69 76 65 6e 20 64 69 72 65 63 74 city.component.in.a.given.direct
1327e0 69 6f 6e 20 64 75 65 20 74 6f 20 74 68 65 20 72 6f 74 61 74 69 6f 6e 0a 6f 66 20 74 68 65 20 47 ion.due.to.the.rotation.of.the.G
132800 61 6c 61 78 79 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c alaxy..<P>....<DT><STRONG>CALL:<
132820 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 /STRONG>.<DD><TT>R&nbsp;=&nbsp;s
132840 6c 61 5f 52 56 47 41 4c 43 20 28 52 32 30 30 30 2c 20 44 32 30 30 30 29 3c 2f 54 54 3e 0a 3c 50 la_RVGALC.(R2000,.D2000)</TT>.<P
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132880 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e STRONG>GIVEN:</STRONG>.<DD>.<BR>
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132d00 33 2e 0a 3c 44 44 3e 54 68 65 20 64 79 6e 61 6d 69 63 61 6c 20 4c 53 52 20 76 65 6c 6f 63 69 74 3..<DD>The.dynamical.LSR.velocit
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135520 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 ......<DL>.<DT><STRONG>NOTES:</S
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1355c0 73 6b 79 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 4c 6f 63 61 6c 20 53 74 61 6e 64 61 sky..<DT>2..<DD>The.Local.Standa
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136940 20 4c 53 52 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 65 66 5f 53 4c 41 5f 52 56 4c 53 52 .LSR</A>.<A.NAME="xref_SLA_RVLSR
136960 4b 22 3e 26 23 31 36 30 3b 3c 2f 41 3e 3c 41 20 4e 41 4d 45 3d 22 53 4c 41 5f 52 56 4c 53 52 4b K">&#160;</A><A.NAME="SLA_RVLSRK
136980 22 3e 26 23 31 36 30 3b 3c 2f 41 3e 0a 3c 2f 48 32 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c ">&#160;</A>.</H2>........<DL>.<
1369a0 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e DT><STRONG>ACTION:</STRONG>.<DD>
1369c0 56 65 6c 6f 63 69 74 79 20 63 6f 6d 70 6f 6e 65 6e 74 20 69 6e 20 61 20 67 69 76 65 6e 20 64 69 Velocity.component.in.a.given.di
1369e0 72 65 63 74 69 6f 6e 20 64 75 65 20 74 6f 20 74 68 65 20 53 75 6e 27 73 0a 6d 6f 74 69 6f 6e 20 rection.due.to.the.Sun's.motion.
136a00 77 69 74 68 20 72 65 73 70 65 63 74 20 74 6f 20 61 20 6b 69 6e 65 6d 61 74 69 63 61 6c 20 4c 6f with.respect.to.a.kinematical.Lo
136a20 63 61 6c 20 53 74 61 6e 64 61 72 64 20 6f 66 20 52 65 73 74 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 cal.Standard.of.Rest..<P>....<DT
136a40 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e ><STRONG>CALL:</STRONG>.<DD><TT>
136a60 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 56 4c 53 52 4b 20 28 52 32 30 30 30 2c R&nbsp;=&nbsp;sla_RVLSRK.(R2000,
136a80 20 44 32 30 30 30 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e .D2000)</TT>.<P>.......</DL>.<P>
136aa0 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 .....<DL>.<DT><STRONG>GIVEN:</ST
136ac0 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 RONG>.<DD>.<BR>.<TABLE.CELLPADDI
136ae0 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e NG=3>.<TR.VALIGN="TOP"><TD.ALIGN
136b00 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 32 30 30 30 2c 44 32 30 30 30 3c 2f 45 4d 3e 3c 2f 54 44 ="LEFT"><EM>R2000,D2000</EM></TD
136b20 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 48 3e >.<TH.ALIGN="LEFT"><B>R</B></TH>
136b40 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4a 32 30 30 30 2e 30 .<TD.ALIGN="LEFT".NOWRAP>J2000.0
136b60 20 6d 65 61 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 .mean.<IMG.WIDTH="42".HEIGHT="29
136b80 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 ".ALIGN="MIDDLE".BORDER="0"..SRC
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136bc0 6c 74 61 5c 2c 5d 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c lta\,]$">.(radians)</TD>.</TR>.<
136be0 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 /TABLE></DL>.<P>.....<DL>.<DT><S
136c00 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 TRONG>RETURNED:</STRONG>.<DD>.<B
136c20 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c R>.<TABLE.CELLPADDING=3>.<TR.VAL
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136c60 6c 61 5f 52 56 4c 53 52 4b 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c la_RVLSRK</EM></TD>.<TH.ALIGN="L
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136ca0 46 54 22 20 4e 4f 57 52 41 50 3e 43 6f 6d 70 6f 6e 65 6e 74 20 6f 66 20 3c 49 3e 73 74 61 6e 64 FT".NOWRAP>Component.of.<I>stand
136cc0 61 72 64 3c 2f 49 3e 20 73 6f 6c 61 72 20 6d 6f 74 69 6f 6e 0a 69 6e 20 64 69 72 65 63 74 69 6f ard</I>.solar.motion.in.directio
136ce0 6e 20 52 32 30 30 30 2c 44 32 30 30 30 20 28 6b 6d 26 6e 62 73 70 3b 73 3c 53 55 50 3e 2d 31 3c n.R2000,D2000.(km&nbsp;s<SUP>-1<
136d00 2f 53 55 50 3e 29 3c 2f 54 48 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a /SUP>)</TH>.</TR>.</TABLE></DL>.
136d20 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a <P>......<DL>.<DT><STRONG>NOTES:
136d40 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 </STRONG>.<DD><DL.COMPACT>.<DT>1
136d60 2e 0a 3c 44 44 3e 53 69 67 6e 20 63 6f 6e 76 65 6e 74 69 6f 6e 3a 20 74 68 65 20 72 65 73 75 6c ..<DD>Sign.convention:.the.resul
136d80 74 20 69 73 20 70 6f 73 69 74 69 76 65 20 77 68 65 6e 0a 74 68 65 20 53 75 6e 20 69 73 20 72 65 t.is.positive.when.the.Sun.is.re
136da0 63 65 64 69 6e 67 20 66 72 6f 6d 20 74 68 65 20 67 69 76 65 6e 20 70 6f 69 6e 74 20 6f 6e 20 74 ceding.from.the.given.point.on.t
136dc0 68 65 20 73 6b 79 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 4c 6f 63 61 6c 20 53 74 61 he.sky..<DT>2..<DD>The.Local.Sta
136de0 6e 64 61 72 64 20 6f 66 20 52 65 73 74 20 75 73 65 64 20 68 65 72 65 20 69 73 20 6f 6e 65 20 6f ndard.of.Rest.used.here.is.one.o
136e00 66 20 73 65 76 65 72 61 6c 0a 20 20 20 20 20 20 20 20 3c 49 3e 6b 69 6e 65 6d 61 74 69 63 61 6c f.several.........<I>kinematical
136e20 3c 2f 49 3e 20 4c 53 52 73 20 69 6e 20 63 6f 6d 6d 6f 6e 20 75 73 65 2e 20 20 41 20 6b 69 6e 65 </I>.LSRs.in.common.use...A.kine
136e40 6d 61 74 69 63 61 6c 20 4c 53 52 20 69 73 20 74 68 65 0a 20 20 20 20 20 20 20 20 6d 65 61 6e 20 matical.LSR.is.the.........mean.
136e60 73 74 61 6e 64 61 72 64 20 6f 66 20 72 65 73 74 20 6f 66 20 73 70 65 63 69 66 69 65 64 20 73 74 standard.of.rest.of.specified.st
136e80 61 72 20 63 61 74 61 6c 6f 67 75 65 73 20 6f 72 20 73 74 65 6c 6c 61 72 0a 20 20 20 20 20 20 20 ar.catalogues.or.stellar........
136ea0 20 70 6f 70 75 6c 61 74 69 6f 6e 73 2e 20 20 54 68 65 20 53 75 6e 27 73 20 6d 6f 74 69 6f 6e 20 .populations...The.Sun's.motion.
136ec0 77 69 74 68 20 72 65 73 70 65 63 74 20 74 6f 20 61 20 6b 69 6e 65 6d 61 74 69 63 61 6c 0a 20 20 with.respect.to.a.kinematical...
136ee0 20 20 20 20 20 20 4c 53 52 20 69 73 20 6b 6e 6f 77 6e 20 61 73 20 74 68 65 20 3c 49 3e 73 74 61 ......LSR.is.known.as.the.<I>sta
136f00 6e 64 61 72 64 3c 2f 49 3e 20 73 6f 6c 61 72 20 6d 6f 74 69 6f 6e 2e 0a 20 20 3c 44 54 3e 33 2e ndard</I>.solar.motion....<DT>3.
136f20 0a 3c 44 44 3e 54 68 65 72 65 20 69 73 20 61 6e 6f 74 68 65 72 20 73 6f 72 74 20 6f 66 20 4c 53 .<DD>There.is.another.sort.of.LS
136f40 52 2c 20 73 65 6c 64 6f 6d 20 75 73 65 64 20 62 79 20 6f 62 73 65 72 76 61 74 69 6f 6e 61 6c 0a R,.seldom.used.by.observational.
136f60 20 20 20 20 20 20 20 20 61 73 74 72 6f 6e 6f 6d 65 72 73 2c 20 63 61 6c 6c 65 64 20 74 68 65 20 ........astronomers,.called.the.
136f80 3c 49 3e 64 79 6e 61 6d 69 63 61 6c 3c 2f 49 3e 20 4c 53 52 2e 20 20 54 68 69 73 20 69 73 20 61 <I>dynamical</I>.LSR...This.is.a
136fa0 0a 20 20 20 20 20 20 20 20 70 6f 69 6e 74 20 69 6e 20 74 68 65 20 76 69 63 69 6e 69 74 79 20 6f .........point.in.the.vicinity.o
136fc0 66 20 74 68 65 20 53 75 6e 20 77 68 69 63 68 20 69 73 20 69 6e 20 61 20 63 69 72 63 75 6c 61 72 f.the.Sun.which.is.in.a.circular
136fe0 20 6f 72 62 69 74 0a 20 20 20 20 20 20 20 20 61 72 6f 75 6e 64 20 74 68 65 20 47 61 6c 61 63 74 .orbit.........around.the.Galact
137000 69 63 20 63 65 6e 74 72 65 2e 20 20 54 68 65 20 53 75 6e 27 73 20 6d 6f 74 69 6f 6e 20 77 69 74 ic.centre...The.Sun's.motion.wit
137020 68 20 72 65 73 70 65 63 74 20 74 6f 0a 20 20 20 20 20 20 20 20 74 68 65 20 64 79 6e 61 6d 69 63 h.respect.to.........the.dynamic
137040 61 6c 20 4c 53 52 20 69 73 20 63 61 6c 6c 65 64 20 74 68 65 20 3c 49 3e 70 65 63 75 6c 69 61 72 al.LSR.is.called.the.<I>peculiar
137060 3c 2f 49 3e 20 73 6f 6c 61 72 20 6d 6f 74 69 6f 6e 2e 20 20 54 6f 0a 20 20 20 20 20 20 20 20 6f </I>.solar.motion...To.........o
137080 62 74 61 69 6e 20 61 20 72 61 64 69 61 6c 20 76 65 6c 6f 63 69 74 79 20 63 6f 72 72 65 63 74 69 btain.a.radial.velocity.correcti
1370a0 6f 6e 20 77 69 74 68 20 72 65 73 70 65 63 74 20 74 6f 20 74 68 65 0a 20 20 20 20 20 20 20 20 64 on.with.respect.to.the.........d
1370c0 79 6e 61 6d 69 63 61 6c 20 4c 53 52 20 75 73 65 20 74 68 65 20 72 6f 75 74 69 6e 65 20 73 6c 61 ynamical.LSR.use.the.routine.sla
1370e0 5f 52 56 4c 53 52 44 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 54 68 65 20 61 64 6f 70 74 65 _RVLSRD....<DT>4..<DD>The.adopte
137100 64 20 73 74 61 6e 64 61 72 64 20 73 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 69 73 20 32 30 26 6e 62 d.standard.solar.motion.is.20&nb
137120 73 70 3b 6b 6d 26 6e 62 73 70 3b 73 3c 53 55 50 3e 2d 31 3c 2f 53 55 50 3e 0a 20 20 20 20 20 20 sp;km&nbsp;s<SUP>-1</SUP>.......
137140 20 20 74 6f 77 61 72 64 73 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 32 22 20 48 45 49 47 48 ..towards.<IMG.WIDTH="132".HEIGH
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1371a0 3d 31 38 5e 7b 5c 72 6d 20 68 7d 2c 5c 64 65 6c 74 61 3d 2b 33 30 5e 7b 5c 63 69 72 63 7d 24 22 =18^{\rm.h},\delta=+30^{\circ}$"
1371c0 3e 20 28 31 39 30 30 29 2e 0a 20 3c 2f 44 4c 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 >.(1900)...</DL></DL>.<P>.....<D
1371e0 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 46 45 52 45 4e 43 45 53 3a 3c 2f 53 54 52 4f L>.<DT><STRONG>REFERENCES:</STRO
137200 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e NG>.<DD><DL.COMPACT>.<DT>1..<DD>
137220 44 65 6c 68 61 79 65 20 28 31 39 36 35 29 2c 20 69 6e 20 3c 49 3e 53 74 61 72 73 20 61 6e 64 20 Delhaye.(1965),.in.<I>Stars.and.
137240 53 74 65 6c 6c 61 72 20 53 79 73 74 65 6d 73 3c 2f 49 3e 2c 20 76 6f 6c 26 6e 62 73 70 3b 35 2c Stellar.Systems</I>,.vol&nbsp;5,
137260 20 70 37 33 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 3c 49 3e 4d 65 74 68 6f 64 73 20 6f 66 20 45 .p73..<DT>2..<DD><I>Methods.of.E
137280 78 70 65 72 69 6d 65 6e 74 61 6c 20 50 68 79 73 69 63 73 3c 2f 49 3e 20 28 65 64 20 4d 65 65 6b xperimental.Physics</I>.(ed.Meek
1372a0 73 29 2c 20 76 6f 6c 26 6e 62 73 70 3b 31 32 2c 0a 70 61 72 74 26 6e 62 73 70 3b 43 2c 20 73 65 s),.vol&nbsp;12,.part&nbsp;C,.se
1372c0 63 26 6e 62 73 70 3b 36 2e 31 2e 35 2e 32 2c 20 70 32 38 31 2e 0a 20 3c 2f 44 4c 3e 3c 2f 44 4c c&nbsp;6.1.5.2,.p281...</DL></DL
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1375a0 43 41 54 49 4f 4e 53 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e 20 50 72 65 76 69 6f 75 73 3a 3c 2f CATIONS</A>.<BR>.<B>.Previous:</
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137600 72 72 6e 20 74 6f 20 44 79 6e 61 6d 69 63 61 6c 20 4c 53 52 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 rrn.to.Dynamical.LSR</A>.<BR>.<H
137620 52 3e 20 3c 50 3e 0a 3c 50 3e 3c 21 2d 2d 45 6e 64 20 6f 66 20 4e 61 76 69 67 61 74 69 6f 6e 20 R>.<P>.<P><!--End.of.Navigation.
137640 50 61 6e 65 6c 2d 2d 3e 0a 3c 41 44 44 52 45 53 53 3e 0a 3c 49 3e 53 4c 41 4c 49 42 20 2d 2d 2d Panel-->.<ADDRESS>.<I>SLALIB.---
137660 20 50 6f 73 69 74 69 6f 6e 61 6c 20 41 73 74 72 6f 6e 6f 6d 79 20 4c 69 62 72 61 72 79 3c 42 52 .Positional.Astronomy.Library<BR
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1376a0 57 61 6c 6c 61 63 65 3c 42 52 3e 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d Wallace<BR>12.October.1999<BR>E-
1376c0 6d 61 69 6c 3a 70 74 77 40 73 74 61 72 2e 72 6c 2e 61 63 2e 75 6b 3c 2f 49 3e 0a 3c 2f 41 44 44 mail:ptw@star.rl.ac.uk</I>.</ADD
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137900 00 75 73 74 61 72 00 30 30 70 74 77 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .ustar.00ptw....................
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13b1a0 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 3c 2f 45 4d 3e 3c 2f 54 44 ><TD.ALIGN="LEFT"><EM>D</EM></TD
13b1c0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e >.<TD.ALIGN="LEFT"><B>R</B></TD>
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13b220 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4a 46 3c 2f 45 4d 3e 3c 2f 54 ><TD.ALIGN="LEFT"><EM>JF</EM></T
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13b4e0 20 6d 61 74 72 69 78 2c 0a 3c 4c 49 3e 20 3c 42 3e 79 3c 2f 42 3e 20 69 73 20 74 68 65 20 76 65 .matrix,.<LI>.<B>y</B>.is.the.ve
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13f6a0 54 68 65 20 64 69 73 74 69 6e 63 74 69 6f 6e 20 62 65 74 77 65 65 6e 20 74 68 65 20 72 65 71 75 The.distinction.between.the.requ
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13fa80 3c 53 54 52 4f 4e 47 3e 52 45 46 45 52 45 4e 43 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 <STRONG>REFERENCES:</STRONG>.<DD
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1416c0 6f 6e 67 20 73 68 61 70 65 2c 20 26 67 74 3b 30 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 69 6e 64 ong.shape,.&gt;0&nbsp;=&nbsp;ind
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141740 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e <DL>.<DT><STRONG>NOTES:</STRONG>
141760 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 4d 20 61 .<DD><DL.COMPACT>.<DT>1..<DD>M.a
141780 6e 64 20 4e 20 61 72 65 20 74 68 65 20 3c 49 3e 6c 6f 67 69 63 61 6c 3c 2f 49 3e 20 64 69 6d 65 nd.N.are.the.<I>logical</I>.dime
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141820 6e 64 20 4e 50 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 56 20 63 6f 6e 74 61 69 6e 73 20 6d nd.NP....<DT>2..<DD>V.contains.m
141840 61 74 72 69 78 20 56 2c 20 6e 6f 74 20 74 68 65 20 74 72 61 6e 73 70 6f 73 65 20 6f 66 20 6d 61 atrix.V,.not.the.transpose.of.ma
141860 74 72 69 78 20 56 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 49 66 20 74 68 65 20 73 74 61 74 trix.V....<DT>3..<DD>If.the.stat
141880 75 73 20 4a 53 54 41 54 20 69 73 20 67 72 65 61 74 65 72 20 74 68 61 6e 20 7a 65 72 6f 2c 20 74 us.JSTAT.is.greater.than.zero,.t
1418a0 68 69 73 20 6e 65 65 64 20 6e 6f 74 0a 20 20 20 20 20 20 20 20 6e 65 63 65 73 73 61 72 69 6c 79 his.need.not.........necessarily
1418c0 20 62 65 20 74 72 65 61 74 65 64 20 61 73 20 61 20 66 61 69 6c 75 72 65 2e 20 20 49 74 20 6d 65 .be.treated.as.a.failure...It.me
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141900 70 72 6f 70 65 72 74 69 65 73 20 6f 66 20 74 68 65 20 6d 61 74 72 69 78 20 41 2c 20 74 68 65 20 properties.of.the.matrix.A,.the.
141920 51 52 20 74 72 61 6e 73 66 6f 72 6d 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 70 68 61 73 65 20 QR.transformation.........phase.
141940 6f 66 20 74 68 65 20 72 6f 75 74 69 6e 65 20 64 69 64 20 6e 6f 74 20 66 75 6c 6c 79 20 63 6f 6e of.the.routine.did.not.fully.con
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1419a0 61 74 20 76 65 72 79 20 73 65 6c 64 6f 6d 20 6f 63 63 75 72 73 2e 0a 20 20 20 20 20 20 20 20 57 at.very.seldom.occurs..........W
1419c0 68 65 6e 20 74 68 69 73 20 63 6f 6e 64 69 74 69 6f 6e 20 64 6f 65 73 20 61 72 69 73 65 2c 20 69 hen.this.condition.does.arise,.i
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141a20 20 68 61 76 65 20 6e 6f 74 20 62 65 65 6e 20 63 6f 72 72 65 63 74 6c 79 0a 20 20 20 20 20 20 20 .have.not.been.correctly........
141a40 20 66 6f 75 6e 64 2e 20 20 48 6f 77 65 76 65 72 2c 20 69 6e 20 70 72 61 63 74 69 63 65 20 74 68 .found...However,.in.practice.th
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141b20 4f 4e 47 3e 0a 3c 44 44 3e 54 68 65 20 61 6c 67 6f 72 69 74 68 6d 20 69 73 20 61 6e 20 61 64 61 ONG>.<DD>The.algorithm.is.an.ada
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141c20 6f 66 20 57 69 6c 6b 69 6e 73 6f 6e 20 26 61 6d 70 3b 20 52 65 69 6e 73 63 68 20 31 39 37 31 20 of.Wilkinson.&amp;.Reinsch.1971.
141c40 28 3c 49 3e 48 61 6e 64 62 6f 6f 6b 20 66 6f 72 20 41 75 74 6f 6d 61 74 69 63 0a 20 20 20 20 20 (<I>Handbook.for.Automatic......
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142f40 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 </EM></TD>.<TH.ALIGN="LEFT"><B>I
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143100 4d 3e 4e 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e M>NC</EM></TD>.<TD.ALIGN="LEFT">
143120 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e <B>I</B></TD>.<TD.ALIGN="LEFT".N
143140 4f 57 52 41 50 3e 66 69 72 73 74 20 64 69 6d 65 6e 73 69 6f 6e 20 6f 66 20 61 72 72 61 79 20 43 OWRAP>first.dimension.of.array.C
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143840 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 32 32 39 22 20 48 52 45 46 3d 22 6e >.<A.NAME="tex2html2229".HREF="n
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143880 56 61 6c 75 65 20 44 65 63 6f 6d 70 6f 73 69 74 69 6f 6e 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 Value.Decomposition</A>.<BR>.<HR
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1438e0 50 6f 73 69 74 69 6f 6e 61 6c 20 41 73 74 72 6f 6e 6f 6d 79 20 4c 69 62 72 61 72 79 3c 42 52 3e Positional.Astronomy.Library<BR>
143900 53 74 61 72 6c 69 6e 6b 20 55 73 65 72 20 4e 6f 74 65 20 36 37 3c 42 52 3e 50 2e 20 54 2e 20 57 Starlink.User.Note.67<BR>P..T..W
143920 61 6c 6c 61 63 65 3c 42 52 3e 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d 6d allace<BR>12.October.1999<BR>E-m
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1441a0 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 32 34 37 22 20 48 52 45 46 3d 22 6e 6f 64 <A.NAME="tex2html2247".HREF="nod
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144ca0 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e .</TABLE></DL>.<P>.....<DL>.<DT>
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144ce0 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 <BR>.<TABLE.CELLPADDING=3>.<TR.V
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144d20 3e 57 4f 52 4b 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 >WORK</EM></TD>.<TH.ALIGN="LEFT"
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144da0 3e 3c 45 4d 3e 58 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 ><EM>X</EM></TD>.<TD.ALIGN="LEFT
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144e20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 .....<DL>.<DT><STRONG>NOTES:</ST
144e40 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 RONG>.<DD><DL.COMPACT>.<DT>1..<D
144e60 44 3e 49 6e 20 74 68 65 20 53 69 6e 67 75 6c 61 72 20 56 61 6c 75 65 20 44 65 63 6f 6d 70 6f 73 D>In.the.Singular.Value.Decompos
144e80 69 74 69 6f 6e 20 6d 65 74 68 6f 64 20 28 53 56 44 29 2c 0a 74 68 65 20 6d 61 74 72 69 78 20 3c ition.method.(SVD),.the.matrix.<
144ea0 42 3e 41 3c 2f 42 3e 20 69 73 20 66 69 72 73 74 20 66 61 63 74 6f 72 69 7a 65 64 20 28 66 6f 72 B>A</B>.is.first.factorized.(for
144ec0 20 65 78 61 6d 70 6c 65 20 62 79 0a 74 68 65 20 72 6f 75 74 69 6e 65 20 73 6c 61 5f 53 56 44 29 .example.by.the.routine.sla_SVD)
144ee0 20 69 6e 74 6f 20 74 68 65 20 66 6f 6c 6c 6f 77 69 6e 67 20 63 6f 6d 70 6f 6e 65 6e 74 73 3a 0a .into.the.following.components:.
144f00 20 20 20 20 20 20 20 20 3c 50 52 45 3e 3c 54 54 3e 0a 20 09 09 20 3c 42 3e 41 3c 2f 42 3e 20 3d ........<PRE><TT>.....<B>A</B>.=
144f20 20 3c 42 3e 55 3c 2f 42 3e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d .<B>U</B>.<IMG.WIDTH="7".HEIGHT=
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144f80 3c 42 3e 57 3c 2f 42 3e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 22 20 48 45 49 47 48 54 3d 22 <B>W</B>.<IMG.WIDTH="7".HEIGHT="
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144fe0 42 3e 56 3c 2f 42 3e 3c 53 55 50 3e 3c 49 3e 54 3c 2f 49 3e 3c 2f 53 55 50 3e 0a 3c 2f 54 54 3e B>V</B><SUP><I>T</I></SUP>.</TT>
145000 3c 2f 50 52 45 3e 0a 20 20 20 20 20 20 20 20 77 68 65 72 65 3a 0a 20 20 20 20 20 20 20 20 3c 50 </PRE>.........where:.........<P
145020 52 45 3e 3c 54 54 3e 0a 20 09 09 20 3c 42 3e 41 3c 2f 42 3e 20 09 09 20 69 73 20 61 6e 79 20 3c RE><TT>.....<B>A</B>....is.any.<
145040 49 3e 6d 3c 2f 49 3e 20 28 72 6f 77 73 29 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 35 22 20 48 I>m</I>.(rows).<IMG.WIDTH="25".H
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1450a0 69 6d 65 73 20 6e 24 22 3e 20 28 63 6f 6c 75 6d 6e 73 29 20 6d 61 74 72 69 78 2c 20 20 20 20 20 imes.n$">.(columns).matrix,.....
1450c0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 77 68 65 72 65 20 3c 49 3e 6d 3c 2f 49 3e 20 .................where.<I>m</I>.
1450e0 26 67 74 3b 20 3c 49 3e 6e 3c 2f 49 3e 20 0a 09 09 20 3c 42 3e 55 3c 2f 42 3e 20 09 09 20 69 73 &gt;.<I>n</I>.....<B>U</B>....is
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145160 20 63 6f 6c 75 6d 6e 2d 6f 72 74 68 6f 67 6f 6e 61 6c 20 6d 61 74 72 69 78 0a 09 09 20 3c 42 3e .column-orthogonal.matrix....<B>
145180 57 3c 2f 42 3e 20 09 09 20 69 73 20 61 6e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 W</B>....is.an.<IMG.WIDTH="42".H
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147ba0 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 <DL>.<DT><STRONG>ACTION:</STRONG
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147ce0 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 .<DT><STRONG>GIVEN:</STRONG>.<DD
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147e60 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 ABLE></DL>.<P>.....<DL>.<DT><STR
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147ea0 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 .<TABLE.CELLPADDING=3>.<TR.VALIG
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147f00 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 )</B></TH>.<TD.ALIGN="LEFT".NOWR
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147f80 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 49 66 20 76 <DD><DL.COMPACT>.<DT>1..<DD>If.v
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147fc0 74 68 65 20 72 65 74 75 72 6e 65 64 20 76 65 63 74 6f 72 20 56 20 77 69 6c 6c 0a 62 65 20 77 72 the.returned.vector.V.will.be.wr
147fe0 6f 6e 67 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 49 66 20 76 65 63 74 6f 72 20 56 30 20 70 6f 69 ong..<DT>2..<DD>If.vector.V0.poi
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149540 3e 52 41 2c 44 45 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 >RA,DEC</EM></TD>.<TD.ALIGN="LEF
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149580 22 20 4e 4f 57 52 41 50 3e 73 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 28 ".NOWRAP>spherical.coordinates.(
1495a0 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c radians)</TD>.</TR>.</TABLE></DL
1495c0 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 >.<P>.....<DL>.<DT><STRONG>RETUR
1495e0 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 NED:</STRONG>.<DD>.<BR>.<TABLE.C
149600 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c ELLPADDING=3>.<TR.VALIGN="TOP"><
149620 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 41 5a 31 2c 44 45 43 5a 31 3c 2f TD.ALIGN="LEFT"><EM>RAZ1,DECZ1</
149640 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f EM></TD>.<TH.ALIGN="LEFT"><B>R</
149660 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TH>.<TD.ALIGN="LEFT".NOWRAP>
149680 73 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 6f 66 20 74 61 6e 67 65 6e 74 spherical.coordinates.of.tangent
1496a0 20 70 6f 69 6e 74 2c 0a 73 6f 6c 75 74 69 6f 6e 20 31 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 .point,.solution.1</TD>.</TR>.<T
1496c0 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e R.VALIGN="TOP"><TD.ALIGN="LEFT">
1496e0 3c 45 4d 3e 52 41 5a 32 2c 44 45 43 5a 32 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 <EM>RAZ2,DECZ2</EM></TD>.<TD.ALI
149700 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>R</B></TD>.<TD.ALIG
149720 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 73 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 N="LEFT".NOWRAP>spherical.coordi
149740 6e 61 74 65 73 20 6f 66 20 74 61 6e 67 65 6e 74 20 70 6f 69 6e 74 2c 0a 73 6f 6c 75 74 69 6f 6e nates.of.tangent.point,.solution
149760 20 32 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c .2</TD>.</TR>.<TR.VALIGN="TOP"><
149780 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a TD.ALIGN="LEFT"><EM>N</EM></TD>.
1497a0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>I</B></TD>.<
1497c0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6e 75 6d 62 65 72 20 6f 66 TD.ALIGN="LEFT".NOWRAP>number.of
1497e0 20 73 6f 6c 75 74 69 6f 6e 73 3a 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 .solutions:</TD>.</TR>.<TR.VALIG
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149820 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e M></TD>.<TD.ALIGN="LEFT"><B></B>
149840 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 </TD>.<TD.ALIGN="LEFT".NOWRAP>..
149860 30 20 3d 20 6e 6f 20 73 6f 6c 75 74 69 6f 6e 73 20 72 65 74 75 72 6e 65 64 20 20 28 6e 6f 74 65 0.=.no.solutions.returned..(note
149880 20 32 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e .2)</TD>.</TR>.<TR.VALIGN="TOP">
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1498e0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 31 20 3d 20 6f 6e 6c 79 D.ALIGN="LEFT".NOWRAP>..1.=.only
149900 20 74 68 65 20 66 69 72 73 74 20 73 6f 6c 75 74 69 6f 6e 20 69 73 20 75 73 65 66 75 6c 20 28 6e .the.first.solution.is.useful.(n
149920 6f 74 65 20 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f ote.3)</TD>.</TR>.<TR.VALIGN="TO
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149960 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e D>.<TD.ALIGN="LEFT"><B></B></TD>
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1499a0 68 65 72 65 20 61 72 65 20 74 77 6f 20 75 73 65 66 75 6c 20 73 6f 6c 75 74 69 6f 6e 73 20 28 6e here.are.two.useful.solutions.(n
1499c0 6f 74 65 20 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a ote.3)</TD>.</TR>.</TABLE></DL>.
1499e0 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a <P>......<DL>.<DT><STRONG>NOTES:
149a00 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 </STRONG>.<DD><DL.COMPACT>.<DT>1
149a20 2e 0a 3c 44 44 3e 54 68 65 20 52 41 5a 31 20 61 6e 64 20 52 41 5a 32 20 76 61 6c 75 65 73 20 72 ..<DD>The.RAZ1.and.RAZ2.values.r
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149a80 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 36 36 2e 67 69 66 22 0a LE".BORDER="0"..SRC="img66.gif".
149aa0 20 41 4c 54 3d 22 24 30 5c 21 2d 5c 21 32 5c 70 69 24 22 3e 2e 3c 44 54 3e 32 2e 0a 3c 44 44 3e .ALT="$0\!-\!2\pi$">.<DT>2..<DD>
149ac0 43 61 73 65 73 20 77 68 65 72 65 20 74 68 65 72 65 20 69 73 20 6e 6f 20 73 6f 6c 75 74 69 6f 6e Cases.where.there.is.no.solution
149ae0 20 63 61 6e 20 6f 6e 6c 79 20 61 72 69 73 65 20 6e 65 61 72 20 74 68 65 20 70 6f 6c 65 73 2e 0a .can.only.arise.near.the.poles..
149b00 46 6f 72 20 65 78 61 6d 70 6c 65 2c 20 69 74 20 69 73 20 63 6c 65 61 72 6c 79 20 69 6d 70 6f 73 For.example,.it.is.clearly.impos
149b20 73 69 62 6c 65 20 66 6f 72 20 61 20 73 74 61 72 20 61 74 20 74 68 65 20 70 6f 6c 65 0a 20 20 20 sible.for.a.star.at.the.pole....
149b40 20 20 20 20 20 69 74 73 65 6c 66 20 74 6f 20 68 61 76 65 20 61 20 6e 6f 6e 2d 7a 65 72 6f 20 3c .....itself.to.have.a.non-zero.<
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149ba0 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 78 69 24 22 3e 20 76 61 6c 75 65 2c 20 61 6e 64 20 68 .gif"..ALT="$\xi$">.value,.and.h
149bc0 65 6e 63 65 20 69 74 20 69 73 0a 20 20 20 20 20 20 20 20 6d 65 61 6e 69 6e 67 6c 65 73 73 20 74 ence.it.is.........meaningless.t
149be0 6f 20 61 73 6b 20 77 68 65 72 65 20 74 68 65 20 74 61 6e 67 65 6e 74 20 70 6f 69 6e 74 20 77 6f o.ask.where.the.tangent.point.wo
149c00 75 6c 64 20 68 61 76 65 20 74 6f 20 62 65 0a 20 20 20 20 20 20 20 20 74 6f 20 62 72 69 6e 67 20 uld.have.to.be.........to.bring.
149c20 61 62 6f 75 74 20 74 68 69 73 20 63 6f 6d 62 69 6e 61 74 69 6f 6e 20 6f 66 20 3c 49 4d 47 20 57 about.this.combination.of.<IMG.W
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149c60 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 39 32 2e 67 69 66 22 DLE".BORDER="0"..SRC="img92.gif"
149c80 0a 20 41 4c 54 3d 22 24 5c 78 69 24 22 3e 20 61 6e 64 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 ..ALT="$\xi$">.and.<IMG.WIDTH="1
149ca0 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 0".HEIGHT="13".ALIGN="BOTTOM".BO
149cc0 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 RDER="0"..SRC="img23.gif"..ALT="
149ce0 24 5c 64 65 6c 74 61 24 22 3e 2e 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 41 6c 73 6f 20 6e 65 61 $\delta$">...<DT>3..<DD>Also.nea
149d00 72 20 74 68 65 20 70 6f 6c 65 73 2c 20 63 61 73 65 73 20 63 61 6e 20 61 72 69 73 65 20 77 68 65 r.the.poles,.cases.can.arise.whe
149d20 72 65 20 74 68 65 72 65 20 61 72 65 20 74 77 6f 20 75 73 65 66 75 6c 0a 20 20 20 20 20 20 20 20 re.there.are.two.useful.........
149d40 73 6f 6c 75 74 69 6f 6e 73 2e 20 20 54 68 65 20 61 72 67 75 6d 65 6e 74 20 4e 20 69 6e 64 69 63 solutions...The.argument.N.indic
149d60 61 74 65 73 20 77 68 65 74 68 65 72 20 74 68 65 20 73 65 63 6f 6e 64 20 6f 66 20 74 68 65 0a 20 ates.whether.the.second.of.the..
149d80 20 20 20 20 20 20 20 74 77 6f 20 73 6f 6c 75 74 69 6f 6e 73 20 72 65 74 75 72 6e 65 64 20 69 73 .......two.solutions.returned.is
149da0 20 75 73 65 66 75 6c 2e 20 20 4e 3d 31 0a 20 20 20 20 20 20 20 20 69 6e 64 69 63 61 74 65 73 20 .useful...N=1.........indicates.
149dc0 6f 6e 6c 79 20 6f 6e 65 20 75 73 65 66 75 6c 20 73 6f 6c 75 74 69 6f 6e 2c 20 74 68 65 20 75 73 only.one.useful.solution,.the.us
149de0 75 61 6c 20 63 61 73 65 3b 20 20 75 6e 64 65 72 0a 20 20 20 20 20 20 20 20 74 68 65 73 65 20 63 ual.case;..under.........these.c
149e00 69 72 63 75 6d 73 74 61 6e 63 65 73 2c 20 74 68 65 20 73 65 63 6f 6e 64 20 73 6f 6c 75 74 69 6f ircumstances,.the.second.solutio
149e20 6e 20 63 6f 72 72 65 73 70 6f 6e 64 73 20 74 6f 20 74 68 65 0a 20 20 20 20 20 20 20 20 60 60 6f n.corresponds.to.the.........``o
149e40 76 65 72 2d 74 68 65 2d 70 6f 6c 65 27 27 20 63 61 73 65 2c 20 61 6e 64 20 74 68 69 73 20 69 73 ver-the-pole''.case,.and.this.is
149e60 20 72 65 66 6c 65 63 74 65 64 20 69 6e 20 74 68 65 20 76 61 6c 75 65 73 0a 20 20 20 20 20 20 20 .reflected.in.the.values........
149e80 20 6f 66 20 52 41 5a 32 20 61 6e 64 20 44 45 43 5a 32 20 77 68 69 63 68 20 61 72 65 20 72 65 74 .of.RAZ2.and.DECZ2.which.are.ret
149ea0 75 72 6e 65 64 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 54 68 65 20 44 45 43 5a 31 20 61 6e urned....<DT>4..<DD>The.DECZ1.an
149ec0 64 20 44 45 43 5a 32 20 76 61 6c 75 65 73 20 72 65 74 75 72 6e 65 64 20 61 72 65 20 69 6e 20 74 d.DECZ2.values.returned.are.in.t
149ee0 68 65 20 72 61 6e 67 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 35 22 20 48 45 49 47 48 54 3d he.range.<IMG.WIDTH="25".HEIGHT=
149f00 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 "25".ALIGN="MIDDLE".BORDER="0"..
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149f40 3e 2c 20 20 20 20 20 20 20 20 62 75 74 20 69 6e 20 74 68 65 20 6f 72 64 69 6e 61 72 79 2c 20 6e >,........but.in.the.ordinary,.n
149f60 6f 6e 2d 70 6f 6c 65 2d 63 72 6f 73 73 69 6e 67 2c 20 63 61 73 65 2c 20 74 68 65 20 72 61 6e 67 on-pole-crossing,.case,.the.rang
149f80 65 20 69 73 0a 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 31 22 20 48 45 49 e.is.........<IMG.WIDTH="41".HEI
149fa0 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 GHT="29".ALIGN="MIDDLE".BORDER="
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149fe0 69 2f 32 24 22 3e 2e 20 20 3c 44 54 3e 35 2e 0a 3c 44 44 3e 52 41 2c 20 44 45 43 2c 20 52 41 5a i/2$">...<DT>5..<DD>RA,.DEC,.RAZ
14a000 31 2c 20 44 45 43 5a 31 2c 20 52 41 5a 32 2c 20 44 45 43 5a 32 20 61 72 65 20 61 6c 6c 20 69 6e 1,.DECZ1,.RAZ2,.DECZ2.are.all.in
14a020 20 72 61 64 69 61 6e 73 2e 0a 20 20 3c 44 54 3e 36 2e 0a 3c 44 44 3e 54 68 65 20 70 72 6f 6a 65 .radians....<DT>6..<DD>The.proje
14a040 63 74 69 6f 6e 20 69 73 20 63 61 6c 6c 65 64 20 74 68 65 20 3c 49 3e 67 6e 6f 6d 6f 6e 69 63 3c ction.is.called.the.<I>gnomonic<
14a060 2f 49 3e 20 70 72 6f 6a 65 63 74 69 6f 6e 3b 20 20 74 68 65 0a 20 20 20 20 20 20 20 20 43 61 72 /I>.projection;..the.........Car
14a080 74 65 73 69 61 6e 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 tesian.coordinates.<IMG.WIDTH="4
14a0a0 31 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 1".HEIGHT="29".ALIGN="MIDDLE".BO
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14a100 20 20 20 20 20 20 20 3c 49 3e 73 74 61 6e 64 61 72 64 20 63 6f 6f 72 64 69 6e 61 74 65 73 2e 3c .......<I>standard.coordinates.<
14a120 2f 49 3e 20 20 54 68 65 20 6c 61 74 74 65 72 0a 20 20 20 20 20 20 20 20 61 72 65 20 69 6e 20 75 /I>..The.latter.........are.in.u
14a140 6e 69 74 73 20 6f 66 20 74 68 65 20 64 69 73 74 61 6e 63 65 20 66 72 6f 6d 20 74 68 65 20 74 61 nits.of.the.distance.from.the.ta
14a160 6e 67 65 6e 74 20 70 6c 61 6e 65 20 74 6f 20 74 68 65 20 70 72 6f 6a 65 63 74 69 6f 6e 0a 20 20 ngent.plane.to.the.projection...
14a180 20 20 20 20 20 20 70 6f 69 6e 74 2c 20 3c 49 3e 69 2e 65 2e 3c 2f 49 3e 20 72 61 64 69 61 6e 73 ......point,.<I>i.e.</I>.radians
14a1a0 20 6e 65 61 72 20 74 68 65 20 6f 72 69 67 69 6e 2e 0a 20 20 3c 44 54 3e 37 2e 0a 3c 44 44 3e 57 .near.the.origin....<DT>7..<DD>W
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14d780 3e 4f 52 42 49 4e 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 >ORBINC</EM></TD>.<TD.ALIGN="LEF
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14d860 3e 6c 6f 6e 67 69 74 75 64 65 20 6f 66 20 74 68 65 20 61 73 63 65 6e 64 69 6e 67 20 6e 6f 64 65 >longitude.of.the.ascending.node
14d880 20 28 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 34 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c .(<IMG.WIDTH="14".HEIGHT="13".AL
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14d8e0 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e ns)</TD>.</TR>.<TR.VALIGN="TOP">
14d900 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 45 52 49 48 3c 2f 45 4d 3e 3c <TD.ALIGN="LEFT"><EM>PERIH</EM><
14d920 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f /TD>.<TD.ALIGN="LEFT"><B>D</B></
14d940 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 6f 6e 67 TD>.<TD.ALIGN="LEFT".NOWRAP>long
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14dae0 3e 3c 45 4d 3e 41 4f 52 51 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c ><EM>AORQ</EM></TD>.<TD.ALIGN="L
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14dbc0 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 ></TD>.<TD.ALIGN="LEFT".NOWRAP>e
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14dce0 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 TD>.<TD.ALIGN="LEFT"><B></B></TD
14dd00 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 4a 46 4f 52 >.<TD.ALIGN="LEFT".NOWRAP>..JFOR
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14dd40 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 4d 3c N="TOP"><TD.ALIGN="LEFT"><EM>DM<
14dd60 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c /EM></TD>.<TD.ALIGN="LEFT"><B>D<
14dd80 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 /B></TD>.<TD.ALIGN="LEFT".NOWRAP
14dda0 3e 64 61 69 6c 79 20 6d 6f 74 69 6f 6e 20 28 3c 49 3e 6e 3c 2f 49 3e 2c 20 72 61 64 69 61 6e 73 >daily.motion.(<I>n</I>,.radians
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14dde0 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
14de00 3e 4a 53 54 41 54 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 >JSTAT</EM></TD>.<TD.ALIGN="LEFT
14de20 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 "><B>I</B></TD>.<TD.ALIGN="LEFT"
14de40 20 4e 4f 57 52 41 50 3e 73 74 61 74 75 73 3a 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 .NOWRAP>status:</TD>.</TR>.<TR.V
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14de80 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e ></EM></TD>.<TD.ALIGN="LEFT"><B>
14dea0 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 </B></TD>.<TD.ALIGN="LEFT".NOWRA
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14dee0 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c IGN="TOP"><TD.ALIGN="LEFT"><EM><
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14df20 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TD>.<TD.ALIGN="LEFT".NOWRAP>
14df40 20 20 2d 31 20 3d 20 69 6c 6c 65 67 61 6c 20 50 4d 41 53 53 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a ..-1.=.illegal.PMASS</TD>.</TR>.
14df60 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <TR.VALIGN="TOP"><TD.ALIGN="LEFT
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14dfc0 4e 4f 57 52 41 50 3e 20 20 2d 32 20 3d 20 69 6c 6c 65 67 61 6c 20 4a 46 4f 52 4d 52 3c 2f 54 44 NOWRAP>..-2.=.illegal.JFORMR</TD
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14e040 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 2d 33 20 3d 20 70 6f 73 69 74 69 6f 6e 2f 76 ="LEFT".NOWRAP>..-3.=.position/v
14e060 65 6c 6f 63 69 74 79 20 6f 75 74 20 6f 66 20 61 6c 6c 6f 77 65 64 20 72 61 6e 67 65 3c 2f 54 44 elocity.out.of.allowed.range</TD
14e080 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c >.</TR>.</TABLE></DL>.<P>......<
14e0a0 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a DL>.<DT><STRONG>NOTES:</STRONG>.
14e0c0 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 <DD><DL.COMPACT>.<DT>1..<DD>The.
14e0e0 60 60 75 6e 69 76 65 72 73 61 6c 27 27 20 65 6c 65 6d 65 6e 74 73 20 61 72 65 20 74 68 6f 73 65 ``universal''.elements.are.those
14e100 20 77 68 69 63 68 20 64 65 66 69 6e 65 20 74 68 65 20 6f 72 62 69 74 20 66 6f 72 20 74 68 65 0a .which.define.the.orbit.for.the.
14e120 70 75 72 70 6f 73 65 73 20 6f 66 20 74 68 65 20 6d 65 74 68 6f 64 20 6f 66 20 75 6e 69 76 65 72 purposes.of.the.method.of.univer
14e140 73 61 6c 20 76 61 72 69 61 62 6c 65 73 20 28 73 65 65 20 72 65 66 65 72 65 6e 63 65 20 32 29 2e sal.variables.(see.reference.2).
14e160 0a 54 68 65 79 20 63 6f 6e 73 69 73 74 20 6f 66 20 74 68 65 20 63 6f 6d 62 69 6e 65 64 20 6d 61 .They.consist.of.the.combined.ma
14e180 73 73 20 6f 66 20 74 68 65 20 74 77 6f 20 62 6f 64 69 65 73 2c 20 61 6e 20 65 70 6f 63 68 2c 0a ss.of.the.two.bodies,.an.epoch,.
14e1a0 20 20 20 20 20 20 20 20 61 6e 64 20 74 68 65 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c ........and.the.position.and.vel
14e1c0 6f 63 69 74 79 20 76 65 63 74 6f 72 73 20 28 61 72 62 69 74 72 61 72 79 20 72 65 66 65 72 65 6e ocity.vectors.(arbitrary.referen
14e1e0 63 65 20 66 72 61 6d 65 29 0a 20 20 20 20 20 20 20 20 61 74 20 74 68 61 74 20 65 70 6f 63 68 2e ce.frame).........at.that.epoch.
14e200 20 20 54 68 65 20 70 61 72 61 6d 65 74 65 72 20 73 65 74 20 75 73 65 64 20 68 65 72 65 20 69 6e ..The.parameter.set.used.here.in
14e220 63 6c 75 64 65 73 20 61 6c 73 6f 20 76 61 72 69 6f 75 73 0a 20 20 20 20 20 20 20 20 71 75 61 6e cludes.also.various.........quan
14e240 74 69 74 69 65 73 20 74 68 61 74 20 63 61 6e 2c 20 69 6e 20 66 61 63 74 2c 20 62 65 20 64 65 72 tities.that.can,.in.fact,.be.der
14e260 69 76 65 64 20 66 72 6f 6d 20 74 68 65 20 6f 74 68 65 72 0a 20 20 20 20 20 20 20 20 69 6e 66 6f ived.from.the.other.........info
14e280 72 6d 61 74 69 6f 6e 2e 20 20 54 68 69 73 20 61 70 70 72 6f 61 63 68 20 69 73 20 74 61 6b 65 6e rmation...This.approach.is.taken
14e2a0 20 74 6f 20 61 76 6f 69 64 69 6e 67 20 75 6e 6e 65 63 65 73 73 61 72 79 0a 20 20 20 20 20 20 20 .to.avoiding.unnecessary........
14e2c0 20 63 6f 6d 70 75 74 61 74 69 6f 6e 20 61 6e 64 20 6c 6f 73 73 20 6f 66 20 61 63 63 75 72 61 63 .computation.and.loss.of.accurac
14e2e0 79 2e 20 20 54 68 65 20 73 75 70 70 6c 65 6d 65 6e 74 61 72 79 20 71 75 61 6e 74 69 74 69 65 73 y...The.supplementary.quantities
14e300 0a 20 20 20 20 20 20 20 20 61 72 65 20 28 69 29 26 6e 62 73 70 3b 3c 49 4d 47 20 57 49 44 54 48 .........are.(i)&nbsp;<IMG.WIDTH
14e320 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 ="13".HEIGHT="14".ALIGN="BOTTOM"
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14e360 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 2c 20 77 68 69 63 68 20 69 73 20 70 72 6f 70 6f 72 74 69 T="$\alpha$">,.which.is.proporti
14e380 6f 6e 61 6c 20 74 6f 20 74 68 65 20 74 6f 74 61 6c 20 65 6e 65 72 67 79 20 6f 66 20 74 68 65 0a onal.to.the.total.energy.of.the.
14e3a0 20 20 20 20 20 20 20 20 6f 72 62 69 74 2c 20 28 69 69 29 26 6e 62 73 70 3b 74 68 65 20 68 65 6c ........orbit,.(ii)&nbsp;the.hel
14e3c0 69 6f 63 65 6e 74 72 69 63 20 64 69 73 74 61 6e 63 65 20 61 74 20 65 70 6f 63 68 2c 0a 20 20 20 iocentric.distance.at.epoch,....
14e3e0 20 20 20 20 20 28 69 69 69 29 26 6e 62 73 70 3b 74 68 65 20 6f 75 74 77 61 72 64 73 20 63 6f 6d .....(iii)&nbsp;the.outwards.com
14e400 70 6f 6e 65 6e 74 20 6f 66 20 74 68 65 20 76 65 6c 6f 63 69 74 79 20 61 74 20 74 68 65 20 67 69 ponent.of.the.velocity.at.the.gi
14e420 76 65 6e 20 65 70 6f 63 68 2c 0a 20 20 20 20 20 20 20 20 28 69 76 29 26 6e 62 73 70 3b 61 6e 20 ven.epoch,.........(iv)&nbsp;an.
14e440 65 73 74 69 6d 61 74 65 20 6f 66 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 34 22 20 48 45 49 47 estimate.of.<IMG.WIDTH="14".HEIG
14e460 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 HT="27".ALIGN="MIDDLE".BORDER="0
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14e4a0 22 3e 2c 20 74 68 65 20 60 60 75 6e 69 76 65 72 73 61 6c 20 65 63 63 65 6e 74 72 69 63 20 61 6e ">,.the.``universal.eccentric.an
14e4c0 6f 6d 61 6c 79 27 27 20 61 74 20 61 0a 20 20 20 20 20 20 20 20 67 69 76 65 6e 20 64 61 74 65 20 omaly''.at.a.........given.date.
14e4e0 61 6e 64 20 28 76 29 26 6e 62 73 70 3b 74 68 61 74 20 64 61 74 65 2e 0a 20 20 3c 44 54 3e 32 2e and.(v)&nbsp;that.date....<DT>2.
14e500 0a 3c 44 44 3e 54 68 65 20 75 6e 69 76 65 72 73 61 6c 20 65 6c 65 6d 65 6e 74 73 20 61 72 65 20 .<DD>The.universal.elements.are.
14e520 77 69 74 68 20 72 65 73 70 65 63 74 20 74 6f 20 74 68 65 20 6d 65 61 6e 20 65 71 75 61 74 6f 72 with.respect.to.the.mean.equator
14e540 20 61 6e 64 0a 20 20 20 20 20 20 20 20 65 71 75 69 6e 6f 78 20 6f 66 20 65 70 6f 63 68 20 4a 32 .and.........equinox.of.epoch.J2
14e560 30 30 30 2e 20 20 54 68 65 20 6f 72 62 69 74 61 6c 20 65 6c 65 6d 65 6e 74 73 20 70 72 6f 64 75 000...The.orbital.elements.produ
14e580 63 65 64 20 61 72 65 20 77 69 74 68 0a 20 20 20 20 20 20 20 20 72 65 73 70 65 63 74 20 74 6f 20 ced.are.with.........respect.to.
14e5a0 74 68 65 20 4a 32 30 30 30 20 65 63 6c 69 70 74 69 63 20 61 6e 64 20 6d 65 61 6e 20 65 71 75 69 the.J2000.ecliptic.and.mean.equi
14e5c0 6e 6f 78 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 72 65 65 20 64 69 66 66 65 72 65 6e nox....<DT>3..<DD>Three.differen
14e5e0 74 20 65 6c 65 6d 65 6e 74 2d 66 6f 72 6d 61 74 20 6f 70 74 69 6f 6e 73 20 61 72 65 20 73 75 70 t.element-format.options.are.sup
14e600 70 6f 72 74 65 64 2c 20 61 73 0a 20 20 20 20 20 20 20 20 66 6f 6c 6c 6f 77 73 2e 20 3c 42 52 3e ported,.as.........follows..<BR>
14e620 0a 3c 50 3e 0a 4a 46 4f 52 4d 3d 31 2c 20 73 75 69 74 61 62 6c 65 20 66 6f 72 20 74 68 65 20 6d .<P>.JFORM=1,.suitable.for.the.m
14e640 61 6a 6f 72 20 70 6c 61 6e 65 74 73 3a 0a 3c 50 3e 20 20 20 20 20 20 20 20 3c 50 52 45 3e 3c 54 ajor.planets:.<P>........<PRE><T
14e660 54 3e 0a 20 09 09 20 45 50 4f 43 48 20 09 09 20 3d 20 09 09 20 65 70 6f 63 68 20 6f 66 20 65 6c T>.....EPOCH....=....epoch.of.el
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14efa0 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 31 20 09 09 20 4f 4b 3a &nbsp;&nbsp;&nbsp;&nbsp;1....OK:
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14f040 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 31 20 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1.
14f060 09 09 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 ...&nbsp;&nbsp;&nbsp;&nbsp;&nbsp
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14f0a0 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 32 20 09 09 bsp;&nbsp;&nbsp;&nbsp;&nbsp;2...
14f0c0 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 31 .&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1
14f0e0 20 09 09 20 6e 65 76 65 72 20 68 61 70 70 65 6e 73 0a 09 09 20 26 6e 62 73 70 3b 26 6e 62 73 70 ....never.happens....&nbsp;&nbsp
14f100 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 32 20 09 09 20 26 6e 62 73 70 3b 26 6e ;&nbsp;&nbsp;&nbsp;2....&nbsp;&n
14f120 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 32 20 09 09 20 4f 4b 3a 20 65 bsp;&nbsp;&nbsp;&nbsp;2....OK:.e
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14f160 6d 61 74 0a 09 09 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 mat....&nbsp;&nbsp;&nbsp;&nbsp;&
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14f1c0 6c 0a 09 09 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 l....&nbsp;&nbsp;&nbsp;&nbsp;&nb
14f1e0 73 70 3b 33 20 09 09 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b sp;3....&nbsp;&nbsp;&nbsp;&nbsp;
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14f220 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 33 20 09 09 20 26 p;&nbsp;&nbsp;&nbsp;&nbsp;3....&
14f240 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 32 20 09 nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2..
14f260 09 20 6e 65 76 65 72 20 68 61 70 70 65 6e 73 0a 09 09 20 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 ..never.happens....&nbsp;&nbsp;&
14f280 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 33 20 09 09 20 26 6e 62 73 70 3b 26 6e 62 73 nbsp;&nbsp;&nbsp;3....&nbsp;&nbs
14f2a0 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 26 6e 62 73 70 3b 33 20 09 09 20 4f 4b 3a 20 65 6c 65 p;&nbsp;&nbsp;&nbsp;3....OK:.ele
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14f4e0 3e 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 34 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c >.<IMG.WIDTH="14".HEIGHT="13".AL
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14f520 67 39 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 4f 6d 65 67 61 24 22 3e 20 0a 09 09 20 50 45 g99.gif"..ALT="$\Omega$">.....PE
14f540 52 49 48 20 09 09 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 36 22 20 48 45 49 47 48 54 3d 22 31 RIH....<IMG.WIDTH="16".HEIGHT="1
14f560 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 4".ALIGN="BOTTOM".BORDER="0"..SR
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14f5a0 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 <IMG.WIDTH="13".HEIGHT="14".ALIG
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14f660 3e 61 3c 2f 49 3e 20 3c 49 3e 61 3c 2f 49 3e 20 3c 49 3e 71 3c 2f 49 3e 20 0a 09 09 20 45 20 09 >a</I>.<I>a</I>.<I>q</I>.....E..
14f680 09 20 3c 49 3e 65 3c 2f 49 3e 20 3c 49 3e 65 3c 2f 49 3e 20 3c 49 3e 65 3c 2f 49 3e 20 0a 09 09 ..<I>e</I>.<I>e</I>.<I>e</I>....
14f6a0 20 41 4f 52 4c 20 09 09 20 3c 49 3e 4c 3c 2f 49 3e 20 3c 49 3e 4d 3c 2f 49 3e 20 2d 0a 09 09 20 .AORL....<I>L</I>.<I>M</I>.-....
14f6c0 44 4d 20 09 09 20 3c 49 3e 6e 3c 2f 49 3e 20 2d 20 09 09 20 2d 20 20 20 20 20 20 20 20 0a 3c 2f DM....<I>n</I>.-....-.........</
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155160 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 ....<DL>.<DT><STRONG>ACTION:</ST
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155220 65 0a 28 70 6f 73 74 20 49 41 55 20 31 39 37 36 29 2e 20 20 55 73 65 20 6f 66 20 74 68 69 73 20 e.(post.IAU.1976)...Use.of.this.
155240 72 6f 75 74 69 6e 65 20 69 73 20 61 70 70 72 6f 70 72 69 61 74 65 20 77 68 65 6e 0a 20 20 20 20 routine.is.appropriate.when.....
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155280 20 77 68 65 72 65 20 6d 61 6e 79 20 73 74 61 72 20 70 6f 73 69 74 69 6f 6e 73 20 61 72 65 0a 20 .where.many.star.positions.are..
1552a0 20 20 20 20 20 20 20 20 61 6c 6c 20 74 6f 20 62 65 20 74 72 61 6e 73 66 6f 72 6d 65 64 20 66 6f ........all.to.be.transformed.fo
1552c0 72 20 6f 6e 65 20 65 70 6f 63 68 20 61 6e 64 20 65 71 75 69 6e 6f 78 2e 20 20 54 68 65 0a 20 20 r.one.epoch.and.equinox...The...
1552e0 20 20 20 20 20 20 20 73 74 61 72 2d 69 6e 64 65 70 65 6e 64 65 6e 74 20 70 61 72 61 6d 65 74 65 .......star-independent.paramete
155300 72 73 20 63 61 6e 20 62 65 20 6f 62 74 61 69 6e 65 64 20 62 79 20 63 61 6c 6c 69 6e 67 0a 20 20 rs.can.be.obtained.by.calling...
155320 20 20 20 20 20 20 20 74 68 65 20 73 6c 61 5f 4d 41 50 50 41 20 72 6f 75 74 69 6e 65 2e 0a 3c 50 .......the.sla_MAPPA.routine..<P
155340 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a >....<DT><STRONG>CALL:</STRONG>.
155360 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 41 4d 50 51 4b 20 28 52 41 2c 20 44 41 2c 20 <DD><TT>CALL.sla_AMPQK.(RA,.DA,.
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155860 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e TD.ALIGN="CENTER".NOWRAP.COLSPAN
155880 3d 31 3e 28 39 2d 31 31 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 =1>(9-11)</TD>.<TD></TD>.<TD.ALI
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1558c0 65 6e 74 72 69 63 20 45 61 72 74 68 20 76 65 6c 6f 63 69 74 79 20 69 6e 20 75 6e 69 74 73 20 6f entric.Earth.velocity.in.units.o
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155b00 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 .<TABLE.CELLPADDING=3>.<TR.VALIG
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155dc0 61 6e 64 20 73 6c 61 5f 4d 41 50 20 28 6f 72 20 73 6c 61 5f 4d 41 50 51 4b 29 20 61 72 65 0a 20 and.sla_MAP.(or.sla_MAPQK).are..
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155e20 20 20 20 20 20 20 74 68 65 20 64 69 73 63 72 65 70 61 6e 63 79 20 69 73 20 6f 6e 6c 79 20 61 62 ......the.discrepancy.is.only.ab
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1562e0 3c 42 52 3e 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d 6d 61 69 6c 3a 70 74 <BR>12.October.1999<BR>E-mail:pt
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15d080 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 36 29 3c 2f 42 3e TD>.<TD.ALIGN="LEFT"><B>D(6)</B>
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15d320 65 20 73 69 78 20 65 6c 65 6d 65 6e 74 73 20 6f 66 20 43 4f 45 46 46 53 20 3c 49 3e 61 3c 2f 49 e.six.elements.of.COEFFS.<I>a</I
15d340 3e 2c 3c 49 3e 62 3c 2f 49 3e 2c 3c 49 3e 63 3c 2f 49 3e 2c 3c 49 3e 64 3c 2f 49 3e 2c 3c 49 3e >,<I>b</I>,<I>c</I>,<I>d</I>,<I>
15d360 65 3c 2f 49 3e 20 26 61 6d 70 3b 20 3c 49 3e 66 3c 2f 49 3e 2c 0a 74 68 65 20 70 72 65 73 65 6e e</I>.&amp;.<I>f</I>,.the.presen
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15d420 55 42 3e 32 3c 2f 53 55 42 3e 3c 2f 49 3e 20 3d 20 3c 49 3e 64 3c 2f 49 3e 20 2b 20 3c 49 3e 65 UB>2</SUB></I>.=.<I>d</I>.+.<I>e
15d440 78 3c 53 55 42 3e 31 3c 2f 53 55 42 3e 3c 2f 49 3e 20 2b 20 3c 49 3e 66 79 3c 53 55 42 3e 31 3c x<SUB>1</SUB></I>.+.<I>fy<SUB>1<
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15d480 3c 44 44 3e 53 65 65 20 61 6c 73 6f 20 73 6c 61 5f 46 49 54 58 59 2c 20 73 6c 61 5f 50 58 59 2c <DD>See.also.sla_FITXY,.sla_PXY,
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161fa0 20 6f 66 0a 73 6f 6d 65 20 66 75 6e 64 61 6d 65 6e 74 61 6c 20 70 6c 61 6e 65 20 61 6e 64 20 61 .of.some.fundamental.plane.and.a
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162300 41 7a 69 6d 75 74 68 20 61 6e 64 20 67 65 6f 67 72 61 70 68 69 63 61 6c 20 6c 6f 6e 67 69 74 75 Azimuth.and.geographical.longitu
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1623e0 20 62 75 74 20 61 73 74 72 6f 6e 6f 6d 65 72 73 0a 75 73 65 64 20 74 6f 20 65 6d 70 6c 6f 79 20 .but.astronomers.used.to.employ.
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162440 69 73 20 77 69 73 65 20 74 6f 20 73 70 65 6c 6c 20 6f 75 74 20 77 68 61 74 20 63 6f 6e 76 65 6e is.wise.to.spell.out.what.conven
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1624a0 3e 0a 57 68 65 6e 20 61 70 70 6c 79 69 6e 67 20 73 70 68 65 72 69 63 61 6c 20 74 72 69 67 6f 6e >.When.applying.spherical.trigon
1624c0 6f 6d 65 74 72 79 20 66 6f 72 6d 75 6c 61 65 2c 20 61 74 74 65 6e 74 69 6f 6e 20 6d 75 73 74 20 ometry.formulae,.attention.must.
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163940 0a 3c 42 52 3e 0a 3c 42 3e 20 4e 65 78 74 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 .<BR>.<B>.Next:</B>.<A.NAME="tex
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1639a0 55 70 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 34 34 32 22 20 48 Up:</B>.<A.NAME="tex2html2442".H
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163a40 6f 6d 65 74 72 79 3c 2f 41 3e 0a 3c 42 52 3e 20 3c 48 52 3e 20 3c 50 3e 0a 3c 50 3e 3c 21 2d 2d ometry</A>.<BR>.<HR>.<P>.<P><!--
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163ac0 3e 0a 53 4c 41 4c 49 42 20 68 61 73 20 72 6f 75 74 69 6e 65 73 20 66 6f 72 20 64 65 63 6f 64 69 >.SLALIB.has.routines.for.decodi
163ae0 6e 67 20 64 65 63 69 6d 61 6c 20 6e 75 6d 62 65 72 73 0a 66 72 6f 6d 20 63 68 61 72 61 63 74 65 ng.decimal.numbers.from.characte
163b00 72 20 66 6f 72 6d 20 61 6e 64 20 66 6f 72 20 63 6f 6e 76 65 72 74 69 6e 67 20 61 6e 67 6c 65 73 r.form.and.for.converting.angles
163b20 20 74 6f 20 61 6e 64 20 66 72 6f 6d 0a 73 65 78 61 67 65 73 69 6d 61 6c 20 66 6f 72 6d 20 28 68 .to.and.from.sexagesimal.form.(h
163b40 6f 75 72 73 2c 20 6d 69 6e 75 74 65 73 2c 20 73 65 63 6f 6e 64 73 20 6f 72 20 64 65 67 72 65 65 ours,.minutes,.seconds.or.degree
163b60 73 2c 0a 61 72 63 6d 69 6e 75 74 65 73 2c 20 61 72 63 73 65 63 6f 6e 64 73 29 2e 20 20 54 68 65 s,.arcminutes,.arcseconds)...The
163b80 73 65 20 61 70 70 61 72 65 6e 74 6c 79 20 73 74 72 61 69 67 68 74 66 6f 72 77 61 72 64 0a 6f 70 se.apparently.straightforward.op
163ba0 65 72 61 74 69 6f 6e 73 20 63 6f 6e 74 61 69 6e 20 68 69 64 64 65 6e 20 74 72 61 70 73 20 77 68 erations.contain.hidden.traps.wh
163bc0 69 63 68 20 74 68 65 20 53 4c 41 4c 49 42 20 72 6f 75 74 69 6e 65 73 0a 61 76 6f 69 64 2e 0a 3c ich.the.SLALIB.routines.avoid..<
163be0 50 3e 0a 54 68 65 72 65 20 61 72 65 20 66 69 76 65 20 72 6f 75 74 69 6e 65 73 20 66 6f 72 20 64 P>.There.are.five.routines.for.d
163c00 65 63 6f 64 69 6e 67 20 6e 75 6d 62 65 72 73 20 66 72 6f 6d 20 61 20 63 68 61 72 61 63 74 65 72 ecoding.numbers.from.a.character
163c20 0a 73 74 72 69 6e 67 2c 20 73 75 63 68 20 61 73 20 6d 69 67 68 74 20 62 65 20 65 6e 74 65 72 65 .string,.such.as.might.be.entere
163c40 64 20 75 73 69 6e 67 20 61 20 6b 65 79 62 6f 61 72 64 2e 0a 54 68 65 79 20 61 6c 6c 20 77 6f 72 d.using.a.keyboard..They.all.wor
163c60 6b 20 69 6e 20 74 68 65 20 73 61 6d 65 20 73 74 79 6c 65 2c 20 61 6e 64 20 73 75 63 63 65 73 73 k.in.the.same.style,.and.success
163c80 69 76 65 20 63 61 6c 6c 73 0a 63 61 6e 20 77 6f 72 6b 20 74 68 65 69 72 20 77 61 79 20 61 6c 6f ive.calls.can.work.their.way.alo
163ca0 6e 67 20 61 20 73 69 6e 67 6c 65 20 73 74 72 69 6e 67 20 64 65 63 6f 64 69 6e 67 0a 61 20 73 65 ng.a.single.string.decoding.a.se
163cc0 71 75 65 6e 63 65 20 6f 66 20 6e 75 6d 62 65 72 73 20 6f 66 20 61 73 73 6f 72 74 65 64 20 74 79 quence.of.numbers.of.assorted.ty
163ce0 70 65 73 2e 20 20 4e 75 6d 62 65 72 0a 66 69 65 6c 64 73 20 63 61 6e 20 62 65 20 73 65 70 61 72 pes...Number.fields.can.be.separ
163d00 61 74 65 64 20 62 79 20 73 70 61 63 65 73 20 6f 72 20 63 6f 6d 6d 61 73 2c 20 61 6e 64 20 63 61 ated.by.spaces.or.commas,.and.ca
163d20 6e 20 62 65 20 64 65 66 61 75 6c 74 65 64 0a 74 6f 20 70 72 65 76 69 6f 75 73 20 76 61 6c 75 65 n.be.defaulted.to.previous.value
163d40 73 20 6f 72 20 74 6f 20 70 72 65 73 65 74 20 64 65 66 61 75 6c 74 73 2e 0a 3c 50 3e 0a 54 68 72 s.or.to.preset.defaults..<P>.Thr
163d60 65 65 20 6f 66 20 74 68 65 20 72 6f 75 74 69 6e 65 73 20 64 65 63 6f 64 65 20 73 69 6e 67 6c 65 ee.of.the.routines.decode.single
163d80 20 6e 75 6d 62 65 72 73 3a 0a 73 6c 61 5f 49 4e 54 49 4e 0a 28 69 6e 74 65 67 65 72 29 2c 0a 73 .numbers:.sla_INTIN.(integer),.s
163da0 6c 61 5f 46 4c 4f 54 49 4e 0a 28 73 69 6e 67 6c 65 20 70 72 65 63 69 73 69 6f 6e 20 66 6c 6f 61 la_FLOTIN.(single.precision.floa
163dc0 74 69 6e 67 20 70 6f 69 6e 74 29 20 61 6e 64 0a 73 6c 61 5f 44 46 4c 54 49 4e 0a 28 64 6f 75 62 ting.point).and.sla_DFLTIN.(doub
163de0 6c 65 20 70 72 65 63 69 73 69 6f 6e 29 2e 20 20 41 20 6d 69 6e 75 73 20 73 69 67 6e 20 63 61 6e le.precision)...A.minus.sign.can
163e00 20 62 65 0a 64 65 74 65 63 74 65 64 20 65 76 65 6e 20 77 68 65 6e 20 74 68 65 20 6e 75 6d 62 65 .be.detected.even.when.the.numbe
163e20 72 20 69 73 20 7a 65 72 6f 3b 20 20 74 68 69 73 20 61 76 6f 69 64 73 0a 74 68 65 20 66 72 65 71 r.is.zero;..this.avoids.the.freq
163e40 75 65 6e 74 6c 79 2d 65 6e 63 6f 75 6e 74 65 72 65 64 20 60 60 6d 69 6e 75 73 20 7a 65 72 6f 27 uently-encountered.``minus.zero'
163e60 27 20 62 75 67 2c 20 77 68 65 72 65 0a 64 65 63 6c 69 6e 61 74 69 6f 6e 73 20 3c 49 3e 65 74 63 '.bug,.where.declinations.<I>etc
163e80 2e 3c 2f 49 3e 20 69 6e 0a 74 68 65 20 72 61 6e 67 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 .</I>.in.the.range.<IMG.WIDTH="1
163ea0 38 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 8".HEIGHT="14".ALIGN="BOTTOM".BO
163ec0 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 RDER="0"..SRC="img1.gif"..ALT="$
163ee0 30 5e 7b 5c 63 69 72 63 7d 24 22 3e 20 74 6f 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 33 30 22 20 0^{\circ}$">.to.<IMG.WIDTH="30".
163f00 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 HEIGHT="27".ALIGN="MIDDLE".BORDE
163f20 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 2d 31 5e R="0"..SRC="img2.gif"..ALT="$-1^
163f40 7b 5c 63 69 72 63 7d 24 22 3e 20 6d 79 73 74 65 72 69 6f 75 73 6c 79 20 6d 69 67 72 61 74 65 20 {\circ}$">.mysteriously.migrate.
163f60 74 6f 0a 74 68 65 20 72 61 6e 67 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 38 22 20 48 45 49 to.the.range.<IMG.WIDTH="18".HEI
163f80 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 GHT="14".ALIGN="BOTTOM".BORDER="
163fa0 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 30 5e 7b 5c 63 69 0"..SRC="img1.gif"..ALT="$0^{\ci
163fc0 72 63 7d 24 22 3e 20 74 6f 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 33 30 22 20 48 45 49 47 48 54 rc}$">.to.<IMG.WIDTH="30".HEIGHT
163fe0 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="27".ALIGN="MIDDLE".BORDER="0".
164000 20 53 52 43 3d 22 69 6d 67 32 33 36 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 2b 31 5e 7b 5c 63 69 .SRC="img236.gif"..ALT="$+1^{\ci
164020 72 63 7d 24 22 3e 2e 48 65 72 65 20 69 73 20 61 6e 20 65 78 61 6d 70 6c 65 20 28 69 6e 20 46 6f rc}$">.Here.is.an.example.(in.Fo
164040 72 74 72 61 6e 29 20 77 68 65 72 65 20 77 65 20 77 69 73 68 20 74 6f 0a 72 65 61 64 20 74 77 6f rtran).where.we.wish.to.read.two
164060 20 6e 75 6d 62 65 72 73 2c 20 61 6e 64 20 69 6e 74 65 67 65 72 20 3c 54 54 3e 49 58 3c 2f 54 54 .numbers,.and.integer.<TT>IX</TT
164080 3e 20 61 6e 64 20 61 20 72 65 61 6c 2c 20 3c 54 54 3e 59 3c 2f 54 54 3e 2c 0a 77 69 74 68 20 3c >.and.a.real,.<TT>Y</TT>,.with.<
1640a0 54 54 3e 58 3c 2f 54 54 3e 20 64 65 66 61 75 6c 74 69 6e 67 20 74 6f 20 7a 65 72 6f 20 61 6e 64 TT>X</TT>.defaulting.to.zero.and
1640c0 20 3c 54 54 3e 59 3c 2f 54 54 3e 20 64 65 66 61 75 6c 74 69 6e 67 20 74 6f 0a 3c 54 54 3e 58 3c .<TT>Y</TT>.defaulting.to.<TT>X<
1640e0 2f 54 54 3e 3a 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c /TT>:.<P><PRE>.............DOUBL
164100 45 20 50 52 45 43 49 53 49 4f 4e 20 59 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 48 41 52 41 43 E.PRECISION.Y.............CHARAC
164120 54 45 52 2a 38 30 20 41 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 4e 54 45 47 45 52 20 49 58 2c TER*80.A.............INTEGER.IX,
164140 49 2c 4a 0a 0a 20 20 20 20 20 20 2a 20 20 49 6e 70 75 74 20 74 68 65 20 73 74 72 69 6e 67 20 74 I,J........*..Input.the.string.t
164160 6f 20 62 65 20 64 65 63 6f 64 65 64 0a 20 20 20 20 20 20 20 20 20 20 20 20 52 45 41 44 20 28 2a o.be.decoded.............READ.(*
164180 2c 27 28 41 29 27 29 20 41 0a 0a 20 20 20 20 20 20 2a 20 20 50 72 65 73 65 74 20 49 58 20 74 6f ,'(A)').A........*..Preset.IX.to
1641a0 20 69 74 73 20 64 65 66 61 75 6c 74 20 76 61 6c 75 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 .its.default.value.............I
1641c0 58 20 3d 20 30 0a 0a 20 20 20 20 20 20 2a 20 20 50 6f 69 6e 74 20 74 6f 20 74 68 65 20 73 74 61 X.=.0........*..Point.to.the.sta
1641e0 72 74 20 6f 66 20 74 68 65 20 73 74 72 69 6e 67 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 20 3d rt.of.the.string.............I.=
164200 20 31 0a 0a 20 20 20 20 20 20 2a 20 20 44 65 63 6f 64 65 20 61 6e 20 69 6e 74 65 67 65 72 0a 20 .1........*..Decode.an.integer..
164220 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 49 4e 54 49 4e 28 41 2c 49 2c 49 58 ...........CALL.sla_INTIN(A,I,IX
164240 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 46 20 28 4a 2e 47 54 2e 31 29 20 47 4f 20 54 ,J).............IF.(J.GT.1).GO.T
164260 4f 20 2e 2e 2e 20 28 62 61 64 20 49 58 29 0a 0a 20 20 20 20 20 20 2a 20 20 50 72 65 73 65 74 20 O.....(bad.IX)........*..Preset.
164280 59 20 74 6f 20 69 74 73 20 64 65 66 61 75 6c 74 20 76 61 6c 75 65 0a 20 20 20 20 20 20 20 20 20 Y.to.its.default.value..........
1642a0 20 20 20 59 20 3d 20 44 42 4c 45 28 49 58 29 0a 0a 20 20 20 20 20 20 2a 20 20 44 65 63 6f 64 65 ...Y.=.DBLE(IX)........*..Decode
1642c0 20 61 20 64 6f 75 62 6c 65 20 70 72 65 63 69 73 69 6f 6e 20 6e 75 6d 62 65 72 0a 20 20 20 20 20 .a.double.precision.number......
1642e0 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 46 4c 54 49 4e 28 41 2c 49 2c 59 2c 4a 29 0a .......CALL.sla_DFLTIN(A,I,Y,J).
164300 20 20 20 20 20 20 20 20 20 20 20 20 49 46 20 28 4a 2e 47 54 2e 31 29 20 47 4f 20 54 4f 20 2e 2e ............IF.(J.GT.1).GO.TO...
164320 2e 20 28 62 61 64 20 59 29 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 0a 54 77 6f 20 61 64 64 69 74 69 6f ..(bad.Y).</PRE>.<P>.Two.additio
164340 6e 61 6c 20 72 6f 75 74 69 6e 65 73 20 64 65 63 6f 64 65 20 61 20 33 2d 66 69 65 6c 64 20 73 65 nal.routines.decode.a.3-field.se
164360 78 61 67 65 73 69 6d 61 6c 20 6e 75 6d 62 65 72 3a 0a 73 6c 61 5f 41 46 49 4e 0a 28 64 65 67 72 xagesimal.number:.sla_AFIN.(degr
164380 65 65 73 2c 20 61 72 63 6d 69 6e 75 74 65 73 2c 20 61 72 63 73 65 63 6f 6e 64 73 20 74 6f 20 73 ees,.arcminutes,.arcseconds.to.s
1643a0 69 6e 67 6c 65 0a 70 72 65 63 69 73 69 6f 6e 20 72 61 64 69 61 6e 73 29 20 61 6e 64 0a 73 6c 61 ingle.precision.radians).and.sla
1643c0 5f 44 41 46 49 4e 0a 28 74 68 65 20 73 61 6d 65 20 62 75 74 20 64 6f 75 62 6c 65 20 70 72 65 63 _DAFIN.(the.same.but.double.prec
1643e0 69 73 69 6f 6e 29 2e 20 20 54 68 65 79 20 61 6c 73 6f 0a 77 6f 72 6b 20 75 73 69 6e 67 20 6f 74 ision)...They.also.work.using.ot
164400 68 65 72 20 75 6e 69 74 73 20 73 75 63 68 20 61 73 20 68 6f 75 72 73 20 3c 49 3e 65 74 63 3c 2f her.units.such.as.hours.<I>etc</
164420 49 3e 2e 20 69 66 0a 79 6f 75 20 6d 75 6c 74 69 70 6c 79 20 74 68 65 20 72 65 73 75 6c 74 20 62 I>..if.you.multiply.the.result.b
164440 79 20 74 68 65 20 61 70 70 72 6f 70 72 69 61 74 65 20 66 61 63 74 6f 72 2e 20 20 41 6e 20 65 78 y.the.appropriate.factor...An.ex
164460 61 6d 70 6c 65 0a 46 6f 72 74 72 61 6e 20 70 72 6f 67 72 61 6d 20 77 68 69 63 68 20 75 73 65 73 ample.Fortran.program.which.uses
164480 0a 73 6c 61 5f 44 41 46 49 4e 0a 77 61 73 20 67 69 76 65 6e 20 65 61 72 6c 69 65 72 2c 20 69 6e .sla_DAFIN.was.given.earlier,.in
1644a0 20 73 65 63 74 69 6f 6e 20 31 2e 32 2e 0a 3c 50 3e 0a 53 4c 41 4c 49 42 20 70 72 6f 76 69 64 65 .section.1.2..<P>.SLALIB.provide
1644c0 73 20 66 6f 75 72 20 72 6f 75 74 69 6e 65 73 20 66 6f 72 20 65 78 70 72 65 73 73 69 6e 67 20 61 s.four.routines.for.expressing.a
1644e0 6e 20 61 6e 67 6c 65 20 69 6e 20 72 61 64 69 61 6e 73 0a 69 6e 20 61 20 70 72 65 66 65 72 72 65 n.angle.in.radians.in.a.preferre
164500 64 20 72 61 6e 67 65 2e 20 20 54 68 65 20 66 75 6e 63 74 69 6f 6e 0a 73 6c 61 5f 52 41 4e 47 45 d.range...The.function.sla_RANGE
164520 0a 65 78 70 72 65 73 73 65 73 20 61 6e 20 61 6e 67 6c 65 0a 69 6e 20 74 68 65 20 72 61 6e 67 65 .expresses.an.angle.in.the.range
164540 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 35 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 .<IMG.WIDTH="25".HEIGHT="25".ALI
164560 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 GN="MIDDLE".BORDER="0"..SRC="img
164580 34 37 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 70 6d 20 5c 70 69 24 22 3e 3b 73 6c 61 5f 52 41 47.gif"..ALT="$\pm.\pi$">;sla_RA
1645a0 4e 4f 52 4d 0a 65 78 70 72 65 73 73 65 73 20 61 6e 20 61 6e 67 6c 65 20 69 6e 20 74 68 65 20 72 NORM.expresses.an.angle.in.the.r
1645c0 61 6e 67 65 0a 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 38 22 20 48 45 49 47 48 54 3d 22 32 35 22 ange.<IMG.WIDTH="48".HEIGHT="25"
1645e0 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="MIDDLE".BORDER="0"..SRC=
164600 22 69 6d 67 31 34 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 30 2d 32 5c 70 69 24 22 3e 2e 20 20 "img143.gif"..ALT="$0-2\pi$">...
164620 54 68 65 20 66 75 6e 63 74 69 6f 6e 73 0a 73 6c 61 5f 44 52 41 4e 47 45 0a 61 6e 64 0a 73 6c 61 The.functions.sla_DRANGE.and.sla
164640 5f 44 52 41 4e 52 4d 0a 61 72 65 20 64 6f 75 62 6c 65 20 70 72 65 63 69 73 69 6f 6e 20 76 65 72 _DRANRM.are.double.precision.ver
164660 73 69 6f 6e 73 2e 0a 3c 50 3e 0a 53 65 76 65 72 61 6c 20 72 6f 75 74 69 6e 65 73 0a 28 73 6c 61 sions..<P>.Several.routines.(sla
164680 5f 43 54 46 32 44 2c 0a 73 6c 61 5f 43 52 32 41 46 0a 3c 49 3e 65 74 63 2e 3c 2f 49 3e 29 20 61 _CTF2D,.sla_CR2AF.<I>etc.</I>).a
1646a0 72 65 20 70 72 6f 76 69 64 65 64 20 74 6f 20 63 6f 6e 76 65 72 74 0a 61 6e 67 6c 65 73 20 74 6f re.provided.to.convert.angles.to
1646c0 20 61 6e 64 20 66 72 6f 6d 0a 73 65 78 61 67 65 73 69 6d 61 6c 20 66 6f 72 6d 20 28 68 6f 75 72 .and.from.sexagesimal.form.(hour
1646e0 73 2c 20 6d 69 6e 75 74 65 2c 20 73 65 63 6f 6e 64 73 20 6f 72 20 64 65 67 72 65 65 73 2c 0a 61 s,.minute,.seconds.or.degrees,.a
164700 72 63 6d 69 6e 75 74 65 73 20 61 6e 64 20 61 72 63 73 65 63 6f 6e 64 73 29 2e 0a 54 68 65 79 20 rcminutes.and.arcseconds)..They.
164720 61 76 6f 69 64 20 74 68 65 20 63 6f 6d 6d 6f 6e 0a 60 60 63 6f 6e 76 65 72 74 69 6e 67 20 66 72 avoid.the.common.``converting.fr
164740 6f 6d 20 69 6e 74 65 67 65 72 20 74 6f 20 72 65 61 6c 20 61 74 20 74 68 65 20 77 72 6f 6e 67 20 om.integer.to.real.at.the.wrong.
164760 74 69 6d 65 27 27 0a 62 75 67 2c 20 77 68 69 63 68 20 70 72 6f 64 75 63 65 73 20 61 6e 67 6c 65 time''.bug,.which.produces.angle
164780 73 20 6c 69 6b 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 31 33 22 20 48 45 49 47 48 54 3d 22 s.like.<IMG.WIDTH="113".HEIGHT="
1647a0 31 37 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 17".ALIGN="BOTTOM".BORDER="0"..S
1647c0 52 43 3d 22 69 6d 67 32 33 37 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 32 34 5e 7b 68 7d 5c 2c 35 RC="img237.gif"..ALT="$24^{h}\,5
1647e0 39 5e 7b 6d 7d 5c 2c 35 39 5e 7b 73 7d 2e 39 39 39 24 22 3e 2e 48 65 72 65 20 69 73 20 61 20 70 9^{m}\,59^{s}.999$">.Here.is.a.p
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166b00 45 4d 3e 52 41 50 2c 44 41 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 EM>RAP,DAP</EM></TD>.<TH.ALIGN="
166b20 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c LEFT"><B>D</B></TH>.<TD.ALIGN="L
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166bc0 24 22 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c $">.(radians)</TD>.</TR>.<TR.VAL
166be0 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 IGN="TOP"><TD.ALIGN="LEFT"><EM>D
166c00 41 54 45 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c ATE</EM></TD>.<TD.ALIGN="LEFT"><
166c20 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f B>D</B></TD>.<TD.ALIGN="LEFT".NO
166c40 57 52 41 50 3e 55 54 43 20 64 61 74 65 2f 74 69 6d 65 20 28 4d 6f 64 69 66 69 65 64 20 4a 75 6c WRAP>UTC.date/time.(Modified.Jul
166c60 69 61 6e 20 44 61 74 65 2c 20 4a 44 2d 32 34 30 30 30 30 30 2e 35 29 3c 2f 54 44 3e 0a 3c 2f 54 ian.Date,.JD-2400000.5)</TD>.</T
166c80 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c R>.<TR.VALIGN="TOP"><TD.ALIGN="L
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166d40 74 61 24 22 3e 55 54 3a 20 20 55 54 31 2d 55 54 43 20 28 55 54 43 20 73 65 63 6f 6e 64 73 29 3c ta$">UT:..UT1-UTC.(UTC.seconds)<
166d60 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
166d80 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 45 4c 4f 4e 47 4d 3c 2f 45 4d 3e 3c 2f 54 44 ALIGN="LEFT"><EM>ELONGM</EM></TD
166da0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e >.<TD.ALIGN="LEFT"><B>D</B></TD>
166dc0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 .<TD.ALIGN="LEFT".NOWRAP>observe
166de0 72 27 73 20 6d 65 61 6e 20 6c 6f 6e 67 69 74 75 64 65 20 28 72 61 64 69 61 6e 73 2c 20 65 61 73 r's.mean.longitude.(radians,.eas
166e00 74 20 2b 76 65 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f t.+ve)</TD>.</TR>.<TR.VALIGN="TO
166e20 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 48 49 4d 3c 2f 45 4d P"><TD.ALIGN="LEFT"><EM>PHIM</EM
166e40 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e ></TD>.<TD.ALIGN="LEFT"><B>D</B>
166e60 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 </TD>.<TD.ALIGN="LEFT".NOWRAP>ob
166e80 73 65 72 76 65 72 27 73 20 6d 65 61 6e 20 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 20 server's.mean.geodetic.latitude.
166ea0 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d (radians)</TD>.</TR>.<TR.VALIGN=
166ec0 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 48 4d 3c 2f 45 "TOP"><TD.ALIGN="LEFT"><EM>HM</E
166ee0 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 M></TD>.<TD.ALIGN="LEFT"><B>D</B
166f00 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f ></TD>.<TD.ALIGN="LEFT".NOWRAP>o
166f20 62 73 65 72 76 65 72 27 73 20 68 65 69 67 68 74 20 61 62 6f 76 65 20 73 65 61 20 6c 65 76 65 6c bserver's.height.above.sea.level
166f40 20 28 6d 65 74 72 65 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d .(metres)</TD>.</TR>.<TR.VALIGN=
166f60 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 58 50 2c 59 50 "TOP"><TD.ALIGN="LEFT"><EM>XP,YP
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167000 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c ="0"..SRC="img20.gif"..ALT="$[\,
167020 78 2c 79 5c 2c 5d 24 22 3e 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 28 72 61 64 69 61 6e 73 29 3c x,y\,]$">.coordinates.(radians)<
167040 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
167060 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 54 44 4b 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c ALIGN="LEFT"><EM>TDK</EM></TD>.<
167080 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 TD.ALIGN="LEFT"><B>D</B></TD>.<T
1670a0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 6f 63 61 6c 20 61 6d 62 69 D.ALIGN="LEFT".NOWRAP>local.ambi
1670c0 65 6e 74 20 74 65 6d 70 65 72 61 74 75 72 65 20 28 64 65 67 72 65 65 73 20 4b 3b 20 73 74 64 3d ent.temperature.(degrees.K;.std=
1670e0 32 37 33 2e 31 35 35 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 273.155D0)</TD>.</TR>.<TR.VALIGN
167100 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 4d 42 3c ="TOP"><TD.ALIGN="LEFT"><EM>PMB<
167120 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c /EM></TD>.<TD.ALIGN="LEFT"><B>D<
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167160 3e 6c 6f 63 61 6c 20 61 74 6d 6f 73 70 68 65 72 69 63 20 70 72 65 73 73 75 72 65 20 28 6d 42 3b >local.atmospheric.pressure.(mB;
167180 20 73 74 64 3d 31 30 31 33 2e 32 35 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 .std=1013.25D0)</TD>.</TR>.<TR.V
1671a0 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
1671c0 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c >RH</EM></TD>.<TD.ALIGN="LEFT"><
1671e0 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f B>D</B></TD>.<TD.ALIGN="LEFT".NO
167200 57 52 41 50 3e 6c 6f 63 61 6c 20 72 65 6c 61 74 69 76 65 20 68 75 6d 69 64 69 74 79 20 28 69 6e WRAP>local.relative.humidity.(in
167220 20 74 68 65 20 72 61 6e 67 65 20 30 44 30 2d 31 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c .the.range.0D0-1D0)</TD>.</TR>.<
167240 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 TR.VALIGN="TOP"><TD.ALIGN="LEFT"
167260 3e 3c 45 4d 3e 57 4c 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 ><EM>WL</EM></TD>.<TD.ALIGN="LEF
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1672a0 22 20 4e 4f 57 52 41 50 3e 65 66 66 65 63 74 69 76 65 20 77 61 76 65 6c 65 6e 67 74 68 20 28 3c ".NOWRAP>effective.wavelength.(<
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1672e0 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 31 ="MIDDLE".BORDER="0"..SRC="img21
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167320 2e 67 2e 3c 2f 49 3e 20 30 2e 35 35 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 .g.</I>.0.55D0)</TD>.</TR>.<TR.V
167340 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
167360 3e 54 4c 52 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e >TLR</EM></TD>.<TD.ALIGN="LEFT">
167380 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e <B>D</B></TD>.<TD.ALIGN="LEFT".N
1673a0 4f 57 52 41 50 3e 74 72 6f 70 6f 73 70 68 65 72 69 63 20 6c 61 70 73 65 20 72 61 74 65 20 28 64 OWRAP>tropospheric.lapse.rate.(d
1673c0 65 67 72 65 65 73 20 4b 20 70 65 72 20 6d 65 74 72 65 2c 0a 3c 49 3e 65 2e 67 2e 3c 2f 49 3e 20 egrees.K.per.metre,.<I>e.g.</I>.
1673e0 30 2e 30 30 36 35 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 0.0065D0)</TD>.</TR>.</TABLE></D
167400 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 L>.<P>.....<DL>.<DT><STRONG>RETU
167420 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 RNED:</STRONG>.<DD>.<BR>.<TABLE.
167440 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e CELLPADDING=3>.<TR.VALIGN="TOP">
167460 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 4f 42 3c 2f 45 4d 3e 3c 2f 54 <TD.ALIGN="LEFT"><EM>AOB</EM></T
167480 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 D>.<TH.ALIGN="LEFT"><B>D</B></TH
1674a0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 >.<TD.ALIGN="LEFT".NOWRAP>observ
1674c0 65 64 20 61 7a 69 6d 75 74 68 20 28 72 61 64 69 61 6e 73 3a 20 4e 3d 30 2c 20 45 3d 3c 49 4d 47 ed.azimuth.(radians:.N=0,.E=<IMG
1674e0 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 .WIDTH="26".HEIGHT="14".ALIGN="B
167500 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 32 2e 67 69 OTTOM".BORDER="0"..SRC="img22.gi
167520 66 22 0a 20 41 4c 54 3d 22 24 39 30 5e 7b 5c 63 69 72 63 7d 24 22 3e 29 3c 2f 54 44 3e 0a 3c 2f f"..ALT="$90^{\circ}$">)</TD>.</
167540 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
167560 4c 45 46 54 22 3e 3c 45 4d 3e 5a 4f 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 LEFT"><EM>ZOB</EM></TD>.<TD.ALIG
167580 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e N="LEFT"><B>D</B></TD>.<TD.ALIGN
1675a0 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 64 20 7a 65 6e 69 74 68 20 64 ="LEFT".NOWRAP>observed.zenith.d
1675c0 69 73 74 61 6e 63 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 istance.(radians)</TD>.</TR>.<TR
1675e0 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c .VALIGN="TOP"><TD.ALIGN="LEFT"><
167600 45 4d 3e 48 4f 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 EM>HOB</EM></TD>.<TD.ALIGN="LEFT
167620 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 "><B>D</B></TD>.<TD.ALIGN="LEFT"
167640 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 64 20 48 6f 75 72 20 41 6e 67 6c 65 20 28 72 61 64 .NOWRAP>observed.Hour.Angle.(rad
167660 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 ians)</TD>.</TR>.<TR.VALIGN="TOP
167680 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 4f 42 3c 2f 45 4d 3e 3c "><TD.ALIGN="LEFT"><EM>DOB</EM><
1676a0 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f /TD>.<TD.ALIGN="LEFT"><B>D</B></
1676c0 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 TD>.<TD.ALIGN="LEFT".NOWRAP>obse
1676e0 72 76 65 64 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 rved.<IMG.WIDTH="10".HEIGHT="13"
167700 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="BOTTOM".BORDER="0"..SRC=
167720 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 64 65 6c 74 61 24 22 3e 20 28 72 61 "img23.gif"..ALT="$\delta$">.(ra
167740 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f dians)</TD>.</TR>.<TR.VALIGN="TO
167760 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 4f 42 3c 2f 45 4d 3e P"><TD.ALIGN="LEFT"><EM>ROB</EM>
167780 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c </TD>.<TD.ALIGN="LEFT"><B>D</B><
1677a0 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 /TD>.<TD.ALIGN="LEFT".NOWRAP>obs
1677c0 65 72 76 65 64 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 33 22 20 48 45 49 47 48 54 3d 22 31 34 erved.<IMG.WIDTH="13".HEIGHT="14
1677e0 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 ".ALIGN="BOTTOM".BORDER="0"..SRC
167800 3d 22 69 6d 67 32 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 61 6c 70 68 61 24 22 3e 20 28 72 ="img24.gif"..ALT="$\alpha$">.(r
167820 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e adians)</TD>.</TR>.</TABLE></DL>
167840 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 .<P>......<DL>.<DT><STRONG>NOTES
167860 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e :</STRONG>.<DD><DL.COMPACT>.<DT>
167880 31 2e 0a 3c 44 44 3e 54 68 69 73 20 72 6f 75 74 69 6e 65 20 72 65 74 75 72 6e 73 20 7a 65 6e 69 1..<DD>This.routine.returns.zeni
1678a0 74 68 20 64 69 73 74 61 6e 63 65 20 72 61 74 68 65 72 20 74 68 61 6e 20 65 6c 65 76 61 74 69 6f th.distance.rather.than.elevatio
1678c0 6e 0a 69 6e 20 6f 72 64 65 72 20 74 6f 20 72 65 66 6c 65 63 74 20 74 68 65 20 66 61 63 74 20 74 n.in.order.to.reflect.the.fact.t
1678e0 68 61 74 20 6e 6f 20 61 6c 6c 6f 77 61 6e 63 65 20 69 73 20 6d 61 64 65 20 66 6f 72 0a 64 65 70 hat.no.allowance.is.made.for.dep
167900 72 65 73 73 69 6f 6e 20 6f 66 20 74 68 65 20 68 6f 72 69 7a 6f 6e 2e 0a 20 20 3c 44 54 3e 32 2e ression.of.the.horizon....<DT>2.
167920 0a 3c 44 44 3e 54 68 65 20 61 63 63 75 72 61 63 79 20 6f 66 20 74 68 65 20 72 65 73 75 6c 74 20 .<DD>The.accuracy.of.the.result.
167940 69 73 20 6c 69 6d 69 74 65 64 20 62 79 20 74 68 65 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 66 6f is.limited.by.the.corrections.fo
167960 72 0a 20 20 20 20 20 20 20 20 72 65 66 72 61 63 74 69 6f 6e 2e 20 20 50 72 6f 76 69 64 69 6e 67 r.........refraction...Providing
167980 20 74 68 65 20 6d 65 74 65 6f 72 6f 6c 6f 67 69 63 61 6c 20 70 61 72 61 6d 65 74 65 72 73 20 61 .the.meteorological.parameters.a
1679a0 72 65 0a 20 20 20 20 20 20 20 20 6b 6e 6f 77 6e 20 61 63 63 75 72 61 74 65 6c 79 20 61 6e 64 20 re.........known.accurately.and.
1679c0 74 68 65 72 65 20 61 72 65 20 6e 6f 20 67 72 6f 73 73 20 6c 6f 63 61 6c 20 65 66 66 65 63 74 73 there.are.no.gross.local.effects
1679e0 2c 20 74 68 65 0a 20 20 20 20 20 20 20 20 70 72 65 64 69 63 74 65 64 20 61 7a 69 6d 75 74 68 20 ,.the.........predicted.azimuth.
167a00 61 6e 64 20 65 6c 65 76 61 74 69 6f 6e 20 73 68 6f 75 6c 64 20 62 65 20 77 69 74 68 69 6e 20 61 and.elevation.should.be.within.a
167a20 62 6f 75 74 0a 3c 50 3e 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 33 22 20 48 45 bout.<P>......<IMG.WIDTH="23".HE
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169060 49 4d 50 4f 52 54 41 4e 54 20 2d 20 54 41 4b 45 20 43 41 52 45 20 57 49 54 48 20 54 48 45 20 4c IMPORTANT.-.TAKE.CARE.WITH.THE.L
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169180 20 72 6f 75 74 69 6e 65 20 61 72 65 20 77 65 73 74 2d 70 6f 73 69 74 69 76 65 20 28 61 73 20 69 .routine.are.west-positive.(as.i
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169200 20 20 20 20 20 20 20 69 6e 20 74 68 65 20 70 72 65 73 65 6e 74 20 72 6f 75 74 69 6e 65 2e 0a 20 .......in.the.present.routine...
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1693a0 20 20 20 20 20 20 20 20 3c 49 3e 41 73 74 72 6f 6e 6f 6d 69 63 61 6c 20 41 6c 6d 61 6e 61 63 3c ........<I>Astronomical.Almanac<
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1693e0 61 6e 67 6c 65 73 2e 0a 20 20 3c 44 54 3e 31 32 2e 0a 3c 44 44 3e 54 68 65 20 68 65 69 67 68 74 angles....<DT>12..<DD>The.height
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169460 41 6c 6d 61 6e 61 63 3c 2f 49 3e 20 28 53 65 63 74 69 6f 6e 20 4a 0a 20 20 20 20 20 20 20 20 69 Almanac</I>.(Section.J.........i
169480 6e 20 74 68 65 20 31 39 38 38 20 65 64 69 74 69 6f 6e 29 2c 20 6f 72 20 76 69 61 20 74 68 65 20 n.the.1988.edition),.or.via.the.
1694a0 72 6f 75 74 69 6e 65 20 73 6c 61 5f 4f 42 53 2e 20 20 49 66 20 50 2c 0a 20 20 20 20 20 20 20 20 routine.sla_OBS...If.P,.........
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1695e0 3c 49 3e 41 73 74 72 6f 70 68 79 73 69 63 61 6c 20 51 75 61 6e 74 69 74 69 65 73 3c 2f 49 3e 2c <I>Astrophysical.Quantities</I>,
169600 20 43 2e 57 2e 41 6c 6c 65 6e 2c 20 33 72 64 26 6e 62 73 70 3b 65 64 69 74 69 6f 6e 2c 0a 20 20 .C.W.Allen,.3rd&nbsp;edition,...
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1696e0 50 28 2d 48 4d 2f 28 32 39 2e 33 44 30 2a 54 53 4c 29 29 3c 2f 54 54 3e 0a 20 20 20 20 20 20 20 P(-HM/(29.3D0*TSL))</TT>........
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1697e0 20 72 6f 75 74 69 6e 65 20 61 72 65 20 77 69 74 68 0a 20 20 20 20 20 20 20 20 72 65 73 70 65 63 .routine.are.with.........respec
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169c20 57 61 6c 6c 61 63 65 3c 42 52 3e 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d Wallace<BR>12.October.1999<BR>E-
169c40 6d 61 69 6c 3a 70 74 77 40 73 74 61 72 2e 72 6c 2e 61 63 2e 75 6b 3c 2f 49 3e 0a 3c 2f 41 44 44 mail:ptw@star.rl.ac.uk</I>.</ADD
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16ac20 3c 49 3e 79 2d 3c 2f 49 3e 20 61 6e 64 20 3c 49 3e 7a 2d 3c 2f 49 3e 63 6f 6d 70 6f 6e 65 6e 74 <I>y-</I>.and.<I>z-</I>component
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16c760 33 22 20 48 52 45 46 3d 22 6e 6f 64 65 32 30 32 2e 68 74 6d 6c 22 3e 43 65 6c 65 73 74 69 61 6c 3".HREF="node202.html">Celestial
16c780 20 43 6f 6f 72 64 69 6e 61 74 65 20 53 79 73 74 65 6d 73 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e .Coordinate.Systems</A>.<BR>.<B>
16c7a0 55 70 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 34 36 31 22 20 48 Up:</B>.<A.NAME="tex2html2461".H
16c7c0 52 45 46 3d 22 6e 6f 64 65 32 30 30 2e 68 74 6d 6c 22 3e 56 65 63 74 6f 72 73 20 61 6e 64 20 4d REF="node200.html">Vectors.and.M
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16c860 6f 66 20 4e 61 76 69 67 61 74 69 6f 6e 20 50 61 6e 65 6c 2d 2d 3e 0a 3c 48 33 3e 3c 41 20 4e 41 of.Navigation.Panel-->.<H3><A.NA
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16c8a0 3e 0a 55 73 69 6e 67 20 76 65 63 74 6f 72 73 3c 2f 41 3e 0a 3c 2f 48 33 3e 0a 53 4c 41 4c 49 42 >.Using.vectors</A>.</H3>.SLALIB
16c8c0 20 70 72 6f 76 69 64 65 73 20 63 6f 6e 76 65 72 73 69 6f 6e 73 20 62 65 74 77 65 65 6e 20 73 70 .provides.conversions.between.sp
16c8e0 68 65 72 69 63 61 6c 20 61 6e 64 20 76 65 63 74 6f 72 0a 66 6f 72 6d 0a 28 73 6c 61 5f 43 53 32 herical.and.vector.form.(sla_CS2
16c900 43 2c 0a 73 6c 61 5f 43 43 32 53 0a 3c 49 3e 65 74 63 2e 3c 2f 49 3e 29 2c 20 70 6c 75 73 20 61 C,.sla_CC2S.<I>etc.</I>),.plus.a
16c920 6e 20 61 73 73 6f 72 74 6d 65 6e 74 0a 6f 66 20 73 74 61 6e 64 61 72 64 20 76 65 63 74 6f 72 20 n.assortment.of.standard.vector.
16c940 61 6e 64 20 6d 61 74 72 69 78 20 6f 70 65 72 61 74 69 6f 6e 73 0a 28 73 6c 61 5f 56 44 56 2c 0a and.matrix.operations.(sla_VDV,.
16c960 73 6c 61 5f 4d 58 56 0a 3c 49 3e 65 74 63 2e 3c 2f 49 3e 29 2e 0a 54 68 65 72 65 20 61 72 65 20 sla_MXV.<I>etc.</I>)..There.are.
16c980 61 6c 73 6f 20 72 6f 75 74 69 6e 65 73 0a 28 73 6c 61 5f 45 55 4c 45 52 0a 3c 49 3e 65 74 63 2e also.routines.(sla_EULER.<I>etc.
16c9a0 3c 2f 49 3e 29 20 66 6f 72 20 63 72 65 61 74 69 6e 67 20 61 20 72 6f 74 61 74 69 6f 6e 20 6d 61 </I>).for.creating.a.rotation.ma
16c9c0 74 72 69 78 0a 66 72 6f 6d 20 74 68 72 65 65 20 3c 49 3e 45 75 6c 65 72 20 61 6e 67 6c 65 73 3c trix.from.three.<I>Euler.angles<
16c9e0 2f 49 3e 20 28 73 75 63 63 65 73 73 69 76 65 20 72 6f 74 61 74 69 6f 6e 73 20 61 62 6f 75 74 0a /I>.(successive.rotations.about.
16ca00 73 70 65 63 69 66 69 65 64 20 43 61 72 74 65 73 69 61 6e 20 61 78 65 73 29 2e 20 20 49 6e 73 74 specified.Cartesian.axes)...Inst
16ca20 65 61 64 20 6f 66 20 45 75 6c 65 72 20 61 6e 67 6c 65 73 2c 20 61 20 72 6f 74 61 74 69 6f 6e 0a ead.of.Euler.angles,.a.rotation.
16ca40 6d 61 74 72 69 78 20 63 61 6e 20 62 65 20 65 78 70 72 65 73 73 65 64 20 61 73 20 61 6e 20 3c 49 matrix.can.be.expressed.as.an.<I
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16caa0 6f 74 61 74 69 6f 6e 29 2c 20 61 6e 64 20 72 6f 75 74 69 6e 65 73 20 61 72 65 20 70 72 6f 76 69 otation),.and.routines.are.provi
16cac0 64 65 64 20 66 6f 72 20 74 68 69 73 0a 28 73 6c 61 5f 41 56 32 4d 2c 0a 73 6c 61 5f 4d 32 41 56 ded.for.this.(sla_AV2M,.sla_M2AV
16cae0 0a 3c 49 3e 65 74 63 2e 3c 2f 49 3e 29 2e 0a 3c 50 3e 0a 48 65 72 65 20 69 73 20 61 6e 20 65 78 .<I>etc.</I>)..<P>.Here.is.an.ex
16cb00 61 6d 70 6c 65 20 77 68 65 72 65 20 73 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 ample.where.spherical.coordinate
16cb20 73 20 3c 54 54 3e 50 31 3c 2f 54 54 3e 20 61 6e 64 20 3c 54 54 3e 51 31 3c 2f 54 54 3e 0a 75 6e s.<TT>P1</TT>.and.<TT>Q1</TT>.un
16cb40 64 65 72 67 6f 20 61 20 63 6f 6f 72 64 69 6e 61 74 65 20 74 72 61 6e 73 66 6f 72 6d 61 74 69 6f dergo.a.coordinate.transformatio
16cb60 6e 20 61 6e 64 20 62 65 63 6f 6d 65 20 3c 54 54 3e 50 32 3c 2f 54 54 3e 20 61 6e 64 20 3c 54 54 n.and.become.<TT>P2</TT>.and.<TT
16cb80 3e 51 32 3c 2f 54 54 3e 3b 0a 74 68 65 20 74 72 61 6e 73 66 6f 72 6d 61 74 69 6f 6e 20 63 6f 6e >Q2</TT>;.the.transformation.con
16cba0 73 69 73 74 73 20 6f 66 20 61 20 72 6f 74 61 74 69 6f 6e 20 6f 66 20 74 68 65 20 63 6f 6f 72 64 sists.of.a.rotation.of.the.coord
16cbc0 69 6e 61 74 65 20 73 79 73 74 65 6d 0a 74 68 72 6f 75 67 68 20 61 6e 67 6c 65 73 20 3c 54 54 3e inate.system.through.angles.<TT>
16cbe0 41 3c 2f 54 54 3e 2c 20 3c 54 54 3e 42 3c 2f 54 54 3e 20 61 6e 64 20 3c 54 54 3e 43 3c 2f 54 54 A</TT>,.<TT>B</TT>.and.<TT>C</TT
16cc00 3e 20 61 62 6f 75 74 20 74 68 65 0a 3c 49 3e 7a 3c 2f 49 3e 2c 20 6e 65 77 20 3c 49 3e 79 3c 2f >.about.the.<I>z</I>,.new.<I>y</
16cc20 49 3e 20 61 6e 64 20 6e 65 77 20 3c 49 3e 7a 3c 2f 49 3e 20 61 78 65 73 20 72 65 73 70 65 63 74 I>.and.new.<I>z</I>.axes.respect
16cc40 69 76 65 6c 79 3a 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 52 45 41 4c ively:.<P><PRE>.............REAL
16cc60 20 41 2c 42 2c 43 2c 52 28 33 2c 33 29 2c 50 31 2c 51 31 2c 56 31 28 33 29 2c 56 32 28 33 29 2c .A,B,C,R(3,3),P1,Q1,V1(3),V2(3),
16cc80 50 32 2c 51 32 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 3a 0a 20 20 20 20 20 20 2a 20 20 43 72 P2,Q2..............:.......*..Cr
16cca0 65 61 74 65 20 72 6f 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 20 eate.rotation.matrix............
16ccc0 20 43 41 4c 4c 20 73 6c 61 5f 45 55 4c 45 52 28 27 5a 59 5a 27 2c 41 2c 42 2c 43 2c 52 29 0a 0a .CALL.sla_EULER('ZYZ',A,B,C,R)..
16cce0 20 20 20 20 20 20 2a 20 20 54 72 61 6e 73 66 6f 72 6d 20 70 6f 73 69 74 69 6f 6e 20 28 50 2c 51 ......*..Transform.position.(P,Q
16cd00 29 20 66 72 6f 6d 20 73 70 68 65 72 69 63 61 6c 20 74 6f 20 43 61 72 74 65 73 69 61 6e 0a 20 20 ).from.spherical.to.Cartesian...
16cd20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 43 53 32 43 28 50 31 2c 51 31 2c 56 31 ..........CALL.sla_CS2C(P1,Q1,V1
16cd40 29 0a 0a 20 20 20 20 20 20 2a 20 20 4d 75 6c 74 69 70 6c 79 20 62 79 20 72 6f 74 61 74 69 6f 6e )........*..Multiply.by.rotation
16cd60 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 4d 58 56 .matrix.............CALL.sla_MXV
16cd80 28 52 2c 56 31 2c 56 32 29 0a 0a 20 20 20 20 20 20 2a 20 20 42 61 63 6b 20 74 6f 20 73 70 68 65 (R,V1,V2)........*..Back.to.sphe
16cda0 72 69 63 61 6c 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 43 43 32 53 28 rical.............CALL.sla_CC2S(
16cdc0 56 32 2c 50 32 2c 51 32 29 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 0a 53 6d 61 6c 6c 20 61 64 6a 75 73 V2,P2,Q2).</PRE>.<P>.Small.adjus
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16ce00 69 74 69 6f 6e 0a 76 65 63 74 6f 72 20 61 72 65 20 6f 66 74 65 6e 20 6d 6f 73 74 20 63 6f 6e 76 ition.vector.are.often.most.conv
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16cec0 63 6f 72 72 65 63 74 69 6f 6e 0a 76 65 63 74 6f 72 20 6e 65 65 64 73 20 63 61 72 65 66 75 6c 20 correction.vector.needs.careful.
16cee0 68 61 6e 64 6c 69 6e 67 20 69 66 20 74 68 65 20 70 6f 73 69 74 69 6f 6e 0a 76 65 63 74 6f 72 20 handling.if.the.position.vector.
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16cfa0 79 2c 7a 5c 2c 5d 24 22 3e 20 63 6f 6d 70 6f 6e 65 6e 74 73 20 61 72 65 20 61 6c 77 61 79 73 20 y,z\,]$">.components.are.always.
16cfc0 61 76 61 69 6c 61 62 6c 65 20 74 6f 20 6d 65 61 6e 20 74 68 65 20 63 6f 73 69 6e 65 73 20 6f 66 available.to.mean.the.cosines.of
16cfe0 0a 74 68 65 20 61 6e 67 6c 65 73 20 62 65 74 77 65 65 6e 20 74 68 65 20 76 65 63 74 6f 72 20 61 .the.angles.between.the.vector.a
16d000 6e 64 20 74 68 65 20 61 78 69 73 20 63 6f 6e 63 65 72 6e 65 64 2e 20 20 54 77 6f 20 74 79 70 65 nd.the.axis.concerned...Two.type
16d020 73 0a 6f 66 20 73 68 69 66 74 73 20 61 72 65 20 63 6f 6d 6d 6f 6e 6c 79 20 75 73 65 64 2c 0a 74 s.of.shifts.are.commonly.used,.t
16d040 68 65 20 66 69 72 73 74 20 77 68 65 72 65 20 61 20 73 6d 61 6c 6c 20 76 65 63 74 6f 72 20 6f 66 he.first.where.a.small.vector.of
16d060 20 61 72 62 69 74 72 61 72 79 20 64 69 72 65 63 74 69 6f 6e 20 69 73 0a 61 64 64 65 64 20 74 6f .arbitrary.direction.is.added.to
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171a60 3e 0a 54 68 69 73 20 73 69 6d 70 6c 65 20 70 69 63 74 75 72 65 20 69 73 20 75 6e 66 6f 72 74 75 >.This.simple.picture.is.unfortu
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171e00 6f 6e 65 20 72 65 76 6f 6c 75 74 69 6f 6e 20 69 6e 20 61 62 6f 75 74 20 32 36 2c 30 30 30 20 79 one.revolution.in.about.26,000.y
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172040 0a 41 6c 74 68 6f 75 67 68 20 74 68 65 20 45 61 72 74 68 20 69 73 20 69 6e 20 66 72 65 65 20 66 .Although.the.Earth.is.in.free.f
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172100 6c 69 6d 69 6e 61 74 65 20 74 68 65 20 74 69 6c 74 2e 20 20 53 69 78 20 6d 6f 6e 74 68 73 20 6c liminate.the.tilt...Six.months.l
172120 61 74 65 72 20 74 68 65 20 73 61 6d 65 20 74 68 69 6e 67 0a 69 73 20 68 61 70 70 65 6e 69 6e 67 ater.the.same.thing.is.happening
172140 20 69 6e 20 72 65 76 65 72 73 65 2c 20 65 78 63 65 70 74 20 74 68 61 74 20 74 68 65 20 74 6f 72 .in.reverse,.except.that.the.tor
172160 71 75 65 20 69 73 20 73 74 69 6c 6c 0a 74 72 79 69 6e 67 20 74 6f 20 65 6c 69 6d 69 6e 61 74 65 que.is.still.trying.to.eliminate
172180 20 74 68 65 20 74 69 6c 74 2e 20 20 49 6e 20 62 65 74 77 65 65 6e 20 28 61 74 20 74 68 65 20 65 .the.tilt...In.between.(at.the.e
1721a0 71 75 69 6e 6f 78 65 73 29 20 74 68 65 0a 74 6f 72 71 75 65 20 73 68 72 69 6e 6b 73 20 74 6f 20 quinoxes).the.torque.shrinks.to.
1721c0 7a 65 72 6f 2e 20 20 41 20 74 6f 72 71 75 65 20 61 63 74 69 6e 67 20 6f 6e 20 61 20 73 70 69 6e zero...A.torque.acting.on.a.spin
1721e0 6e 69 6e 67 20 62 6f 64 79 0a 69 73 20 67 79 72 6f 73 63 6f 70 69 63 61 6c 6c 79 20 74 72 61 6e ning.body.is.gyroscopically.tran
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172320 20 77 68 69 63 68 20 70 65 61 6b 73 20 74 77 69 63 65 0a 70 65 72 20 6d 6f 6e 74 68 2e 20 20 54 .which.peaks.twice.per.month...T
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172360 20 6d 6f 72 65 20 74 68 61 6e 20 63 6f 6d 70 65 6e 73 61 74 65 73 0a 66 6f 72 20 69 74 73 20 73 .more.than.compensates.for.its.s
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176d00 4a 75 6c 69 61 6e 20 65 70 6f 63 68 3c 2f 49 3e 2c 20 77 61 73 20 61 64 6f 70 74 65 64 20 61 73 Julian.epoch</I>,.was.adopted.as
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176ec0 54 6f 20 64 69 73 74 69 6e 67 75 69 73 68 20 74 68 65 20 74 77 6f 20 73 79 73 74 65 6d 73 2c 20 To.distinguish.the.two.systems,.
176ee0 42 65 73 73 65 6c 69 61 6e 20 65 70 6f 63 68 73 0a 61 72 65 20 6e 6f 77 20 70 72 65 66 69 78 65 Besselian.epochs.are.now.prefixe
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17b480 36 20 61 72 65 20 66 72 65 65 20 6f 66 20 74 68 65 73 65 20 64 69 73 74 6f 72 74 69 6f 6e 73 2c 6.are.free.of.these.distortions,
17b4a0 20 61 6e 64 20 74 6f 0a 61 70 70 6c 79 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 66 6f 72 20 61 6e .and.to.apply.corrections.for.an
17b4c0 6e 75 61 6c 20 61 62 65 72 72 61 74 69 6f 6e 20 69 6e 76 6f 6c 76 65 73 20 74 68 65 20 61 63 74 nual.aberration.involves.the.act
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17d020 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 .<TR.VALIGN="TOP"><TD.ALIGN="LEF
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17d060 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c LEFT"><B>D</B></TD>.<TD.ALIGN="L
17d080 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 6f 63 61 6c 20 61 74 6d 6f 73 70 68 65 72 69 63 20 70 72 EFT".NOWRAP>local.atmospheric.pr
17d0a0 65 73 73 75 72 65 20 28 6d 42 3b 20 73 74 64 3d 31 30 31 33 2e 32 35 44 30 29 3c 2f 54 44 3e 0a essure.(mB;.std=1013.25D0)</TD>.
17d0c0 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
17d0e0 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 ="LEFT"><EM>RH</EM></TD>.<TD.ALI
17d100 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>D</B></TD>.<TD.ALIG
17d120 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 6f 63 61 6c 20 72 65 6c 61 74 69 76 65 20 68 N="LEFT".NOWRAP>local.relative.h
17d140 75 6d 69 64 69 74 79 20 28 69 6e 20 74 68 65 20 72 61 6e 67 65 20 30 44 30 2d 31 44 30 29 3c 2f umidity.(in.the.range.0D0-1D0)</
17d160 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
17d180 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 57 4c 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 LIGN="LEFT"><EM>WL</EM></TD>.<TD
17d1a0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>D</B></TD>.<TD.
17d1c0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 66 66 65 63 74 69 76 65 20 77 61 ALIGN="LEFT".NOWRAP>effective.wa
17d1e0 76 65 6c 65 6e 67 74 68 20 28 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 velength.(<IMG.WIDTH="26".HEIGHT
17d200 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="25".ALIGN="MIDDLE".BORDER="0".
17d220 20 53 52 43 3d 22 69 6d 67 32 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 6d 75 7b 5c 72 6d 20 .SRC="img21.gif"..ALT="$\mu{\rm.
17d240 6d 7d 24 22 3e 2c 20 3c 49 3e 65 2e 67 2e 3c 2f 49 3e 20 30 2e 35 35 44 30 29 3c 2f 54 44 3e 0a m}$">,.<I>e.g.</I>.0.55D0)</TD>.
17d260 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
17d280 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 54 4c 52 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c ="LEFT"><EM>TLR</EM></TD>.<TD.AL
17d2a0 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 IGN="LEFT"><B>D</B></TD>.<TD.ALI
17d2c0 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 74 72 6f 70 6f 73 70 68 65 72 69 63 20 6c 61 GN="LEFT".NOWRAP>tropospheric.la
17d2e0 70 73 65 20 72 61 74 65 20 28 64 65 67 72 65 65 73 20 4b 20 70 65 72 20 6d 65 74 72 65 2c 0a 3c pse.rate.(degrees.K.per.metre,.<
17d300 49 3e 65 2e 67 2e 3c 2f 49 3e 20 30 2e 30 30 36 35 44 30 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a I>e.g.</I>.0.0065D0)</TD>.</TR>.
17d320 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c </TABLE></DL>.<P>.....<DL>.<DT><
17d340 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c STRONG>RETURNED:</STRONG>.<DD>.<
17d360 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 BR>.<TABLE.CELLPADDING=3>.<TR.VA
17d380 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
17d3a0 41 4f 50 52 4d 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 AOPRMS</EM></TD>.<TH.ALIGN="LEFT
17d3c0 22 3e 3c 42 3e 44 28 31 34 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c "><B>D(14)</B></TH>.<TD.ALIGN="L
17d3e0 45 46 54 22 20 4e 4f 57 52 41 50 3e 73 74 61 72 2d 69 6e 64 65 70 65 6e 64 65 6e 74 20 61 70 70 EFT".NOWRAP>star-independent.app
17d400 61 72 65 6e 74 2d 74 6f 2d 6f 62 73 65 72 76 65 64 20 70 61 72 61 6d 65 74 65 72 73 3a 3c 2f 54 arent-to-observed.parameters:</T
17d420 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c D>.</TR>.<TR.VALIGN="TOP"><TD.AL
17d440 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 IGN="CENTER".NOWRAP.COLSPAN=1>(1
17d460 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 )</TD>.<TD></TD>.<TD.ALIGN="LEFT
17d480 22 20 4e 4f 57 52 41 50 3e 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 20 28 72 61 64 69 ".NOWRAP>geodetic.latitude.(radi
17d4a0 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 ans)</TD>.</TR>.<TR.VALIGN="TOP"
17d4c0 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 ><TD.ALIGN="CENTER".NOWRAP.COLSP
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17d520 65 20 6f 66 20 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 3c 2f 54 44 3e 0a 3c 2f 54 52 e.of.geodetic.latitude</TD>.</TR
17d540 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 >.<TR.VALIGN="TOP"><TD.ALIGN="CE
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17d580 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 <TD></TD>.<TD.ALIGN="LEFT".NOWRA
17d5a0 50 3e 6d 61 67 6e 69 74 75 64 65 20 6f 66 20 64 69 75 72 6e 61 6c 20 61 62 65 72 72 61 74 69 6f P>magnitude.of.diurnal.aberratio
17d5c0 6e 20 76 65 63 74 6f 72 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 n.vector</TD>.</TR>.<TR.VALIGN="
17d5e0 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 TOP"><TD.ALIGN="CENTER".NOWRAP.C
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17d620 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 68 65 69 67 68 74 20 28 48 4d 29 3c ALIGN="LEFT".NOWRAP>height.(HM)<
17d640 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
17d660 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e ALIGN="CENTER".NOWRAP.COLSPAN=1>
17d680 28 36 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 (6)</TD>.<TD></TD>.<TD.ALIGN="LE
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17d6c0 54 44 4b 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 TDK)</TD>.</TR>.<TR.VALIGN="TOP"
17d6e0 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 ><TD.ALIGN="CENTER".NOWRAP.COLSP
17d700 41 4e 3d 31 3e 28 37 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 AN=1>(7)</TD>.<TD></TD>.<TD.ALIG
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17d740 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
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17d780 38 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 8)</TD>.<TD></TD>.<TD.ALIGN="LEF
17d7a0 54 22 20 4e 4f 57 52 41 50 3e 72 65 6c 61 74 69 76 65 20 68 75 6d 69 64 69 74 79 20 28 52 48 29 T".NOWRAP>relative.humidity.(RH)
17d7c0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
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17d800 3e 28 39 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c >(9)</TD>.<TD></TD>.<TD.ALIGN="L
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17d840 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
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17d880 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 </TD>.<TD></TD>.<TD.ALIGN="LEFT"
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17d8c0 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 TR>.<TR.VALIGN="TOP"><TD.ALIGN="
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17d900 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 </TD>.<TD></TD>.<TD.ALIGN="LEFT"
17d920 20 4e 4f 57 52 41 50 3e 72 65 66 72 61 63 74 69 6f 6e 20 63 6f 6e 73 74 61 6e 74 73 20 41 20 61 .NOWRAP>refraction.constants.A.a
17d940 6e 64 20 42 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 nd.B.(radians)</TD>.</TR>.<TR.VA
17d960 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f LIGN="TOP"><TD.ALIGN="CENTER".NO
17d980 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 33 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 WRAP.COLSPAN=1>(13)</TD>.<TD></T
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17d9e0 72 65 61 6c 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 36 22 20 48 45 49 47 48 54 3d 22 31 33 22 real.<IMG.WIDTH="16".HEIGHT="13"
17da00 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="BOTTOM".BORDER="0"..SRC=
17da20 22 69 6d 67 31 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 44 65 6c 74 61 24 22 3e 55 54 27 27 "img19.gif"..ALT="$\Delta$">UT''
17da40 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e .(radians)</TD>.</TR>.<TR.VALIGN
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17da80 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 34 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c .COLSPAN=1>(14)</TD>.<TD></TD>.<
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17dac0 61 72 65 6e 74 20 73 69 64 65 72 65 61 6c 20 74 69 6d 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 arent.sidereal.time.(radians)</T
17dae0 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 D>.</TR>.</TABLE></DL>.<P>......
17db00 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e <DL>.<DT><STRONG>NOTES:</STRONG>
17db20 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 49 74 20 .<DD><DL.COMPACT>.<DT>1..<DD>It.
17db40 69 73 20 61 64 76 69 73 61 62 6c 65 20 74 6f 20 74 61 6b 65 20 67 72 65 61 74 20 63 61 72 65 20 is.advisable.to.take.great.care.
17db60 77 69 74 68 20 75 6e 69 74 73 2c 20 61 73 20 65 76 65 6e 0a 75 6e 6c 69 6b 65 6c 79 20 76 61 6c with.units,.as.even.unlikely.val
17db80 75 65 73 20 6f 66 20 74 68 65 20 69 6e 70 75 74 20 70 61 72 61 6d 65 74 65 72 73 20 61 72 65 20 ues.of.the.input.parameters.are.
17dba0 61 63 63 65 70 74 65 64 20 61 6e 64 0a 70 72 6f 63 65 73 73 65 64 20 69 6e 20 61 63 63 6f 72 64 accepted.and.processed.in.accord
17dbc0 61 6e 63 65 20 77 69 74 68 20 74 68 65 20 6d 6f 64 65 6c 73 20 75 73 65 64 2e 0a 20 20 3c 44 54 ance.with.the.models.used....<DT
17dbe0 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 44 41 54 45 20 61 72 67 75 6d 65 6e 74 20 69 73 20 55 54 43 >2..<DD>The.DATE.argument.is.UTC
17dc00 20 65 78 70 72 65 73 73 65 64 20 61 73 20 61 6e 20 4d 4a 44 2e 20 20 54 68 69 73 20 69 73 2c 0a .expressed.as.an.MJD...This.is,.
17dc20 20 20 20 20 20 20 20 20 73 74 72 69 63 74 6c 79 20 73 70 65 61 6b 69 6e 67 2c 20 77 72 6f 6e 67 ........strictly.speaking,.wrong
17dc40 2c 20 62 65 63 61 75 73 65 20 6f 66 20 6c 65 61 70 20 73 65 63 6f 6e 64 73 2e 20 20 48 6f 77 65 ,.because.of.leap.seconds...Howe
17dc60 76 65 72 2c 0a 20 20 20 20 20 20 20 20 61 73 20 6c 6f 6e 67 20 61 73 20 74 68 65 20 3c 49 4d 47 ver,.........as.long.as.the.<IMG
17dc80 20 57 49 44 54 48 3d 22 31 36 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 .WIDTH="16".HEIGHT="13".ALIGN="B
17dca0 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 39 2e 67 69 OTTOM".BORDER="0"..SRC="img19.gi
17dcc0 66 22 0a 20 41 4c 54 3d 22 24 5c 44 65 6c 74 61 24 22 3e 55 54 20 61 6e 64 20 74 68 65 20 55 54 f"..ALT="$\Delta$">UT.and.the.UT
17dce0 43 20 61 72 65 20 63 6f 6e 73 69 73 74 65 6e 74 20 74 68 65 72 65 0a 20 20 20 20 20 20 20 20 61 C.are.consistent.there.........a
17dd00 72 65 20 6e 6f 20 64 69 66 66 69 63 75 6c 74 69 65 73 2c 20 65 78 63 65 70 74 20 64 75 72 69 6e re.no.difficulties,.except.durin
17dd20 67 20 61 20 6c 65 61 70 20 73 65 63 6f 6e 64 2e 20 20 49 6e 20 74 68 69 73 0a 20 20 20 20 20 20 g.a.leap.second...In.this.......
17dd40 20 20 63 61 73 65 2c 20 74 68 65 20 73 74 61 72 74 20 6f 66 20 74 68 65 20 36 31 73 74 20 73 65 ..case,.the.start.of.the.61st.se
17dd60 63 6f 6e 64 20 6f 66 20 74 68 65 20 66 69 6e 61 6c 20 6d 69 6e 75 74 65 20 73 68 6f 75 6c 64 0a cond.of.the.final.minute.should.
17dd80 20 20 20 20 20 20 20 20 62 65 67 69 6e 20 61 20 6e 65 77 20 4d 4a 44 20 64 61 79 20 61 6e 64 20 ........begin.a.new.MJD.day.and.
17dda0 74 68 65 20 6f 6c 64 20 70 72 65 2d 6c 65 61 70 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 36 22 the.old.pre-leap.<IMG.WIDTH="16"
17ddc0 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 .HEIGHT="13".ALIGN="BOTTOM".BORD
17dde0 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c ER="0"..SRC="img19.gif"..ALT="$\
17de00 44 65 6c 74 61 24 22 3e 55 54 20 73 68 6f 75 6c 64 0a 20 20 20 20 20 20 20 20 63 6f 6e 74 69 6e Delta$">UT.should.........contin
17de20 75 65 20 74 6f 20 62 65 20 75 73 65 64 2e 20 20 41 73 20 74 68 65 20 36 31 73 74 20 73 65 63 6f ue.to.be.used...As.the.61st.seco
17de40 6e 64 20 63 6f 6d 70 6c 65 74 65 73 2c 20 74 68 65 20 4d 4a 44 0a 20 20 20 20 20 20 20 20 73 68 nd.completes,.the.MJD.........sh
17de60 6f 75 6c 64 20 72 65 76 65 72 74 20 74 6f 20 74 68 65 20 73 74 61 72 74 20 6f 66 20 74 68 65 20 ould.revert.to.the.start.of.the.
17de80 64 61 79 20 61 73 2c 20 73 69 6d 75 6c 74 61 6e 65 6f 75 73 6c 79 2c 0a 20 20 20 20 20 20 20 20 day.as,.simultaneously,.........
17dea0 74 68 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 36 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 the.<IMG.WIDTH="16".HEIGHT="13".
17dec0 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 ALIGN="BOTTOM".BORDER="0"..SRC="
17dee0 69 6d 67 31 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 44 65 6c 74 61 24 22 3e 55 54 20 63 68 img19.gif"..ALT="$\Delta$">UT.ch
17df00 61 6e 67 65 73 20 62 79 20 6f 6e 65 20 73 65 63 6f 6e 64 20 74 6f 20 69 74 73 20 70 6f 73 74 2d anges.by.one.second.to.its.post-
17df20 6c 65 61 70 20 6e 65 77 20 76 61 6c 75 65 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 leap.new.value....<DT>3..<DD>The
17df40 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 36 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 .<IMG.WIDTH="16".HEIGHT="13".ALI
17df60 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 GN="BOTTOM".BORDER="0"..SRC="img
17df80 31 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 44 65 6c 74 61 24 22 3e 55 54 20 28 55 54 31 2d 19.gif"..ALT="$\Delta$">UT.(UT1-
17dfa0 55 54 43 29 20 69 73 20 74 61 62 75 6c 61 74 65 64 20 69 6e 20 49 45 52 53 20 63 69 72 63 75 6c UTC).is.tabulated.in.IERS.circul
17dfc0 61 72 73 20 61 6e 64 0a 20 20 20 20 20 20 20 20 65 6c 73 65 77 68 65 72 65 2e 20 20 49 74 20 69 ars.and.........elsewhere...It.i
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181ea0 0a 4d 6f 73 74 20 6f 66 20 74 68 65 20 73 74 65 70 73 20 63 61 6e 20 62 65 20 63 61 72 72 69 65 .Most.of.the.steps.can.be.carrie
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1826c0 61 72 61 6c 6c 61 78 20 3d 20 0a 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 33 39 22 arallax.=........<IMG.WIDTH="39"
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182760 72 61 64 69 61 6c 20 76 65 6c 6f 63 69 74 79 20 3d 20 2d 33 34 2e 32 32 26 6e 62 73 70 3b 6b 6d radial.velocity.=.-34.22&nbsp;km
182780 2f 73 2e 20 20 54 68 65 0a 65 70 6f 63 68 20 6f 66 20 6f 62 73 65 72 76 61 74 69 6f 6e 20 69 73 /s...The.epoch.of.observation.is
1827a0 20 31 39 39 34 2e 33 35 2e 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 .1994.35..<P><PRE>.............I
1827c0 4d 50 4c 49 43 49 54 20 4e 4f 4e 45 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 MPLICIT.NONE.............DOUBLE.
1827e0 50 52 45 43 49 53 49 4f 4e 20 41 53 32 52 2c 53 32 52 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 PRECISION.AS2R,S2R.............P
182800 41 52 41 4d 45 54 45 52 20 28 41 53 32 52 3d 34 2e 38 34 38 31 33 36 38 31 31 30 39 35 33 35 39 ARAMETER.(AS2R=4.848136811095359
182820 39 44 2d 36 2c 53 32 52 3d 37 2e 32 37 32 32 30 35 32 31 36 36 34 33 30 33 39 39 44 2d 35 29 0a 9D-6,S2R=7.2722052166430399D-5).
182840 20 20 20 20 20 20 20 20 20 20 20 20 49 4e 54 45 47 45 52 20 4a 2c 49 0a 20 20 20 20 20 20 20 20 ............INTEGER.J,I.........
182860 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 52 30 2c 44 30 2c 45 51 30 2c 45 ....DOUBLE.PRECISION.R0,D0,EQ0,E
182880 50 30 2c 50 52 2c 50 44 2c 50 58 2c 52 56 2c 45 50 31 2c 52 31 2c 44 31 2c 52 32 2c 44 32 2c 52 P0,PR,PD,PX,RV,EP1,R1,D1,R2,D2,R
1828a0 33 2c 44 33 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 3,D3,............:..............
1828c0 20 20 20 52 34 2c 44 34 2c 52 35 2c 44 35 2c 52 36 2c 44 36 2c 45 50 31 44 2c 45 50 31 42 2c 57 ...R4,D4,R5,D5,R6,D6,EP1D,EP1B,W
1828e0 28 33 29 2c 45 42 28 33 29 2c 50 58 52 2c 56 28 33 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 (3),EB(3),PXR,V(3).............D
182900 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 73 6c 61 5f 45 50 42 2c 73 6c 61 5f 45 50 4a 32 OUBLE.PRECISION.sla_EPB,sla_EPJ2
182920 44 0a 0a 20 20 20 20 20 20 2a 20 20 52 41 2c 20 44 65 63 20 65 74 63 20 6f 66 20 65 78 61 6d 70 D........*..RA,.Dec.etc.of.examp
182940 6c 65 20 73 74 61 72 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 54 46 le.star.............CALL.sla_DTF
182960 32 52 28 31 36 2c 30 39 2c 35 35 2e 31 33 44 30 2c 52 30 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 2R(16,09,55.13D0,R0,J)..........
182980 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 41 46 32 52 28 37 35 2c 35 39 2c 32 37 2e 32 44 30 2c 44 ...CALL.sla_DAF2R(75,59,27.2D0,D
1829a0 30 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 30 3d 2d 44 30 0a 20 20 20 20 20 20 20 20 0,J).............D0=-D0.........
1829c0 20 20 20 20 45 51 30 3d 31 39 30 30 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 50 30 3d 31 ....EQ0=1900D0.............EP0=1
1829e0 39 36 33 2e 30 38 37 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 52 3d 2d 30 2e 30 33 31 32 963.087D0.............PR=-0.0312
182a00 44 30 2a 53 32 52 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 44 3d 2b 30 2e 31 30 33 44 30 2a 41 D0*S2R.............PD=+0.103D0*A
182a20 53 32 52 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 58 3d 30 2e 30 36 32 44 30 0a 20 20 20 20 20 S2R.............PX=0.062D0......
182a40 20 20 20 20 20 20 20 52 56 3d 2d 33 34 2e 32 32 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 .......RV=-34.22D0.............E
182a60 50 31 3d 31 39 39 34 2e 33 35 44 30 0a 0a 20 20 20 20 20 20 2a 20 20 45 70 6f 63 68 20 6f 66 20 P1=1994.35D0........*..Epoch.of.
182a80 6f 62 73 65 72 76 61 74 69 6f 6e 20 61 73 20 4d 4a 44 20 61 6e 64 20 42 65 73 73 65 6c 69 61 6e observation.as.MJD.and.Besselian
182aa0 20 65 70 6f 63 68 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 50 31 44 3d 73 6c 61 5f 45 50 4a 32 .epoch.............EP1D=sla_EPJ2
182ac0 44 28 45 50 31 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 50 31 42 3d 73 6c 61 5f 45 50 42 28 D(EP1).............EP1B=sla_EPB(
182ae0 45 50 31 44 29 0a 0a 20 20 20 20 20 20 2a 20 20 53 70 61 63 65 20 6d 6f 74 69 6f 6e 20 74 6f 20 EP1D)........*..Space.motion.to.
182b00 74 68 65 20 63 75 72 72 65 6e 74 20 65 70 6f 63 68 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 the.current.epoch.............CA
182b20 4c 4c 20 73 6c 61 5f 50 4d 28 52 30 2c 44 30 2c 50 52 2c 50 44 2c 50 58 2c 52 56 2c 45 50 30 2c LL.sla_PM(R0,D0,PR,PD,PX,RV,EP0,
182b40 45 50 31 42 2c 52 31 2c 44 31 29 0a 0a 20 20 20 20 20 20 2a 20 20 52 65 6d 6f 76 65 20 45 2d 74 EP1B,R1,D1)........*..Remove.E-t
182b60 65 72 6d 73 20 6f 66 20 61 62 65 72 72 61 74 69 6f 6e 20 66 6f 72 20 74 68 65 20 6f 72 69 67 69 erms.of.aberration.for.the.origi
182b80 6e 61 6c 20 65 71 75 69 6e 6f 78 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 nal.equinox.............CALL.sla
182ba0 5f 53 55 42 45 54 28 52 31 2c 44 31 2c 45 51 30 2c 52 32 2c 44 32 29 0a 0a 20 20 20 20 20 20 2a _SUBET(R1,D1,EQ0,R2,D2)........*
182bc0 20 20 50 72 65 63 65 73 73 20 74 6f 20 42 31 39 35 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 52 ..Precess.to.B1950.............R
182be0 33 3d 52 32 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 33 3d 44 32 0a 20 20 20 20 20 20 20 20 20 3=R2.............D3=D2..........
182c00 20 20 20 43 41 4c 4c 20 73 6c 61 5f 50 52 45 43 45 53 28 27 46 4b 34 27 2c 45 51 30 2c 31 39 35 ...CALL.sla_PRECES('FK4',EQ0,195
182c20 30 44 30 2c 52 33 2c 44 33 29 0a 0a 20 20 20 20 20 20 2a 20 20 41 64 64 20 45 2d 74 65 72 6d 73 0D0,R3,D3)........*..Add.E-terms
182c40 20 66 6f 72 20 74 68 65 20 73 74 61 6e 64 61 72 64 20 65 71 75 69 6e 6f 78 20 42 31 39 35 30 0a .for.the.standard.equinox.B1950.
182c60 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 41 44 44 45 54 28 52 33 2c 44 33 ............CALL.sla_ADDET(R3,D3
182c80 2c 31 39 35 30 44 30 2c 52 34 2c 44 34 29 0a 0a 20 20 20 20 20 20 2a 20 20 54 72 61 6e 73 66 6f ,1950D0,R4,D4)........*..Transfo
182ca0 72 6d 20 74 6f 20 4a 32 30 30 30 2c 20 6e 6f 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 0a 20 20 rm.to.J2000,.no.proper.motion...
182cc0 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 46 4b 34 35 5a 28 52 34 2c 44 34 2c 45 ..........CALL.sla_FK45Z(R4,D4,E
182ce0 50 31 42 2c 52 35 2c 44 35 29 0a 0a 20 20 20 20 20 20 2a 20 20 50 61 72 61 6c 6c 61 78 0a 20 20 P1B,R5,D5)........*..Parallax...
182d00 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 45 56 50 28 73 6c 61 5f 45 50 4a 32 44 ..........CALL.sla_EVP(sla_EPJ2D
182d20 28 45 50 31 29 2c 32 30 30 30 44 30 2c 57 2c 45 42 2c 57 2c 57 29 0a 20 20 20 20 20 20 20 20 20 (EP1),2000D0,W,EB,W,W)..........
182d40 20 20 20 50 58 52 3d 50 58 2a 41 53 32 52 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 ...PXR=PX*AS2R.............CALL.
182d60 73 6c 61 5f 44 43 53 32 43 28 52 35 2c 44 35 2c 56 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 sla_DCS2C(R5,D5,V).............D
182d80 4f 20 49 3d 31 2c 33 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 56 28 49 29 3d 56 28 49 29 O.I=1,3................V(I)=V(I)
182da0 2d 50 58 52 2a 45 42 28 49 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 20 20 -PXR*EB(I).............END.DO...
182dc0 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 43 43 32 53 28 56 2c 52 36 2c 44 36 ..........CALL.sla_DCC2S(V,R6,D6
182de0 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 3a 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 0a 49 74 20 69 )..............:.</PRE>.<P>.It.i
182e00 73 20 69 6e 74 65 72 65 73 74 69 6e 67 20 74 6f 20 6c 6f 6f 6b 20 61 74 20 68 6f 77 20 74 68 65 s.interesting.to.look.at.how.the
182e20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 .<IMG.WIDTH="42".HEIGHT="29".ALI
182e40 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 GN="MIDDLE".BORDER="0"..SRC="img
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182e80 5d 24 22 3e 20 63 68 61 6e 67 65 73 20 64 75 72 69 6e 67 20 74 68 65 0a 63 6f 75 72 73 65 20 6f ]$">.changes.during.the.course.o
182ea0 66 20 74 68 65 20 63 61 6c 63 75 6c 61 74 69 6f 6e 3a 0a 3c 50 52 45 3e 3c 54 54 3e 0a 09 09 20 f.the.calculation:.<PRE><TT>....
182ec0 3c 54 54 3e 31 36 20 30 39 20 35 35 2e 31 33 30 20 2d 37 35 20 35 39 20 32 37 2e 32 30 3c 2f 54 <TT>16.09.55.130.-75.59.27.20</T
182ee0 54 3e 20 09 09 20 09 09 20 3c 49 3e 6f 72 69 67 69 6e 61 6c 20 65 71 75 69 6e 6f 78 20 61 6e 64 T>.......<I>original.equinox.and
182f00 20 65 70 6f 63 68 3c 2f 49 3e 0a 09 09 20 3c 54 54 3e 31 36 20 30 39 20 35 34 2e 31 35 35 20 2d .epoch</I>....<TT>16.09.54.155.-
182f20 37 35 20 35 39 20 32 33 2e 39 38 3c 2f 54 54 3e 20 09 09 20 09 09 20 3c 49 3e 77 69 74 68 20 73 75.59.23.98</TT>.......<I>with.s
182f40 70 61 63 65 20 6d 6f 74 69 6f 6e 3c 2f 49 3e 0a 09 09 20 3c 54 54 3e 31 36 20 30 39 20 35 34 2e pace.motion</I>....<TT>16.09.54.
182f60 32 32 39 20 2d 37 35 20 35 39 20 32 34 2e 31 38 3c 2f 54 54 3e 20 09 09 20 09 09 20 3c 49 3e 77 229.-75.59.24.18</TT>.......<I>w
182f80 69 74 68 20 6f 6c 64 20 45 2d 74 65 72 6d 73 20 72 65 6d 6f 76 65 64 3c 2f 49 3e 0a 09 09 20 3c ith.old.E-terms.removed</I>....<
182fa0 54 54 3e 31 36 20 31 36 20 32 38 2e 32 31 33 20 2d 37 36 20 30 36 20 35 34 2e 35 37 3c 2f 54 54 TT>16.16.28.213.-76.06.54.57</TT
182fc0 3e 20 09 09 20 09 09 20 3c 49 3e 70 72 65 63 65 73 73 65 64 20 74 6f 20 31 39 35 30 2e 30 3c 2f >.......<I>precessed.to.1950.0</
182fe0 49 3e 0a 09 09 20 3c 54 54 3e 31 36 20 31 36 20 32 38 2e 31 33 38 20 2d 37 36 20 30 36 20 35 34 I>....<TT>16.16.28.138.-76.06.54
183000 2e 33 37 3c 2f 54 54 3e 20 09 09 20 09 09 20 3c 49 3e 77 69 74 68 20 6e 65 77 20 45 2d 74 65 72 .37</TT>.......<I>with.new.E-ter
183020 6d 73 3c 2f 49 3e 0a 09 09 20 3c 54 54 3e 31 36 20 32 33 20 30 37 2e 39 30 31 20 2d 37 36 20 31 ms</I>....<TT>16.23.07.901.-76.1
183040 33 20 35 38 2e 38 37 3c 2f 54 54 3e 20 09 09 20 09 09 20 3c 49 3e 4a 32 30 30 30 2c 20 63 75 72 3.58.87</TT>.......<I>J2000,.cur
183060 72 65 6e 74 20 65 70 6f 63 68 3c 2f 49 3e 0a 09 09 20 3c 54 54 3e 31 36 20 32 33 20 30 37 2e 39 rent.epoch</I>....<TT>16.23.07.9
183080 30 37 20 2d 37 36 20 31 33 20 35 38 2e 39 32 3c 2f 54 54 3e 20 09 09 20 09 09 20 3c 49 3e 69 6e 07.-76.13.58.92</TT>.......<I>in
1830a0 63 6c 75 64 69 6e 67 20 70 61 72 61 6c 6c 61 78 3c 2f 49 3e 0a 3c 2f 54 54 3e 3c 2f 50 52 45 3e cluding.parallax</I>.</TT></PRE>
1830c0 0a 3c 50 3e 0a 4f 74 68 65 72 20 72 65 6d 61 72 6b 73 20 61 62 6f 75 74 20 74 68 65 20 61 62 6f .<P>.Other.remarks.about.the.abo
1830e0 76 65 20 28 75 6e 75 73 75 61 6c 6c 79 20 63 6f 6d 70 6c 69 63 61 74 65 64 29 20 65 78 61 6d 70 ve.(unusually.complicated).examp
183100 6c 65 3a 0a 3c 55 4c 3e 0a 3c 4c 49 3e 20 49 66 20 74 68 65 20 6f 72 69 67 69 6e 61 6c 20 65 71 le:.<UL>.<LI>.If.the.original.eq
183120 75 69 6e 6f 78 20 61 6e 64 20 65 70 6f 63 68 20 77 65 72 65 20 42 31 39 35 30 2c 20 61 73 20 69 uinox.and.epoch.were.B1950,.as.i
183140 73 20 71 75 69 74 65 0a 20 20 20 20 20 20 6c 69 6b 65 6c 79 2c 20 74 68 65 6e 20 69 74 20 77 6f s.quite.......likely,.then.it.wo
183160 75 6c 64 20 62 65 20 75 6e 6e 65 63 65 73 73 61 72 79 20 74 6f 20 74 72 65 61 74 20 73 70 61 63 uld.be.unnecessary.to.treat.spac
183180 65 20 6d 6f 74 69 6f 6e 73 0a 20 20 20 20 20 20 61 6e 64 20 45 2d 74 65 72 6d 73 20 65 78 70 6c e.motions.......and.E-terms.expl
1831a0 69 63 69 74 6c 79 2e 20 20 54 72 61 6e 73 66 6f 72 6d 61 74 69 6f 6e 20 74 6f 20 46 4b 35 20 4a icitly...Transformation.to.FK5.J
1831c0 32 30 30 30 20 63 6f 75 6c 64 0a 20 20 20 20 20 20 62 65 20 61 63 63 6f 6d 70 6c 69 73 68 65 64 2000.could.......be.accomplished
1831e0 20 73 69 6d 70 6c 79 20 62 79 20 63 61 6c 6c 69 6e 67 0a 73 6c 61 5f 46 4b 34 32 35 2c 20 61 66 .simply.by.calling.sla_FK425,.af
183200 74 65 72 20 77 68 69 63 68 0a 20 20 20 20 20 20 61 20 63 61 6c 6c 20 74 6f 0a 73 6c 61 5f 50 4d ter.which.......a.call.to.sla_PM
183220 20 61 6e 64 20 74 68 65 20 70 61 72 61 6c 6c 61 78 20 63 6f 64 65 20 77 6f 75 6c 64 20 63 6f 6d .and.the.parallax.code.would.com
183240 70 6c 65 74 65 20 74 68 65 0a 20 20 20 20 20 20 77 6f 72 6b 2e 0a 3c 4c 49 3e 20 54 68 65 20 72 plete.the.......work..<LI>.The.r
183260 69 67 6f 72 6f 75 73 20 74 72 65 61 74 6d 65 6e 74 20 6f 66 20 74 68 65 20 45 2d 74 65 72 6d 73 igorous.treatment.of.the.E-terms
183280 0a 20 20 20 20 20 20 68 61 73 20 6f 6e 6c 79 20 61 20 73 6d 61 6c 6c 20 65 66 66 65 63 74 20 6f .......has.only.a.small.effect.o
1832a0 6e 20 74 68 65 20 72 65 73 75 6c 74 2e 20 20 53 75 63 68 20 72 65 66 69 6e 65 6d 65 6e 74 73 0a n.the.result...Such.refinements.
1832c0 20 20 20 20 20 20 61 72 65 2c 20 6e 65 76 65 72 74 68 65 6c 65 73 73 2c 20 77 6f 72 74 68 77 68 ......are,.nevertheless,.worthwh
1832e0 69 6c 65 20 69 6e 20 6f 72 64 65 72 20 74 6f 20 66 61 63 69 6c 69 74 61 74 65 20 63 6f 6d 70 61 ile.in.order.to.facilitate.compa
183300 72 69 73 6f 6e 73 20 61 6e 64 0a 20 20 20 20 20 20 74 6f 20 69 6e 63 72 65 61 73 65 20 74 68 65 risons.and.......to.increase.the
183320 20 63 68 61 6e 63 65 73 20 74 68 61 74 20 73 74 61 72 20 70 6f 73 69 74 69 6f 6e 73 20 66 72 6f .chances.that.star.positions.fro
183340 6d 20 64 69 66 66 65 72 65 6e 74 0a 20 20 20 20 20 20 73 75 70 70 6c 69 65 72 73 20 61 72 65 20 m.different.......suppliers.are.
183360 63 6f 6d 70 61 74 69 62 6c 65 2e 0a 3c 4c 49 3e 20 54 68 65 20 46 4b 34 20 74 6f 20 46 4b 35 20 compatible..<LI>.The.FK4.to.FK5.
183380 74 72 61 6e 73 66 6f 72 6d 61 74 69 6f 6e 73 2c 0a 73 6c 61 5f 46 4b 34 32 35 0a 20 20 20 20 20 transformations,.sla_FK425......
1833a0 20 61 6e 64 0a 73 6c 61 5f 46 4b 34 35 5a 2c 0a 20 20 20 20 20 20 61 72 65 20 6e 6f 74 20 61 73 .and.sla_FK45Z,.......are.not.as
1833c0 20 69 73 20 73 6f 6d 65 74 69 6d 65 73 20 61 73 73 75 6d 65 64 20 73 69 6d 70 6c 79 20 35 30 20 .is.sometimes.assumed.simply.50.
1833e0 79 65 61 72 73 20 6f 66 20 70 72 65 63 65 73 73 69 6f 6e 2c 0a 20 20 20 20 20 20 74 68 6f 75 67 years.of.precession,.......thoug
183400 68 20 74 68 69 73 20 69 6e 64 65 65 64 20 61 63 63 6f 75 6e 74 73 20 66 6f 72 20 6d 6f 73 74 20 h.this.indeed.accounts.for.most.
183420 6f 66 20 74 68 65 20 63 68 61 6e 67 65 2e 20 20 54 68 65 0a 20 20 20 20 20 20 74 72 61 6e 73 66 of.the.change...The.......transf
183440 6f 72 6d 61 74 69 6f 6e 73 20 61 6c 73 6f 20 69 6e 63 6c 75 64 65 20 61 64 6a 75 73 74 6d 65 6e ormations.also.include.adjustmen
183460 74 73 0a 20 20 20 20 20 20 74 6f 20 74 68 65 20 65 71 75 69 6e 6f 78 2c 20 61 20 72 65 76 69 73 ts.......to.the.equinox,.a.revis
183480 65 64 20 70 72 65 63 65 73 73 69 6f 6e 20 6d 6f 64 65 6c 2c 20 65 6c 69 6d 69 6e 61 74 69 6f 6e ed.precession.model,.elimination
1834a0 20 6f 66 20 74 68 65 0a 20 20 20 20 20 20 45 2d 74 65 72 6d 73 2c 20 61 20 63 68 61 6e 67 65 20 .of.the.......E-terms,.a.change.
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184640 66 6f 72 6d 61 74 69 6f 6e 20 6f 66 20 61 6e 20 46 4b 35 20 6d 65 61 6e 20 3c 49 4d 47 20 57 49 formation.of.an.FK5.mean.<IMG.WI
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184700 77 69 6e 67 20 65 66 66 65 63 74 73 3a 0a 3c 50 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 4c 69 67 68 74 wing.effects:.<P><UL>.<LI>.Light
184720 20 64 65 66 6c 65 63 74 69 6f 6e 20 2d 20 74 68 65 20 67 72 61 76 69 74 61 74 69 6f 6e 61 6c 20 .deflection.-.the.gravitational.
184740 6c 65 6e 73 20 65 66 66 65 63 74 20 6f 66 0a 20 20 20 20 20 20 20 20 20 74 68 65 20 73 75 6e 2e lens.effect.of..........the.sun.
184760 0a 3c 4c 49 3e 20 41 6e 6e 75 61 6c 20 61 62 65 72 72 61 74 69 6f 6e 2e 0a 3c 4c 49 3e 20 50 72 .<LI>.Annual.aberration..<LI>.Pr
184780 65 63 65 73 73 69 6f 6e 2f 6e 75 74 61 74 69 6f 6e 2e 0a 3c 2f 55 4c 3e 0a 54 68 65 20 3c 49 3e ecession/nutation..</UL>.The.<I>
1847a0 6c 69 67 68 74 20 64 65 66 6c 65 63 74 69 6f 6e 3c 2f 49 3e 20 69 73 20 73 65 6c 64 6f 6d 20 73 light.deflection</I>.is.seldom.s
1847c0 69 67 6e 69 66 69 63 61 6e 74 2e 20 20 49 74 73 20 76 61 6c 75 65 0a 61 74 20 74 68 65 20 6c 69 ignificant...Its.value.at.the.li
1847e0 6d 62 20 6f 66 20 74 68 65 20 53 75 6e 20 69 73 20 61 62 6f 75 74 0a 3c 50 3e 20 20 20 20 20 20 mb.of.the.Sun.is.about.<P>......
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1848a0 64 6c 79 20 77 69 74 68 20 64 69 73 74 61 6e 63 65 20 66 72 6f 6d 20 74 68 65 0a 53 75 6e 20 61 dly.with.distance.from.the.Sun.a
1848c0 6e 64 20 68 61 73 20 73 68 72 75 6e 6b 20 74 6f 20 61 62 6f 75 74 0a 3c 50 3e 20 20 20 20 20 20 nd.has.shrunk.to.about.<P>......
1848e0 3c 49 4d 47 20 57 49 44 54 48 3d 22 33 31 22 20 48 45 49 47 48 54 3d 22 31 38 22 20 41 4c 49 47 <IMG.WIDTH="31".HEIGHT="18".ALIG
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1849e0 41 73 20 61 6c 72 65 61 64 79 20 64 65 73 63 72 69 62 65 64 2c 20 74 68 65 20 3c 49 3e 61 6e 6e As.already.described,.the.<I>ann
184a00 75 61 6c 20 61 62 65 72 72 61 74 69 6f 6e 3c 2f 49 3e 0a 69 73 20 61 20 66 75 6e 63 74 69 6f 6e ual.aberration</I>.is.a.function
184a20 20 6f 66 20 74 68 65 20 45 61 72 74 68 27 73 20 76 65 6c 6f 63 69 74 79 0a 72 65 6c 61 74 69 76 .of.the.Earth's.velocity.relativ
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184a80 6f 75 74 69 6e 65 0a 73 6c 61 5f 45 56 50 29 0a 61 6e 64 20 70 72 6f 64 75 63 65 73 20 73 68 69 outine.sla_EVP).and.produces.shi
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184c20 6e 65 20 75 73 69 6e 67 20 74 68 65 20 53 4c 41 4c 49 42 0a 72 6f 75 74 69 6e 65 0a 73 6c 61 5f ne.using.the.SLALIB.routine.sla_
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184d20 20 61 70 70 72 6f 61 63 68 20 74 6f 20 74 68 65 20 50 6f 6c 65 3a 0a 3c 50 3e 3c 50 52 45 3e 0a .approach.to.the.Pole:.<P><PRE>.
184d40 20 20 20 20 20 20 20 20 20 20 20 20 49 4d 50 4c 49 43 49 54 20 4e 4f 4e 45 0a 20 20 20 20 20 20 ............IMPLICIT.NONE.......
184d60 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 50 49 2c 50 49 42 59 32 2c ......DOUBLE.PRECISION.PI,PIBY2,
184d80 44 32 52 2c 53 32 52 2c 41 53 32 52 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 41 52 41 4d 45 54 D2R,S2R,AS2R.............PARAMET
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184dc0 33 44 30 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 41 52 41 4d 45 54 45 52 20 28 44 32 52 3d 3D0).............PARAMETER.(D2R=
184de0 50 49 2f 31 38 30 44 30 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 PI/180D0,............:..........
184e00 20 50 49 42 59 32 3d 50 49 2f 32 44 30 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 .PIBY2=PI/2D0,............:.....
184e20 20 20 20 20 20 20 53 32 52 3d 50 49 2f 28 31 32 44 30 2a 33 36 30 30 44 30 29 2c 0a 20 20 20 20 ......S2R=PI/(12D0*3600D0),.....
184e40 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 41 53 32 52 3d 50 49 2f 28 31 38 30 44 .......:...........AS2R=PI/(180D
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184ea0 20 20 20 20 20 20 20 20 20 20 20 49 4e 54 45 47 45 52 20 4a 2c 49 44 53 2c 49 44 45 2c 49 44 2c ...........INTEGER.J,IDS,IDE,ID,
184ec0 49 59 4d 44 46 28 34 29 2c 49 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 IYMDF(4),I.............DOUBLE.PR
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184f00 41 4c 4c 20 73 6c 61 5f 44 54 46 32 52 28 30 32 2c 33 31 2c 34 39 2e 38 31 33 31 44 30 2c 52 4d ALL.sla_DTF2R(02,31,49.8131D0,RM
184f20 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 41 46 32 52 28 38 ,J).............CALL.sla_DAF2R(8
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184f60 50 52 3d 2b 32 31 2e 37 32 37 32 44 30 2a 53 32 52 2f 31 30 30 44 30 0a 20 20 20 20 20 20 20 20 PR=+21.7272D0*S2R/100D0.........
184f80 20 20 20 20 50 44 3d 2d 31 2e 35 37 31 44 30 2a 41 53 32 52 2f 31 30 30 44 30 0a 20 20 20 20 20 ....PD=-1.571D0*AS2R/100D0......
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185080 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 43 4c 44 4a 28 32 31 30 35 2c 31 32 2c ..........CALL.sla_CLDJ(2105,12,
1850a0 33 31 2c 44 41 54 45 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 44 45 3d 4e 49 4e 54 28 31,DATE,J).............IDE=NINT(
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185100 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 4a 43 41 4c 28 30 2c ...............CALL.sla_DJCAL(0,
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1851c0 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 ...........END.DO..............E
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186940 20 62 65 0a 74 68 65 20 3c 49 3e 6c 6f 63 61 6c 20 61 70 70 61 72 65 6e 74 20 73 69 64 65 72 65 .be.the.<I>local.apparent.sidere
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1869c0 74 68 65 20 63 6f 6f 72 64 69 6e 61 74 65 64 20 75 6e 69 76 65 72 73 61 6c 20 74 69 6d 65 2c 20 the.coordinated.universal.time,.
1869e0 55 54 43 0a 28 6d 6f 72 65 20 6c 61 74 65 72 20 6f 6e 20 74 68 69 73 29 3b 0a 3c 44 54 3e 32 2e UTC.(more.later.on.this);.<DT>2.
186a00 0a 3c 44 44 3e 61 64 64 20 74 68 65 20 55 54 31 2d 55 54 43 20 28 74 79 70 69 63 61 6c 6c 79 20 .<DD>add.the.UT1-UTC.(typically.
186a20 61 20 66 65 77 20 74 65 6e 74 68 73 20 6f 66 20 61 20 73 65 63 6f 6e 64 29 20 74 6f 0a 20 20 20 a.few.tenths.of.a.second).to....
186a40 20 20 20 67 69 76 65 20 74 68 65 20 55 54 3b 0a 3c 44 54 3e 33 2e 0a 3c 44 44 3e 66 72 6f 6d 20 ...give.the.UT;.<DT>3..<DD>from.
186a60 74 68 65 20 55 54 20 63 6f 6d 70 75 74 65 20 74 68 65 20 47 72 65 65 6e 77 69 63 68 20 6d 65 61 the.UT.compute.the.Greenwich.mea
186a80 6e 20 73 69 64 65 72 65 61 6c 20 74 69 6d 65 20 28 75 73 69 6e 67 0a 73 6c 61 5f 47 4d 53 54 29 n.sidereal.time.(using.sla_GMST)
186aa0 3b 0a 3c 44 54 3e 34 2e 0a 3c 44 44 3e 61 64 64 20 74 68 65 20 6f 62 73 65 72 76 65 72 27 73 20 ;.<DT>4..<DD>add.the.observer's.
186ac0 28 65 61 73 74 29 20 6c 6f 6e 67 69 74 75 64 65 2c 20 67 69 76 69 6e 67 20 74 68 65 20 6c 6f 63 (east).longitude,.giving.the.loc
186ae0 61 6c 20 6d 65 61 6e 0a 20 20 20 20 20 20 73 69 64 65 72 65 61 6c 20 74 69 6d 65 3b 0a 3c 44 54 al.mean.......sidereal.time;.<DT
186b00 3e 35 2e 0a 3c 44 44 3e 61 64 64 20 74 68 65 20 65 71 75 61 74 69 6f 6e 20 6f 66 20 74 68 65 20 >5..<DD>add.the.equation.of.the.
186b20 65 71 75 69 6e 6f 78 65 73 20 28 75 73 69 6e 67 0a 73 6c 61 5f 45 51 45 51 58 29 2e 0a 3c 2f 44 equinoxes.(using.sla_EQEQX)..</D
186b40 4c 3e 0a 54 68 65 20 3c 49 3e 65 71 75 61 74 69 6f 6e 20 6f 66 20 74 68 65 20 65 71 75 69 6e 6f L>.The.<I>equation.of.the.equino
186b60 78 65 73 3c 2f 49 3e 26 6e 62 73 70 3b 28 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 38 22 20 48 45 xes</I>&nbsp;(<IMG.WIDTH="78".HE
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186c00 69 6f 6e 20 6f 6e 20 74 68 65 20 73 69 64 65 72 65 61 6c 20 74 69 6d 65 2e 0a 49 74 73 20 76 61 ion.on.the.sidereal.time..Its.va
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186c40 73 2e 20 20 49 74 20 69 73 0a 69 6e 74 65 72 65 73 74 69 6e 67 20 74 6f 20 6e 6f 74 65 20 74 68 s...It.is.interesting.to.note.th
186c60 61 74 20 69 66 20 74 68 65 20 6f 62 6a 65 63 74 20 6f 66 20 74 68 65 20 65 78 65 72 63 69 73 65 at.if.the.object.of.the.exercise
186c80 20 69 73 20 74 6f 0a 74 72 61 6e 73 66 6f 72 6d 20 61 20 6d 65 61 6e 20 70 6c 61 63 65 20 61 6c .is.to.transform.a.mean.place.al
186ca0 6c 20 74 68 65 20 77 61 79 20 69 6e 74 6f 20 61 6e 20 6f 62 73 65 72 76 65 64 20 70 6c 61 63 65 l.the.way.into.an.observed.place
186cc0 20 28 76 65 72 79 0a 6f 66 74 65 6e 20 74 68 65 20 63 61 73 65 29 2c 0a 74 68 65 6e 20 74 68 65 .(very.often.the.case),.then.the
186ce0 20 65 71 75 61 74 69 6f 6e 20 6f 66 20 74 68 65 0a 65 71 75 69 6e 6f 78 65 73 20 61 6e 64 20 74 .equation.of.the.equinoxes.and.t
186d00 68 65 20 6c 6f 6e 67 69 74 75 64 65 20 63 6f 6d 70 6f 6e 65 6e 74 20 6f 66 20 6e 75 74 61 74 69 he.longitude.component.of.nutati
186d20 6f 6e 20 63 61 6e 20 62 6f 74 68 20 62 65 0a 6f 6d 69 74 74 65 64 2c 20 72 65 6d 6f 76 69 6e 67 on.can.both.be.omitted,.removing
186d40 20 61 20 67 72 65 61 74 20 64 65 61 6c 20 6f 66 20 63 6f 6d 70 75 74 61 74 69 6f 6e 2e 20 20 48 .a.great.deal.of.computation...H
186d60 6f 77 65 76 65 72 2c 20 53 4c 41 4c 49 42 0a 66 6f 6c 6c 6f 77 73 20 74 68 65 20 6e 6f 72 6d 61 owever,.SLALIB.follows.the.norma
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186da0 49 3e 20 74 68 65 20 61 70 70 61 72 65 6e 74 20 70 6c 61 63 65 2e 0a 3c 50 3e 0a 4e 6f 74 65 20 I>.the.apparent.place..<P>.Note.
186dc0 74 68 61 74 20 66 6f 72 20 76 65 72 79 20 70 72 65 63 69 73 65 20 77 6f 72 6b 20 74 68 65 20 6f that.for.very.precise.work.the.o
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186e00 72 72 65 63 74 65 64 20 66 6f 72 20 3c 49 3e 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 3c 2f 49 3e 2e rrected.for.<I>polar.motion</I>.
186e20 20 20 54 68 69 73 20 63 61 6e 20 62 65 20 64 6f 6e 65 20 77 69 74 68 0a 73 6c 61 5f 50 4f 4c 4d ..This.can.be.done.with.sla_POLM
186e40 4f 2e 0a 54 68 65 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 61 72 65 20 61 6c 77 61 79 73 20 6c 65 O..The.corrections.are.always.le
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186f00 20 61 6e 64 0a 61 72 65 20 66 75 74 69 6c 65 20 75 6e 6c 65 73 73 20 74 68 65 20 70 6f 73 69 74 .and.are.futile.unless.the.posit
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186f40 69 73 20 6b 6e 6f 77 6e 0a 74 6f 20 62 65 74 74 65 72 20 74 68 61 6e 20 61 20 66 65 77 20 6d 65 is.known.to.better.than.a.few.me
186f60 74 72 65 73 2e 0a 3c 50 3e 0a 54 61 62 6c 65 73 20 6f 66 20 6f 62 73 65 72 76 65 64 20 61 6e 64 tres..<P>.Tables.of.observed.and
186f80 0a 70 72 65 64 69 63 74 65 64 20 55 54 31 2d 55 54 43 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 61 .predicted.UT1-UTC.corrections.a
186fa0 6e 64 20 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 64 61 74 61 0a 61 72 65 20 70 75 62 6c 69 73 68 nd.polar.motion.data.are.publish
186fc0 65 64 20 65 76 65 72 79 20 66 65 77 20 77 65 65 6b 73 20 62 79 20 74 68 65 20 49 6e 74 65 72 6e ed.every.few.weeks.by.the.Intern
186fe0 61 74 69 6f 6e 61 6c 20 45 61 72 74 68 20 52 6f 74 61 74 69 6f 6e 20 53 65 72 76 69 63 65 2e 0a ational.Earth.Rotation.Service..
187000 3c 50 3e 0a 54 68 65 20 74 72 61 6e 73 66 6f 72 6d 61 74 69 6f 6e 20 66 72 6f 6d 20 61 70 70 61 <P>.The.transformation.from.appa
187020 72 65 6e 74 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 31 22 20 48 45 49 47 48 54 3d 22 32 39 22 rent.<IMG.WIDTH="41".HEIGHT="29"
187040 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="MIDDLE".BORDER="0"..SRC=
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1870a0 57 49 44 54 48 3d 22 34 31 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 WIDTH="41".HEIGHT="29".ALIGN="MI
1870c0 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 39 2e 67 69 66 DDLE".BORDER="0"..SRC="img29.gif
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187140 69 6d 75 6d 20 61 6d 70 6c 69 74 75 64 65 20 0a 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 imum.amplitude........<IMG.WIDTH
187160 3d 22 32 33 22 20 48 45 49 47 48 54 3d 22 31 38 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 ="23".HEIGHT="18".ALIGN="BOTTOM"
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1871a0 54 3d 22 24 30 5c 68 73 70 61 63 65 7b 2d 30 2e 30 35 65 6d 7d 5e 7b 27 5c 68 73 70 61 63 65 7b T="$0\hspace{-0.05em}^{'\hspace{
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1871e0 2c 0a 77 61 73 20 64 65 73 63 72 69 62 65 64 20 65 61 72 6c 69 65 72 2e 20 20 54 68 65 72 65 20 ,.was.described.earlier...There.
187200 69 73 20 6e 6f 20 73 70 65 63 69 66 69 63 20 53 4c 41 4c 49 42 20 72 6f 75 74 69 6e 65 0a 66 6f is.no.specific.SLALIB.routine.fo
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187240 6f 6e 2c 0a 74 68 6f 75 67 68 20 74 68 65 20 72 6f 75 74 69 6e 65 73 0a 73 6c 61 5f 41 4f 50 20 on,.though.the.routines.sla_AOP.
187260 3c 49 3e 65 74 63 2e 3c 2f 49 3e 20 69 6e 63 6c 75 64 65 20 69 74 2c 20 61 6e 64 20 74 68 65 20 <I>etc.</I>.include.it,.and.the.
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1872c0 3c 50 3e 0a 54 68 65 20 6e 65 78 74 20 73 74 61 67 65 20 69 73 20 74 68 65 20 6d 61 6a 6f 72 20 <P>.The.next.stage.is.the.major.
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187380 6f 6e 20 63 6f 6f 72 64 69 6e 61 74 65 73 2e 20 20 54 68 65 20 53 4c 41 4c 49 42 20 72 6f 75 74 on.coordinates...The.SLALIB.rout
1873a0 69 6e 65 73 0a 73 6c 61 5f 45 32 48 0a 3c 49 3e 65 74 63 2e 3c 2f 49 3e 20 63 61 6e 20 62 65 20 ines.sla_E2H.<I>etc.</I>.can.be.
1873c0 75 73 65 64 20 66 6f 72 20 74 68 69 73 2e 20 20 46 6f 72 20 68 69 67 68 2d 70 72 65 63 69 73 69 used.for.this...For.high-precisi
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187940 3c 2f 49 3e 0a 3c 2f 41 44 44 52 45 53 53 3e 0a 3c 2f 42 4f 44 59 3e 0a 3c 2f 48 54 4d 4c 3e 0a </I>.</ADDRESS>.</BODY>.</HTML>.
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187d60 3c 48 45 41 44 3e 0a 3c 54 49 54 4c 45 3e 52 65 66 72 61 63 74 69 6f 6e 3c 2f 54 49 54 4c 45 3e <HEAD>.<TITLE>Refraction</TITLE>
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188160 3e 20 4e 65 78 74 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 35 39 >.Next:</B>.<A.NAME="tex2html259
188180 34 22 20 48 52 45 46 3d 22 6e 6f 64 65 32 31 35 2e 68 74 6d 6c 22 3e 45 66 66 69 63 69 65 6e 63 4".HREF="node215.html">Efficienc
1881a0 79 20 63 6f 6e 73 69 64 65 72 61 74 69 6f 6e 73 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e 55 70 3a y.considerations</A>.<BR>.<B>Up:
1881c0 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 32 35 39 32 22 20 48 52 45 46 </B>.<A.NAME="tex2html2592".HREF
1881e0 3d 22 6e 6f 64 65 32 31 33 2e 68 74 6d 6c 22 3e 41 70 70 61 72 65 6e 74 20 50 6c 61 63 65 20 74 ="node213.html">Apparent.Place.t
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188240 36 22 20 48 52 45 46 3d 22 6e 6f 64 65 32 31 33 2e 68 74 6d 6c 22 3e 41 70 70 61 72 65 6e 74 20 6".HREF="node213.html">Apparent.
188260 50 6c 61 63 65 20 74 6f 20 4f 62 73 65 72 76 65 64 20 50 6c 61 63 65 3c 2f 41 3e 0a 3c 42 52 3e Place.to.Observed.Place</A>.<BR>
188280 20 3c 48 52 3e 20 3c 50 3e 0a 3c 50 3e 3c 21 2d 2d 45 6e 64 20 6f 66 20 4e 61 76 69 67 61 74 69 .<HR>.<P>.<P><!--End.of.Navigati
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188300 6e 20 69 73 20 66 6f 72 20 61 74 6d 6f 73 70 68 65 72 69 63 20 72 65 66 72 61 63 74 69 6f 6e 2e n.is.for.atmospheric.refraction.
188320 0a 54 68 69 73 20 65 66 66 65 63 74 2c 20 77 68 69 63 68 20 64 65 70 65 6e 64 73 20 6f 6e 20 6c .This.effect,.which.depends.on.l
188340 6f 63 61 6c 20 6d 65 74 65 6f 72 6f 6c 6f 67 69 63 61 6c 20 63 6f 6e 64 69 74 69 6f 6e 73 20 61 ocal.meteorological.conditions.a
188360 6e 64 0a 74 68 65 20 65 66 66 65 63 74 69 76 65 20 63 6f 6c 6f 75 72 20 6f 66 20 74 68 65 20 73 nd.the.effective.colour.of.the.s
188380 6f 75 72 63 65 2f 64 65 74 65 63 74 6f 72 20 63 6f 6d 62 69 6e 61 74 69 6f 6e 2c 0a 69 6e 63 72 ource/detector.combination,.incr
1883a0 65 61 73 65 73 20 74 68 65 20 6f 62 73 65 72 76 65 64 20 65 6c 65 76 61 74 69 6f 6e 20 6f 66 20 eases.the.observed.elevation.of.
1883c0 74 68 65 20 73 6f 75 72 63 65 20 62 79 20 61 0a 73 69 67 6e 69 66 69 63 61 6e 74 20 65 66 66 65 the.source.by.a.significant.effe
1883e0 63 74 20 65 76 65 6e 20 61 74 20 6d 6f 64 65 72 61 74 65 20 7a 65 6e 69 74 68 20 64 69 73 74 61 ct.even.at.moderate.zenith.dista
188400 6e 63 65 73 2c 20 61 6e 64 20 6e 65 61 72 20 74 68 65 0a 68 6f 72 69 7a 6f 6e 20 62 79 20 6f 76 nces,.and.near.the.horizon.by.ov
188420 65 72 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 35 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 er.<IMG.WIDTH="25".HEIGHT="14".A
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188480 70 61 63 65 7b 2d 30 2e 33 37 65 6d 7d 2e 5c 68 73 70 61 63 65 7b 30 2e 30 32 65 6d 7d 35 24 22 pace{-0.37em}.\hspace{0.02em}5$"
1884a0 3e 2e 20 20 54 68 65 20 61 6d 6f 75 6e 74 20 6f 66 20 72 65 66 72 61 63 74 69 6f 6e 20 63 61 6e >...The.amount.of.refraction.can
1884c0 20 62 79 0a 63 6f 6d 70 75 74 65 64 20 62 79 20 63 61 6c 6c 69 6e 67 20 74 68 65 20 53 4c 41 4c .by.computed.by.calling.the.SLAL
1884e0 49 42 20 72 6f 75 74 69 6e 65 0a 73 6c 61 5f 52 45 46 52 4f 3b 0a 68 6f 77 65 76 65 72 2c 0a 74 IB.routine.sla_REFRO;.however,.t
188500 68 69 73 20 72 65 71 75 69 72 65 73 20 61 73 20 69 6e 70 75 74 20 74 68 65 20 6f 62 73 65 72 76 his.requires.as.input.the.observ
188520 65 64 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 2c 20 77 68 69 63 68 20 69 73 20 77 68 61 ed.zenith.distance,.which.is.wha
188540 74 0a 77 65 20 61 72 65 20 74 72 79 69 6e 67 20 74 6f 20 70 72 65 64 69 63 74 2e 20 20 46 6f 72 t.we.are.trying.to.predict...For
188560 20 68 69 67 68 20 70 72 65 63 69 73 69 6f 6e 20 69 74 20 69 73 0a 74 68 65 72 65 66 6f 72 65 20 .high.precision.it.is.therefore.
188580 6e 65 63 65 73 73 61 72 79 20 74 6f 20 69 74 65 72 61 74 65 2c 20 75 73 69 6e 67 20 74 68 65 20 necessary.to.iterate,.using.the.
1885a0 74 6f 70 6f 63 65 6e 74 72 69 63 0a 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 61 73 20 74 topocentric.zenith.distance.as.t
1885c0 68 65 20 69 6e 69 74 69 61 6c 20 65 73 74 69 6d 61 74 65 20 6f 66 20 74 68 65 0a 6f 62 73 65 72 he.initial.estimate.of.the.obser
1885e0 76 65 64 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 2e 0a 3c 50 3e 0a 54 68 65 20 66 75 6c ved.zenith.distance..<P>.The.ful
188600 6c 0a 73 6c 61 5f 52 45 46 52 4f 20 72 65 66 72 61 63 74 69 6f 6e 20 63 61 6c 63 75 6c 61 74 69 l.sla_REFRO.refraction.calculati
188620 6f 6e 20 69 73 20 6f 6e 65 72 6f 75 73 2c 20 61 6e 64 20 66 6f 72 0a 7a 65 6e 69 74 68 20 64 69 on.is.onerous,.and.for.zenith.di
188640 73 74 61 6e 63 65 73 20 6f 66 20 6c 65 73 73 20 74 68 61 6e 2c 20 73 61 79 2c 20 3c 49 4d 47 20 stances.of.less.than,.say,.<IMG.
188660 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f WIDTH="26".HEIGHT="14".ALIGN="BO
188680 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 36 34 2e 67 69 TTOM".BORDER="0"..SRC="img164.gi
1886a0 66 22 0a 20 41 4c 54 3d 22 24 37 35 5e 5c 63 69 72 63 24 22 3e 20 74 68 65 20 66 6f 6c 6c 6f 77 f"..ALT="$75^\circ$">.the.follow
1886c0 69 6e 67 0a 6d 6f 64 65 6c 20 63 61 6e 20 62 65 20 75 73 65 64 20 69 6e 73 74 65 61 64 3a 0a 3c ing.model.can.be.used.instead:.<
1886e0 50 3e 0a 3c 50 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 3e 3c 49 4d 47 20 57 49 44 54 48 3d P>.<P.ALIGN="CENTER"><IMG.WIDTH=
188700 22 32 35 35 22 20 48 45 49 47 48 54 3d 22 32 37 22 0a 20 53 52 43 3d 22 69 6d 67 33 30 32 2e 67 "255".HEIGHT="27"..SRC="img302.g
188720 69 66 22 0a 20 41 4c 54 3d 22 5c 62 65 67 69 6e 7b 64 69 73 70 6c 61 79 6d 61 74 68 7d 0a 5c 7a if"..ALT="\begin{displaymath}.\z
188740 65 74 61 20 5f 7b 76 61 63 7d 20 5c 61 70 70 72 6f 78 20 5c 7a 65 74 61 20 5f 7b 6f 62 73 7d 0a eta._{vac}.\approx.\zeta._{obs}.
188760 20 2b 20 41 20 5c 74 61 6e 20 5c 7a 65 74 61 20 5f 7b 6f 62 73 7d 0a 20 2b 20 42 20 5c 74 61 6e .+.A.\tan.\zeta._{obs}..+.B.\tan
188780 20 5e 7b 33 7d 5c 7a 65 74 61 20 5f 7b 6f 62 73 7d 20 5c 65 6e 64 7b 64 69 73 70 6c 61 79 6d 61 .^{3}\zeta._{obs}.\end{displayma
1887a0 74 68 7d 22 3e 3c 2f 50 3e 0a 77 68 65 72 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 39 22 20 th}"></P>.where.<IMG.WIDTH="29".
1887c0 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 HEIGHT="27".ALIGN="MIDDLE".BORDE
1887e0 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 30 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c R="0"..SRC="img303.gif"..ALT="$\
188800 7a 65 74 61 20 5f 7b 76 61 63 7d 24 22 3e 20 69 73 20 74 68 65 20 74 6f 70 6f 63 65 6e 74 72 69 zeta._{vac}$">.is.the.topocentri
188820 63 0a 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 28 69 2e 65 2e 20 3c 49 3e 69 6e 20 76 61 c.zenith.distance.(i.e..<I>in.va
188840 63 75 6f 3c 2f 49 3e 29 2c 0a 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 38 22 20 48 45 49 47 48 54 cuo</I>),.<IMG.WIDTH="28".HEIGHT
188860 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="27".ALIGN="MIDDLE".BORDER="0".
188880 20 53 52 43 3d 22 69 6d 67 31 38 34 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 7a 65 74 61 5f 7b .SRC="img184.gif"..ALT="$\zeta_{
1888a0 6f 62 73 7d 24 22 3e 20 69 73 20 74 68 65 20 6f 62 73 65 72 76 65 64 0a 7a 65 6e 69 74 68 20 64 obs}$">.is.the.observed.zenith.d
1888c0 69 73 74 61 6e 63 65 20 28 69 2e 65 2e 20 61 66 66 65 63 74 65 64 20 62 79 20 72 65 66 72 61 63 istance.(i.e..affected.by.refrac
1888e0 74 69 6f 6e 29 2c 20 61 6e 64 20 3c 49 3e 41 3c 2f 49 3e 20 61 6e 64 20 3c 49 3e 42 3c 2f 49 3e tion),.and.<I>A</I>.and.<I>B</I>
188900 20 61 72 65 0a 63 6f 6e 73 74 61 6e 74 73 2c 20 61 62 6f 75 74 20 3c 49 4d 47 20 57 49 44 54 48 .are.constants,.about.<IMG.WIDTH
188920 3d 22 32 35 22 20 48 45 49 47 48 54 3d 22 31 38 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 ="25".HEIGHT="18".ALIGN="BOTTOM"
188940 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 30 34 2e 67 69 66 22 0a 20 41 .BORDER="0"..SRC="img304.gif"..A
188960 4c 54 3d 22 24 36 30 5c 68 73 70 61 63 65 7b 2d 30 2e 30 35 65 6d 7d 5e 7b 27 5c 68 73 70 61 63 LT="$60\hspace{-0.05em}^{'\hspac
188980 65 7b 2d 30 2e 31 65 6d 7d 27 7d 24 22 3e 61 6e 64 20 0a 20 20 20 20 20 20 3c 49 4d 47 20 57 49 e{-0.1em}'}$">and........<IMG.WI
1889a0 44 54 48 3d 22 34 34 22 20 48 45 49 47 48 54 3d 22 33 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 DTH="44".HEIGHT="35".ALIGN="MIDD
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189a40 20 50 6f 73 69 74 69 6f 6e 61 6c 20 41 73 74 72 6f 6e 6f 6d 79 20 4c 69 62 72 61 72 79 3c 42 52 .Positional.Astronomy.Library<BR
189a60 3e 53 74 61 72 6c 69 6e 6b 20 55 73 65 72 20 4e 6f 74 65 20 36 37 3c 42 52 3e 50 2e 20 54 2e 20 >Starlink.User.Note.67<BR>P..T..
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18b660 48 52 45 46 3d 22 6e 6f 64 65 32 31 35 2e 68 74 6d 6c 22 3e 45 66 66 69 63 69 65 6e 63 79 20 63 HREF="node215.html">Efficiency.c
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18bb20 20 72 61 64 69 6f 20 73 6f 75 72 63 65 73 20 6f 62 73 65 72 76 65 64 20 62 79 20 56 4c 42 49 2e .radio.sources.observed.by.VLBI.
18bb40 0a 3c 50 3e 0a 54 68 65 20 62 65 73 74 20 6f 70 74 69 63 61 6c 20 72 65 61 6c 69 7a 61 74 69 6f .<P>.The.best.optical.realizatio
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18bd00 6d 61 73 2f 79 65 61 72 20 28 61 74 20 65 70 6f 63 68 20 31 39 39 31 2e 32 35 29 2e 0a 3c 50 3e mas/year.(at.epoch.1991.25)..<P>
18bd20 0a 54 68 65 20 48 69 70 70 61 72 63 6f 73 20 63 61 74 61 6c 6f 67 75 65 20 69 6e 63 6c 75 64 65 .The.Hipparcos.catalogue.include
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18bda0 20 41 74 20 65 70 6f 63 68 20 4a 32 30 30 30 2c 0a 74 68 65 20 6d 69 73 61 6c 69 67 6e 6d 65 6e .At.epoch.J2000,.the.misalignmen
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199c20 6e 67 20 74 68 65 20 72 65 73 75 6c 74 69 6e 67 20 36 2d 76 65 63 74 6f 72 20 66 72 6f 6d 20 74 ng.the.resulting.6-vector.from.t
199c40 68 65 0a 6f 6e 65 20 70 72 6f 64 75 63 65 64 20 62 79 0a 73 6c 61 5f 44 4d 4f 4f 4e 2c 20 61 73 he.one.produced.by.sla_DMOON,.as
199c60 20 69 73 20 64 65 6d 6f 6e 73 74 72 61 74 65 64 20 62 79 20 74 68 65 20 66 6f 6c 6c 6f 77 69 6e .is.demonstrated.by.the.followin
199c80 67 20 65 78 61 6d 70 6c 65 3a 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 20 20 20 2a 20 20 44 65 6d g.example:.<P><PRE>.......*..Dem
199ca0 6f 6e 73 74 72 61 74 65 20 74 68 65 20 73 69 7a 65 20 6f 66 20 74 68 65 20 67 65 6f 63 65 6e 74 onstrate.the.size.of.the.geocent
199cc0 72 69 63 20 70 61 72 61 6c 6c 61 78 20 63 6f 72 72 65 63 74 69 6f 6e 0a 20 20 20 20 20 20 2a 20 ric.parallax.correction.......*.
199ce0 20 69 6e 20 74 68 65 20 63 61 73 65 20 6f 66 20 74 68 65 20 4d 6f 6f 6e 2e 20 20 54 68 65 20 74 .in.the.case.of.the.Moon...The.t
199d00 65 73 74 20 65 78 61 6d 70 6c 65 20 69 73 20 66 6f 72 20 74 68 65 20 41 41 54 2c 0a 20 20 20 20 est.example.is.for.the.AAT,.....
199d20 20 20 2a 20 20 62 65 66 6f 72 65 20 6d 69 64 6e 69 67 68 74 2c 20 69 6e 20 73 75 6d 6d 65 72 2c ..*..before.midnight,.in.summer,
199d40 20 6e 65 61 72 20 66 69 72 73 74 20 71 75 61 72 74 65 72 2e 0a 0a 20 20 20 20 20 20 20 20 20 20 .near.first.quarter.............
199d60 20 20 49 4d 50 4c 49 43 49 54 20 4e 4f 4e 45 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 48 41 52 ..IMPLICIT.NONE.............CHAR
199d80 41 43 54 45 52 20 4e 41 4d 45 2a 34 30 2c 53 48 2c 53 44 0a 20 20 20 20 20 20 20 20 20 20 20 20 ACTER.NAME*40,SH,SD.............
199da0 49 4e 54 45 47 45 52 20 4a 2c 49 2c 49 48 4d 53 46 28 34 29 2c 49 44 4d 53 46 28 34 29 0a 20 20 INTEGER.J,I,IHMSF(4),IDMSF(4)...
199dc0 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 53 4c 4f 4e 47 ..........DOUBLE.PRECISION.SLONG
199de0 57 2c 53 4c 41 54 2c 48 2c 44 4a 55 54 43 2c 46 44 55 54 43 2c 44 4a 55 54 31 2c 44 4a 54 54 2c W,SLAT,H,DJUTC,FDUTC,DJUT1,DJTT,
199e00 53 54 4c 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 STL,............:...............
199e20 20 20 52 4d 41 54 4e 28 33 2c 33 29 2c 50 4d 4d 28 36 29 2c 50 4d 54 28 36 29 2c 52 4d 2c 44 4d ..RMATN(3,3),PMM(6),PMT(6),RM,DM
199e40 2c 50 56 4f 28 36 29 2c 54 4c 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 ,PVO(6),TL.............DOUBLE.PR
199e60 45 43 49 53 49 4f 4e 20 73 6c 61 5f 44 54 54 2c 73 6c 61 5f 47 4d 53 54 2c 73 6c 61 5f 45 51 45 ECISION.sla_DTT,sla_GMST,sla_EQE
199e80 51 58 2c 73 6c 61 5f 44 52 41 4e 52 4d 0a 0a 20 20 20 20 20 20 2a 20 20 47 65 74 20 41 41 54 20 QX,sla_DRANRM........*..Get.AAT.
199ea0 6c 6f 6e 67 69 74 75 64 65 20 61 6e 64 20 6c 61 74 69 74 75 64 65 20 69 6e 20 72 61 64 69 61 6e longitude.and.latitude.in.radian
199ec0 73 20 61 6e 64 20 68 65 69 67 68 74 20 69 6e 20 6d 65 74 72 65 73 0a 20 20 20 20 20 20 20 20 20 s.and.height.in.metres..........
199ee0 20 20 20 43 41 4c 4c 20 73 6c 61 5f 4f 42 53 28 30 2c 27 41 41 54 27 2c 4e 41 4d 45 2c 53 4c 4f ...CALL.sla_OBS(0,'AAT',NAME,SLO
199f00 4e 47 57 2c 53 4c 41 54 2c 48 29 0a 0a 20 20 20 20 20 20 2a 20 20 55 54 43 20 28 31 39 39 32 20 NGW,SLAT,H)........*..UTC.(1992.
199f20 4a 61 6e 75 61 72 79 20 31 33 2c 20 31 31 20 31 33 20 35 39 29 20 74 6f 20 4d 4a 44 0a 20 20 20 January.13,.11.13.59).to.MJD....
199f40 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 43 4c 44 4a 28 31 39 39 32 2c 31 2c 31 33 .........CALL.sla_CLDJ(1992,1,13
199f60 2c 44 4a 55 54 43 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 ,DJUTC,J).............CALL.sla_D
199f80 54 46 32 44 28 31 31 2c 31 33 2c 35 39 2e 30 44 30 2c 46 44 55 54 43 2c 4a 29 0a 20 20 20 20 20 TF2D(11,13,59.0D0,FDUTC,J)......
199fa0 20 20 20 20 20 20 20 44 4a 55 54 43 3d 44 4a 55 54 43 2b 46 44 55 54 43 0a 0a 20 20 20 20 20 20 .......DJUTC=DJUTC+FDUTC........
199fc0 2a 20 20 55 54 31 20 28 55 54 31 2d 55 54 43 20 76 61 6c 75 65 20 6f 66 20 2d 30 2e 31 35 32 20 *..UT1.(UT1-UTC.value.of.-0.152.
199fe0 73 65 63 20 69 73 20 66 72 6f 6d 20 49 45 52 53 20 42 75 6c 6c 65 74 69 6e 20 42 29 0a 20 20 20 sec.is.from.IERS.Bulletin.B)....
19a000 20 20 20 20 20 20 20 20 20 44 4a 55 54 31 3d 44 4a 55 54 43 2b 28 2d 30 2e 31 35 32 44 30 29 2f .........DJUT1=DJUTC+(-0.152D0)/
19a020 38 36 34 30 30 44 30 0a 0a 20 20 20 20 20 20 2a 20 20 54 54 0a 20 20 20 20 20 20 20 20 20 20 20 86400D0........*..TT............
19a040 20 44 4a 54 54 3d 44 4a 55 54 43 2b 73 6c 61 5f 44 54 54 28 44 4a 55 54 43 29 2f 38 36 34 30 30 .DJTT=DJUTC+sla_DTT(DJUTC)/86400
19a060 44 30 0a 0a 20 20 20 20 20 20 2a 20 20 4c 6f 63 61 6c 20 61 70 70 61 72 65 6e 74 20 73 69 64 65 D0........*..Local.apparent.side
19a080 72 65 61 6c 20 74 69 6d 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 53 54 4c 3d 73 6c 61 5f 47 4d real.time.............STL=sla_GM
19a0a0 53 54 28 44 4a 55 54 31 29 2d 53 4c 4f 4e 47 57 2b 73 6c 61 5f 45 51 45 51 58 28 44 4a 54 54 29 ST(DJUT1)-SLONGW+sla_EQEQX(DJTT)
19a0c0 0a 0a 20 20 20 20 20 20 2a 20 20 47 65 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 69 6f 6e 2f 76 ........*..Geocentric.position/v
19a0e0 65 6c 6f 63 69 74 79 20 6f 66 20 4d 6f 6f 6e 20 28 6d 65 61 6e 20 6f 66 20 64 61 74 65 29 0a 20 elocity.of.Moon.(mean.of.date)..
19a100 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 4d 4f 4f 4e 28 44 4a 54 54 2c 50 ...........CALL.sla_DMOON(DJTT,P
19a120 4d 4d 29 0a 0a 20 20 20 20 20 20 2a 20 20 4e 75 74 61 74 69 6f 6e 20 74 6f 20 74 72 75 65 20 65 MM)........*..Nutation.to.true.e
19a140 71 75 69 6e 6f 78 20 6f 66 20 64 61 74 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 quinox.of.date.............CALL.
19a160 73 6c 61 5f 4e 55 54 28 44 4a 54 54 2c 52 4d 41 54 4e 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 sla_NUT(DJTT,RMATN).............
19a180 43 41 4c 4c 20 73 6c 61 5f 44 4d 58 56 28 52 4d 41 54 4e 2c 50 4d 4d 2c 50 4d 54 29 0a 20 20 20 CALL.sla_DMXV(RMATN,PMM,PMT)....
19a1a0 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 4d 58 56 28 52 4d 41 54 4e 2c 50 4d 4d .........CALL.sla_DMXV(RMATN,PMM
19a1c0 28 34 29 2c 50 4d 54 28 34 29 29 0a 0a 20 20 20 20 20 20 2a 20 20 52 65 70 6f 72 74 20 67 65 6f (4),PMT(4))........*..Report.geo
19a1e0 63 65 6e 74 72 69 63 20 48 41 2c 44 65 63 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 centric.HA,Dec.............CALL.
19a200 73 6c 61 5f 44 43 43 32 53 28 50 4d 54 2c 52 4d 2c 44 4d 29 0a 20 20 20 20 20 20 20 20 20 20 20 sla_DCC2S(PMT,RM,DM)............
19a220 20 43 41 4c 4c 20 73 6c 61 5f 44 52 32 54 46 28 32 2c 73 6c 61 5f 44 52 41 4e 52 4d 28 53 54 4c .CALL.sla_DR2TF(2,sla_DRANRM(STL
19a240 2d 52 4d 29 2c 53 48 2c 49 48 4d 53 46 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 -RM),SH,IHMSF).............CALL.
19a260 73 6c 61 5f 44 52 32 41 46 28 31 2c 44 4d 2c 53 44 2c 49 44 4d 53 46 29 0a 20 20 20 20 20 20 20 sla_DR2AF(1,DM,SD,IDMSF)........
19a280 20 20 20 20 20 57 52 49 54 45 20 28 2a 2c 27 28 31 58 2c 27 27 20 67 65 6f 63 65 6e 74 72 69 63 .....WRITE.(*,'(1X,''.geocentric
19a2a0 3a 27 27 2c 32 58 2c 41 2c 49 32 2e 32 2c 32 49 33 2e 32 2c 27 27 2e 27 27 2c 49 32 2e 32 2c 27 :'',2X,A,I2.2,2I3.2,''.'',I2.2,'
19a2c0 2f 2f 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 //............:.................
19a2e0 20 20 20 20 20 20 20 20 20 20 20 20 20 27 31 58 2c 41 2c 49 32 2e 32 2c 32 49 33 2e 32 2c 27 27 .............'1X,A,I2.2,2I3.2,''
19a300 2e 27 27 2c 49 31 29 27 29 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 .'',I1)')............:..........
19a320 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ................................
19a340 20 20 20 20 20 20 53 48 2c 49 48 4d 53 46 2c 53 44 2c 49 44 4d 53 46 0a 0a 20 20 20 20 20 20 2a ......SH,IHMSF,SD,IDMSF........*
19a360 20 20 47 65 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 69 6f 6e 20 6f 66 20 6f 62 73 65 72 76 65 ..Geocentric.position.of.observe
19a380 72 20 28 74 72 75 65 20 65 71 75 61 74 6f 72 20 61 6e 64 20 65 71 75 69 6e 6f 78 20 6f 66 20 64 r.(true.equator.and.equinox.of.d
19a3a0 61 74 65 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 50 56 4f 42 53 28 ate).............CALL.sla_PVOBS(
19a3c0 53 4c 41 54 2c 48 2c 53 54 4c 2c 50 56 4f 29 0a 0a 20 20 20 20 20 20 2a 20 20 50 6c 61 63 65 20 SLAT,H,STL,PVO)........*..Place.
19a3e0 6f 72 69 67 69 6e 20 61 74 20 6f 62 73 65 72 76 65 72 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 origin.at.observer.............D
19a400 4f 20 49 3d 31 2c 36 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 4d 54 28 49 29 3d 50 4d O.I=1,6................PMT(I)=PM
19a420 54 28 49 29 2d 50 56 4f 28 49 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 0a T(I)-PVO(I).............END.DO..
19a440 20 20 20 20 20 20 2a 20 20 41 6c 6c 6f 77 20 66 6f 72 20 70 6c 61 6e 65 74 61 72 79 20 61 62 65 ......*..Allow.for.planetary.abe
19a460 72 72 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 20 20 20 20 54 4c 3d 34 39 39 2e 30 30 34 37 38 rration.............TL=499.00478
19a480 32 44 30 2a 53 51 52 54 28 50 4d 54 28 31 29 2a 2a 32 2b 50 4d 54 28 32 29 2a 2a 32 2b 50 4d 54 2D0*SQRT(PMT(1)**2+PMT(2)**2+PMT
19a4a0 28 33 29 2a 2a 32 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 20 49 3d 31 2c 33 0a 20 20 20 (3)**2).............DO.I=1,3....
19a4c0 20 20 20 20 20 20 20 20 20 20 20 20 50 4d 54 28 49 29 3d 50 4d 54 28 49 29 2d 54 4c 2a 50 4d 54 ............PMT(I)=PMT(I)-TL*PMT
19a4e0 28 49 2b 33 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 0a 20 20 20 20 20 20 (I+3).............END.DO........
19a500 2a 20 20 52 65 70 6f 72 74 20 74 6f 70 6f 63 65 6e 74 72 69 63 20 48 41 2c 44 65 63 0a 20 20 20 *..Report.topocentric.HA,Dec....
19a520 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 43 43 32 53 28 50 4d 54 2c 52 4d 2c 44 .........CALL.sla_DCC2S(PMT,RM,D
19a540 4d 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 52 32 54 46 28 32 2c M).............CALL.sla_DR2TF(2,
19a560 73 6c 61 5f 44 52 41 4e 52 4d 28 53 54 4c 2d 52 4d 29 2c 53 48 2c 49 48 4d 53 46 29 0a 20 20 20 sla_DRANRM(STL-RM),SH,IHMSF)....
19a580 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 52 32 41 46 28 31 2c 44 4d 2c 53 44 2c .........CALL.sla_DR2AF(1,DM,SD,
19a5a0 49 44 4d 53 46 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 57 52 49 54 45 20 28 2a 2c 27 28 31 58 IDMSF).............WRITE.(*,'(1X
19a5c0 2c 27 27 74 6f 70 6f 63 65 6e 74 72 69 63 3a 27 27 2c 32 58 2c 41 2c 49 32 2e 32 2c 32 49 33 2e ,''topocentric:'',2X,A,I2.2,2I3.
19a5e0 32 2c 27 27 2e 27 27 2c 49 32 2e 32 2c 27 2f 2f 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 2,''.'',I2.2,'//............:...
19a600 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 27 31 58 2c 41 ...........................'1X,A
19a620 2c 49 32 2e 32 2c 32 49 33 2e 32 2c 27 27 2e 27 27 2c 49 31 29 27 29 0a 20 20 20 20 20 20 20 20 ,I2.2,2I3.2,''.'',I1)').........
19a640 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ...:............................
19a660 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 53 48 2c 49 48 4d 53 46 2c 53 44 2c ....................SH,IHMSF,SD,
19a680 49 44 4d 53 46 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 0a 3c 2f 50 52 45 3e 0a 3c 50 3e IDMSF.............END.</PRE>.<P>
19a6a0 0a 54 68 65 20 6f 75 74 70 75 74 20 70 72 6f 64 75 63 65 64 20 69 73 20 61 73 20 66 6f 6c 6c 6f .The.output.produced.is.as.follo
19a6c0 77 73 3a 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 20 20 20 20 67 65 6f 63 65 6e 74 72 69 63 3a 20 ws:.<P><PRE>........geocentric:.
19a6e0 20 2b 30 33 20 30 36 20 35 35 2e 35 39 20 2b 31 35 20 30 33 20 33 39 2e 30 0a 20 20 20 20 20 20 .+03.06.55.59.+15.03.39.0.......
19a700 74 6f 70 6f 63 65 6e 74 72 69 63 3a 20 20 2b 30 33 20 30 39 20 32 33 2e 37 39 20 2b 31 35 20 34 topocentric:..+03.09.23.79.+15.4
19a720 30 20 35 31 2e 35 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 28 41 6e 20 65 61 73 69 65 72 20 62 75 74 0a 0.51.5.</PRE>.<P>(An.easier.but.
19a740 6c 65 73 73 20 69 6e 73 74 72 75 63 74 69 76 65 20 6d 65 74 68 6f 64 20 6f 66 20 65 73 74 69 6d less.instructive.method.of.estim
19a760 61 74 69 6e 67 20 74 68 65 20 74 6f 70 6f 63 65 6e 74 72 69 63 20 61 70 70 61 72 65 6e 74 20 70 ating.the.topocentric.apparent.p
19a780 6c 61 63 65 20 6f 66 20 74 68 65 0a 4d 6f 6f 6e 20 69 73 20 74 6f 20 63 61 6c 6c 20 74 68 65 20 lace.of.the.Moon.is.to.call.the.
19a7a0 72 6f 75 74 69 6e 65 0a 73 6c 61 5f 52 44 50 4c 41 4e 2e 29 0a 3c 50 3e 0a 41 73 20 61 6e 20 65 routine.sla_RDPLAN.).<P>.As.an.e
19a7c0 78 61 6d 70 6c 65 20 6f 66 20 75 73 69 6e 67 0a 73 6c 61 5f 50 4c 41 4e 45 54 2c 0a 74 68 65 20 xample.of.using.sla_PLANET,.the.
19a7e0 66 6f 6c 6c 6f 77 69 6e 67 20 70 72 6f 67 72 61 6d 20 65 73 74 69 6d 61 74 65 73 20 74 68 65 20 following.program.estimates.the.
19a800 67 65 6f 63 65 6e 74 72 69 63 20 73 65 70 61 72 61 74 69 6f 6e 0a 62 65 74 77 65 65 6e 20 56 65 geocentric.separation.between.Ve
19a820 6e 75 73 20 61 6e 64 20 4a 75 70 69 74 65 72 20 64 75 72 69 6e 67 20 61 20 63 6c 6f 73 65 20 63 nus.and.Jupiter.during.a.close.c
19a840 6f 6e 6a 75 6e 63 74 69 6f 6e 0a 69 6e 20 32 42 43 2c 20 77 68 69 63 68 20 69 73 20 61 20 73 74 onjunction.in.2BC,.which.is.a.st
19a860 61 72 2d 6f 66 2d 42 65 74 68 6c 65 68 65 6d 20 63 61 6e 64 69 64 61 74 65 3a 0a 3c 50 3e 3c 50 ar-of-Bethlehem.candidate:.<P><P
19a880 52 45 3e 0a 20 20 20 20 20 20 2a 20 20 43 6f 6d 70 75 74 65 20 74 69 6d 65 20 61 6e 64 20 6d 69 RE>.......*..Compute.time.and.mi
19a8a0 6e 69 6d 75 6d 20 67 65 6f 63 65 6e 74 72 69 63 20 61 70 70 61 72 65 6e 74 20 73 65 70 61 72 61 nimum.geocentric.apparent.separa
19a8c0 74 69 6f 6e 0a 20 20 20 20 20 20 2a 20 20 62 65 74 77 65 65 6e 20 56 65 6e 75 73 20 61 6e 64 20 tion.......*..between.Venus.and.
19a8e0 4a 75 70 69 74 65 72 20 64 75 72 69 6e 67 20 74 68 65 20 63 6c 6f 73 65 20 63 6f 6e 6a 75 6e 63 Jupiter.during.the.close.conjunc
19a900 74 69 6f 6e 20 6f 66 20 32 20 42 43 2e 0a 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 4d 50 4c 49 tion.of.2.BC...............IMPLI
19a920 43 49 54 20 4e 4f 4e 45 0a 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 CIT.NONE..............DOUBLE.PRE
19a940 43 49 53 49 4f 4e 20 53 45 50 4d 49 4e 2c 44 4a 44 30 2c 46 44 2c 44 4a 44 2c 44 4a 44 4d 2c 44 CISION.SEPMIN,DJD0,FD,DJD,DJDM,D
19a960 46 2c 50 56 28 36 29 2c 52 4d 41 54 50 28 33 2c 33 29 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a F,PV(6),RMATP(3,3),............:
19a980 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 56 4d 28 36 29 2c 50 56 45 28 36 29 2c 54 .................PVM(6),PVE(6),T
19a9a0 4c 2c 52 56 2c 44 56 2c 52 4a 2c 44 4a 2c 53 45 50 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 4e L,RV,DV,RJ,DJ,SEP.............IN
19a9c0 54 45 47 45 52 20 49 48 4f 55 52 2c 49 4d 49 4e 2c 4a 2c 49 2c 49 48 4d 49 4e 2c 49 4d 4d 49 4e TEGER.IHOUR,IMIN,J,I,IHMIN,IMMIN
19a9e0 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 73 6c .............DOUBLE.PRECISION.sl
19aa00 61 5f 45 50 4a 2c 73 6c 61 5f 44 53 45 50 0a 0a 0a 20 20 20 20 20 20 2a 20 20 53 65 61 72 63 68 a_EPJ,sla_DSEP.........*..Search
19aa20 20 66 6f 72 20 63 6c 6f 73 65 73 74 20 61 70 70 72 6f 61 63 68 20 6f 6e 20 74 68 65 20 67 69 76 .for.closest.approach.on.the.giv
19aa40 65 6e 20 64 61 79 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4a 44 30 3d 31 37 32 30 38 35 39 2e en.day.............DJD0=1720859.
19aa60 35 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 53 45 50 4d 49 4e 3d 31 44 31 30 0a 20 20 20 20 5D0.............SEPMIN=1D10.....
19aa80 20 20 20 20 20 20 20 20 44 4f 20 49 48 4f 55 52 3d 32 30 2c 32 32 0a 20 20 20 20 20 20 20 20 20 ........DO.IHOUR=20,22..........
19aaa0 20 20 20 20 20 20 44 4f 20 49 4d 49 4e 3d 30 2c 35 39 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 ......DO.IMIN=0,59..............
19aac0 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 54 46 32 44 28 49 48 4f 55 52 2c 49 4d 49 4e 2c 30 .....CALL.sla_DTF2D(IHOUR,IMIN,0
19aae0 44 30 2c 46 44 2c 4a 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 4a 75 6c 69 61 6e 20 D0,FD,J)........*........Julian.
19ab00 64 61 74 65 20 61 6e 64 20 4d 4a 44 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 date.and.MJD...................D
19ab20 4a 44 3d 44 4a 44 30 2b 46 44 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 4a 44 JD=DJD0+FD...................DJD
19ab40 4d 3d 44 4a 44 2d 32 34 30 30 30 30 30 2e 35 44 30 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 M=DJD-2400000.5D0........*......
19ab60 20 20 45 61 72 74 68 20 74 6f 20 4d 6f 6f 6e 20 28 6d 65 61 6e 20 6f 66 20 64 61 74 65 29 0a 20 ..Earth.to.Moon.(mean.of.date)..
19ab80 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 4d 4f 4f 4e 28 .................CALL.sla_DMOON(
19aba0 44 4a 44 4d 2c 50 56 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 50 72 65 63 65 73 73 DJDM,PV)........*........Precess
19abc0 20 4d 6f 6f 6e 20 70 6f 73 69 74 69 6f 6e 20 74 6f 20 4a 32 30 30 30 0a 20 20 20 20 20 20 20 20 .Moon.position.to.J2000.........
19abe0 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 50 52 45 43 4c 28 73 6c 61 5f 45 50 4a ..........CALL.sla_PRECL(sla_EPJ
19ac00 28 44 4a 44 4d 29 2c 32 30 30 30 44 30 2c 52 4d 41 54 50 29 0a 20 20 20 20 20 20 20 20 20 20 20 (DJDM),2000D0,RMATP)............
19ac20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 4d 58 56 28 52 4d 41 54 50 2c 50 56 2c 50 56 .......CALL.sla_DMXV(RMATP,PV,PV
19ac40 4d 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 53 75 6e 20 74 6f 20 45 61 72 74 68 2d M)........*........Sun.to.Earth-
19ac60 4d 6f 6f 6e 20 42 61 72 79 63 65 6e 74 72 65 20 28 6d 65 61 6e 20 4a 32 30 30 30 29 0a 20 20 20 Moon.Barycentre.(mean.J2000)....
19ac80 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 50 4c 41 4e 45 54 28 44 ...............CALL.sla_PLANET(D
19aca0 4a 44 4d 2c 33 2c 50 56 45 2c 4a 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 43 6f 72 JDM,3,PVE,J)........*........Cor
19acc0 72 65 63 74 20 66 72 6f 6d 20 45 4d 42 20 74 6f 20 45 61 72 74 68 0a 20 20 20 20 20 20 20 20 20 rect.from.EMB.to.Earth..........
19ace0 20 20 20 20 20 20 20 20 20 44 4f 20 49 3d 31 2c 33 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .........DO.I=1,3...............
19ad00 20 20 20 20 20 20 20 50 56 28 49 29 3d 50 56 45 28 49 29 2d 30 2e 30 31 32 31 35 30 35 38 31 44 .......PV(I)=PVE(I)-0.012150581D
19ad20 30 2a 50 56 4d 28 49 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 0*PVM(I)...................END.D
19ad40 4f 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 53 75 6e 20 74 6f 20 56 65 6e 75 73 0a 20 O........*........Sun.to.Venus..
19ad60 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 50 4c 41 4e 45 54 .................CALL.sla_PLANET
19ad80 28 44 4a 44 4d 2c 32 2c 50 56 2c 4a 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 45 61 (DJDM,2,PV,J)........*........Ea
19ada0 72 74 68 20 74 6f 20 56 65 6e 75 73 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 rth.to.Venus...................D
19adc0 4f 20 49 3d 31 2c 36 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 56 28 O.I=1,6......................PV(
19ade0 49 29 3d 50 56 28 49 29 2d 50 56 45 28 49 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 I)=PV(I)-PVE(I).................
19ae00 20 20 45 4e 44 20 44 4f 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 4c 69 67 68 74 20 74 ..END.DO........*........Light.t
19ae20 69 6d 65 20 74 6f 20 56 65 6e 75 73 20 28 73 65 63 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 ime.to.Venus.(sec)..............
19ae40 20 20 20 20 20 54 4c 3d 34 39 39 2e 30 30 34 37 38 32 44 30 2a 53 51 52 54 28 28 50 56 28 31 29 .....TL=499.004782D0*SQRT((PV(1)
19ae60 2d 50 56 45 28 31 29 29 2a 2a 32 2b 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 -PVE(1))**2+............:.......
19ae80 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 28 50 56 28 32 29 2d 50 56 45 28 32 ....................(PV(2)-PVE(2
19aea0 29 29 2a 2a 32 2b 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 ))**2+............:.............
19aec0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 28 50 56 28 33 29 2d 50 56 45 28 33 29 29 2a 2a 32 29 ..............(PV(3)-PVE(3))**2)
19aee0 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 45 78 74 72 61 70 6f 6c 61 74 65 20 62 61 63 ........*........Extrapolate.bac
19af00 6b 77 61 72 64 73 20 69 6e 20 74 69 6d 65 20 62 79 20 74 68 61 74 20 6d 75 63 68 0a 20 20 20 20 kwards.in.time.by.that.much.....
19af20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 20 49 3d 31 2c 33 0a 20 20 20 20 20 20 20 20 20 ..............DO.I=1,3..........
19af40 20 20 20 20 20 20 20 20 20 20 20 20 50 56 28 49 29 3d 50 56 28 49 29 2d 54 4c 2a 50 56 28 49 2b ............PV(I)=PV(I)-TL*PV(I+
19af60 33 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 0a 20 20 20 3)...................END.DO.....
19af80 20 20 20 2a 20 20 20 20 20 20 20 54 6f 20 52 41 2c 44 65 63 0a 20 20 20 20 20 20 20 20 20 20 20 ...*.......To.RA,Dec............
19afa0 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 43 43 32 53 28 50 56 2c 52 56 2c 44 56 29 0a .......CALL.sla_DCC2S(PV,RV,DV).
19afc0 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 53 61 6d 65 20 66 6f 72 20 4a 75 70 69 74 65 72 .......*........Same.for.Jupiter
19afe0 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 50 4c 41 4e ...................CALL.sla_PLAN
19b000 45 54 28 44 4a 44 4d 2c 35 2c 50 56 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ET(DJDM,5,PV,J).................
19b020 20 20 44 4f 20 49 3d 31 2c 36 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ..DO.I=1,6......................
19b040 50 56 28 49 29 3d 50 56 28 49 29 2d 50 56 45 28 49 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 PV(I)=PV(I)-PVE(I)..............
19b060 20 20 20 20 20 45 4e 44 20 44 4f 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 54 4c .....END.DO...................TL
19b080 3d 34 39 39 2e 30 30 34 37 38 32 44 30 2a 53 51 52 54 28 28 50 56 28 31 29 2d 50 56 45 28 31 29 =499.004782D0*SQRT((PV(1)-PVE(1)
19b0a0 29 2a 2a 32 2b 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 )**2+............:..............
19b0c0 20 20 20 20 20 20 20 20 20 20 20 20 20 28 50 56 28 32 29 2d 50 56 45 28 32 29 29 2a 2a 32 2b 0a .............(PV(2)-PVE(2))**2+.
19b0e0 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ...........:....................
19b100 20 20 20 20 20 20 20 28 50 56 28 33 29 2d 50 56 45 28 33 29 29 2a 2a 32 29 0a 20 20 20 20 20 20 .......(PV(3)-PVE(3))**2).......
19b120 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 20 49 3d 31 2c 33 0a 20 20 20 20 20 20 20 20 20 20 20 ............DO.I=1,3............
19b140 20 20 20 20 20 20 20 20 20 20 50 56 28 49 29 3d 50 56 28 49 29 2d 54 4c 2a 50 56 28 49 2b 33 29 ..........PV(I)=PV(I)-TL*PV(I+3)
19b160 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 20 20 20 20 20 20 ...................END.DO.......
19b180 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 43 43 32 53 28 50 56 2c 52 4a ............CALL.sla_DCC2S(PV,RJ
19b1a0 2c 44 4a 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 53 65 70 61 72 61 74 69 6f 6e 20 ,DJ)........*........Separation.
19b1c0 28 61 72 63 73 65 63 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 53 45 50 3d 73 (arcsec)...................SEP=s
19b1e0 6c 61 5f 44 53 45 50 28 52 56 2c 44 56 2c 52 4a 2c 44 4a 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 la_DSEP(RV,DV,RJ,DJ)........*...
19b200 20 20 20 20 20 4b 65 65 70 20 69 66 20 73 6d 61 6c 6c 65 73 74 20 73 6f 20 66 61 72 0a 20 20 20 .....Keep.if.smallest.so.far....
19b220 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 46 20 28 53 45 50 2e 4c 54 2e 53 45 50 4d 49 4e ...............IF.(SEP.LT.SEPMIN
19b240 29 20 54 48 45 4e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 48 4d 49 ).THEN......................IHMI
19b260 4e 3d 49 48 4f 55 52 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 4d 4d N=IHOUR......................IMM
19b280 49 4e 3d 49 4d 49 4e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 53 45 50 IN=IMIN......................SEP
19b2a0 4d 49 4e 3d 53 45 50 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 49 46 MIN=SEP...................END.IF
19b2c0 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 20 20 20 20 20 20 20 20 20 ................END.DO..........
19b2e0 20 20 20 45 4e 44 20 44 4f 0a 0a 20 20 20 20 20 20 2a 20 20 52 65 70 6f 72 74 0a 20 20 20 20 20 ...END.DO........*..Report......
19b300 20 20 20 20 20 20 20 57 52 49 54 45 20 28 2a 2c 27 28 31 58 2c 49 32 2e 32 2c 27 27 3a 27 27 2c .......WRITE.(*,'(1X,I2.2,'':'',
19b320 49 32 2e 32 2c 46 36 2e 31 29 27 29 20 49 48 4d 49 4e 2c 49 4d 4d 49 4e 2c 0a 20 20 20 20 20 20 I2.2,F6.1)').IHMIN,IMMIN,.......
19b340 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .....:..........................
19b360 20 20 20 20 20 20 20 20 20 20 20 20 32 30 36 32 36 34 2e 38 30 36 32 44 30 2a 53 45 50 4d 49 4e ............206264.8062D0*SEPMIN
19b380 0a 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 0a 54 68 65 ..............END.</PRE>.<P>.The
19b3a0 20 6f 75 74 70 75 74 20 70 72 6f 64 75 63 65 64 20 28 74 68 65 20 45 70 68 65 6d 65 72 69 73 20 .output.produced.(the.Ephemeris.
19b3c0 54 69 6d 65 20 6f 6e 20 74 68 65 20 64 61 79 20 69 6e 20 71 75 65 73 74 69 6f 6e 2c 20 61 6e 64 Time.on.the.day.in.question,.and
19b3e0 0a 74 68 65 20 63 6c 6f 73 65 73 74 20 61 70 70 72 6f 61 63 68 20 69 6e 20 61 72 63 73 65 63 6f .the.closest.approach.in.arcseco
19b400 6e 64 73 29 20 69 73 20 61 73 20 66 6f 6c 6c 6f 77 73 3a 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 nds).is.as.follows:.<P><PRE>....
19b420 20 20 20 32 31 3a 31 39 20 20 33 33 2e 37 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 0a 46 6f 72 20 63 6f ...21:19..33.7.</PRE>.<P>.For.co
19b440 6d 70 61 72 69 73 6f 6e 2c 20 61 63 63 75 72 61 74 65 20 70 72 65 64 69 63 74 69 6f 6e 73 20 62 mparison,.accurate.predictions.b
19b460 61 73 65 64 20 6f 6e 20 74 68 65 20 4a 50 4c 20 44 45 31 30 32 20 65 70 68 65 6d 65 72 69 73 0a ased.on.the.JPL.DE102.ephemeris.
19b480 67 69 76 65 20 61 20 73 65 70 61 72 61 74 69 6f 6e 20 61 62 6f 75 74 20 3c 49 4d 47 20 57 49 44 give.a.separation.about.<IMG.WID
19b4a0 54 48 3d 22 31 37 22 20 48 45 49 47 48 54 3d 22 31 38 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f TH="17".HEIGHT="18".ALIGN="BOTTO
19b4c0 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 31 39 2e 67 69 66 22 0a M".BORDER="0"..SRC="img319.gif".
19b4e0 20 41 4c 54 3d 22 24 38 5c 68 73 70 61 63 65 7b 2d 30 2e 30 35 65 6d 7d 5e 7b 27 5c 68 73 70 61 .ALT="$8\hspace{-0.05em}^{'\hspa
19b500 63 65 7b 2d 30 2e 31 65 6d 7d 27 7d 24 22 3e 20 6c 65 73 73 20 74 68 61 6e 0a 74 68 65 20 61 62 ce{-0.1em}'}$">.less.than.the.ab
19b520 6f 76 65 20 65 73 74 69 6d 61 74 65 2c 20 6f 63 63 75 72 72 69 6e 67 20 61 62 6f 75 74 20 68 61 ove.estimate,.occurring.about.ha
19b540 6c 66 20 61 6e 20 68 6f 75 72 20 65 61 72 6c 69 65 72 0a 28 73 65 65 20 3c 49 3e 53 6b 79 20 61 lf.an.hour.earlier.(see.<I>Sky.a
19b560 6e 64 20 54 65 6c 65 73 63 6f 70 65 2c 3c 2f 49 3e 20 41 70 72 69 6c 26 6e 62 73 70 3b 31 39 38 nd.Telescope,</I>.April&nbsp;198
19b580 37 2c 20 70 33 35 37 29 2e 0a 3c 50 3e 0a 54 68 65 20 66 6f 6c 6c 6f 77 69 6e 67 20 70 72 6f 67 7,.p357)..<P>.The.following.prog
19b5a0 72 61 6d 20 64 65 6d 6f 6e 73 74 72 61 74 65 73 0a 73 6c 61 5f 52 44 50 4c 41 4e 2e 0a 3c 50 52 ram.demonstrates.sla_RDPLAN..<PR
19b5c0 45 3e 0a 20 20 20 20 20 20 2a 20 20 46 6f 72 20 61 20 67 69 76 65 6e 20 64 61 74 65 2c 20 74 69 E>.......*..For.a.given.date,.ti
19b5e0 6d 65 20 61 6e 64 20 67 65 6f 67 72 61 70 68 69 63 61 6c 20 6c 6f 63 61 74 69 6f 6e 2c 20 6f 75 me.and.geographical.location,.ou
19b600 74 70 75 74 0a 20 20 20 20 20 20 2a 20 20 61 20 74 61 62 6c 65 20 6f 66 20 70 6c 61 6e 65 74 61 tput.......*..a.table.of.planeta
19b620 72 79 20 70 6f 73 69 74 69 6f 6e 73 20 61 6e 64 20 64 69 61 6d 65 74 65 72 73 2e 0a 0a 20 20 20 ry.positions.and.diameters......
19b640 20 20 20 20 20 20 20 20 20 49 4d 50 4c 49 43 49 54 20 4e 4f 4e 45 0a 20 20 20 20 20 20 20 20 20 .........IMPLICIT.NONE..........
19b660 20 20 20 43 48 41 52 41 43 54 45 52 20 50 4e 41 4d 45 53 28 30 3a 39 29 2a 37 2c 42 2a 38 30 2c ...CHARACTER.PNAMES(0:9)*7,B*80,
19b680 53 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 4e 54 45 47 45 52 20 49 2c 4e 50 2c 49 59 2c 4a 2c S.............INTEGER.I,NP,IY,J,
19b6a0 49 4d 2c 49 44 2c 49 48 4d 53 46 28 34 29 2c 49 44 4d 53 46 28 34 29 0a 20 20 20 20 20 20 20 20 IM,ID,IHMSF(4),IDMSF(4).........
19b6c0 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 52 32 41 53 2c 46 44 2c 44 4a 4d ....DOUBLE.PRECISION.R2AS,FD,DJM
19b6e0 2c 45 4c 4f 4e 47 2c 50 48 49 2c 52 41 2c 44 45 43 2c 44 49 41 4d 0a 20 20 20 20 20 20 20 20 20 ,ELONG,PHI,RA,DEC,DIAM..........
19b700 20 20 20 50 41 52 41 4d 45 54 45 52 20 28 52 32 41 53 3d 32 30 36 32 36 34 2e 38 30 36 32 35 44 ...PARAMETER.(R2AS=206264.80625D
19b720 30 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 41 54 41 20 50 4e 41 4d 45 53 20 2f 20 27 53 75 0).............DATA.PNAMES./.'Su
19b740 6e 27 2c 27 4d 65 72 63 75 72 79 27 2c 27 56 65 6e 75 73 27 2c 27 4d 6f 6f 6e 27 2c 27 4d 61 72 n','Mercury','Venus','Moon','Mar
19b760 73 27 2c 27 4a 75 70 69 74 65 72 27 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 s','Jupiter',............:......
19b780 20 20 20 20 20 20 20 20 27 53 61 74 75 72 6e 27 2c 27 55 72 61 6e 75 73 27 2c 27 4e 65 70 74 75 ........'Saturn','Uranus','Neptu
19b7a0 6e 65 27 2c 20 27 50 6c 75 74 6f 27 20 2f 0a 0a 0a 20 20 20 20 20 20 2a 20 20 4c 6f 6f 70 20 75 ne',.'Pluto'./.........*..Loop.u
19b7c0 6e 74 69 6c 20 27 65 6e 64 27 20 74 79 70 65 64 0a 20 20 20 20 20 20 20 20 20 20 20 20 42 3d 27 ntil.'end'.typed.............B='
19b7e0 20 27 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 20 57 48 49 4c 45 20 28 42 2e 4e 45 2e 27 45 .'.............DO.WHILE.(B.NE.'E
19b800 4e 44 27 2e 41 4e 44 2e 42 2e 4e 45 2e 27 65 6e 64 27 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 ND'.AND.B.NE.'end')........*....
19b820 20 47 65 74 20 64 61 74 65 2c 20 74 69 6d 65 20 61 6e 64 20 6f 62 73 65 72 76 65 72 27 73 20 6c .Get.date,.time.and.observer's.l
19b840 6f 63 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 52 49 4e 54 20 2a 2c 27 ocation................PRINT.*,'
19b860 44 61 74 65 3f 20 28 59 2c 4d 2c 44 2c 20 47 72 65 67 6f 72 69 61 6e 29 27 0a 20 20 20 20 20 20 Date?.(Y,M,D,.Gregorian)'.......
19b880 20 20 20 20 20 20 20 20 20 52 45 41 44 20 28 2a 2c 27 28 41 29 27 29 20 42 0a 20 20 20 20 20 20 .........READ.(*,'(A)').B.......
19b8a0 20 20 20 20 20 20 20 20 20 49 46 20 28 42 2e 4e 45 2e 27 45 4e 44 27 2e 41 4e 44 2e 42 2e 4e 45 .........IF.(B.NE.'END'.AND.B.NE
19b8c0 2e 27 65 6e 64 27 29 20 54 48 45 4e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 .'end').THEN...................I
19b8e0 3d 31 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 49 4e =1...................CALL.sla_IN
19b900 54 49 4e 28 42 2c 49 2c 49 59 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 TIN(B,I,IY,J)...................
19b920 43 41 4c 4c 20 73 6c 61 5f 49 4e 54 49 4e 28 42 2c 49 2c 49 4d 2c 4a 29 0a 20 20 20 20 20 20 20 CALL.sla_INTIN(B,I,IM,J)........
19b940 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 49 4e 54 49 4e 28 42 2c 49 2c 49 44 ...........CALL.sla_INTIN(B,I,ID
19b960 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 52 49 4e 54 20 2a 2c 27 54 ,J)...................PRINT.*,'T
19b980 69 6d 65 3f 20 28 48 2c 4d 2c 53 2c 20 64 79 6e 61 6d 69 63 61 6c 29 27 0a 20 20 20 20 20 20 20 ime?.(H,M,S,.dynamical)'........
19b9a0 20 20 20 20 20 20 20 20 20 20 20 52 45 41 44 20 28 2a 2c 27 28 41 29 27 29 20 42 0a 20 20 20 20 ...........READ.(*,'(A)').B.....
19b9c0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 3d 31 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ..............I=1...............
19b9e0 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 41 46 49 4e 28 42 2c 49 2c 46 44 2c 4a 29 0a 20 20 20 ....CALL.sla_DAFIN(B,I,FD,J)....
19ba00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 46 44 3d 46 44 2a 32 2e 33 38 37 33 32 34 31 34 36 ...............FD=FD*2.387324146
19ba20 33 37 38 34 33 30 30 33 36 35 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 3784300365D0...................C
19ba40 41 4c 4c 20 73 6c 61 5f 43 4c 44 4a 28 49 59 2c 49 4d 2c 49 44 2c 44 4a 4d 2c 4a 29 0a 20 20 20 ALL.sla_CLDJ(IY,IM,ID,DJM,J)....
19ba60 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 4a 4d 3d 44 4a 4d 2b 46 44 0a 20 20 20 20 20 20 ...............DJM=DJM+FD.......
19ba80 20 20 20 20 20 20 20 20 20 20 20 20 50 52 49 4e 54 20 2a 2c 27 4c 6f 6e 67 69 74 75 64 65 3f 20 ............PRINT.*,'Longitude?.
19baa0 28 44 2c 4d 2c 53 2c 20 65 61 73 74 20 2b 76 65 29 27 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 (D,M,S,.east.+ve)'..............
19bac0 20 20 20 20 20 52 45 41 44 20 28 2a 2c 27 28 41 29 27 29 20 42 0a 20 20 20 20 20 20 20 20 20 20 .....READ.(*,'(A)').B...........
19bae0 20 20 20 20 20 20 20 20 49 3d 31 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 ........I=1...................CA
19bb00 4c 4c 20 73 6c 61 5f 44 41 46 49 4e 28 42 2c 49 2c 45 4c 4f 4e 47 2c 4a 29 0a 20 20 20 20 20 20 LL.sla_DAFIN(B,I,ELONG,J).......
19bb20 20 20 20 20 20 20 20 20 20 20 20 20 50 52 49 4e 54 20 2a 2c 27 4c 61 74 69 74 75 64 65 3f 20 28 ............PRINT.*,'Latitude?.(
19bb40 44 2c 4d 2c 53 2c 20 28 67 65 6f 64 65 74 69 63 29 27 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 D,M,S,.(geodetic)'..............
19bb60 20 20 20 20 20 52 45 41 44 20 28 2a 2c 27 28 41 29 27 29 20 42 0a 20 20 20 20 20 20 20 20 20 20 .....READ.(*,'(A)').B...........
19bb80 20 20 20 20 20 20 20 20 49 3d 31 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 ........I=1...................CA
19bba0 4c 4c 20 73 6c 61 5f 44 41 46 49 4e 28 42 2c 49 2c 50 48 49 2c 4a 29 0a 0a 20 20 20 20 20 20 2a LL.sla_DAFIN(B,I,PHI,J)........*
19bbc0 20 20 20 20 20 20 20 20 4c 6f 6f 70 20 70 6c 61 6e 65 74 20 62 79 20 70 6c 61 6e 65 74 0a 20 20 ........Loop.planet.by.planet...
19bbe0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 20 4e 50 3d 30 2c 38 0a 0a 20 20 20 20 20 ................DO.NP=0,8.......
19bc00 20 2a 20 20 20 20 20 20 20 20 20 20 20 47 65 74 20 52 41 2c 44 65 63 20 61 6e 64 20 64 69 61 6d .*...........Get.RA,Dec.and.diam
19bc20 65 74 65 72 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 eter......................CALL.s
19bc40 6c 61 5f 52 44 50 4c 41 4e 28 44 4a 4d 2c 4e 50 2c 45 4c 4f 4e 47 2c 50 48 49 2c 52 41 2c 44 45 la_RDPLAN(DJM,NP,ELONG,PHI,RA,DE
19bc60 43 2c 44 49 41 4d 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 20 20 20 4f 6e 65 20 6c C,DIAM)........*...........One.l
19bc80 69 6e 65 20 6f 66 20 72 65 70 6f 72 74 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ine.of.report...................
19bca0 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 52 32 54 46 28 32 2c 52 41 2c 53 2c 49 48 4d 53 46 29 0a ...CALL.sla_DR2TF(2,RA,S,IHMSF).
19bcc0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 52 .....................CALL.sla_DR
19bce0 32 41 46 28 31 2c 44 45 43 2c 53 2c 49 44 4d 53 46 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 2AF(1,DEC,S,IDMSF)..............
19bd00 20 20 20 20 20 20 20 20 57 52 49 54 45 20 28 2a 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 27 ........WRITE.(*,............:.'
19bd20 28 31 58 2c 41 2c 32 58 2c 33 49 33 2e 32 2c 27 27 2e 27 27 2c 49 32 2e 32 2c 32 58 2c 41 2c 49 (1X,A,2X,3I3.2,''.'',I2.2,2X,A,I
19bd40 32 2e 32 2c 32 49 33 2e 32 2c 27 27 2e 27 27 2c 49 31 2c 46 38 2e 31 29 27 29 0a 20 20 20 20 20 2.2,2I3.2,''.'',I1,F8.1)')......
19bd60 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ......:.........................
19bd80 20 50 4e 41 4d 45 53 28 4e 50 29 2c 49 48 4d 53 46 2c 53 2c 49 44 4d 53 46 2c 52 32 41 53 2a 44 .PNAMES(NP),IHMSF,S,IDMSF,R2AS*D
19bda0 49 41 4d 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 20 20 20 20 20 20 4e 65 78 74 20 70 6c 61 6e IAM........*...........Next.plan
19bdc0 65 74 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 20 20 20 20 et...................END.DO.....
19bde0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 52 49 4e 54 20 2a 2c 27 20 27 0a 20 20 20 20 20 20 ..............PRINT.*,'.'.......
19be00 20 20 20 20 20 20 20 20 20 45 4e 44 20 49 46 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 4e 65 78 .........END.IF........*.....Nex
19be20 74 20 63 61 73 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 0a 20 20 20 20 20 t.case.............END.DO.......
19be40 20 20 20 20 20 20 20 45 4e 44 0a 3c 2f 50 52 45 3e 0a 45 6e 74 65 72 69 6e 67 20 74 68 65 20 66 .......END.</PRE>.Entering.the.f
19be60 6f 6c 6c 6f 77 69 6e 67 20 64 61 74 61 20 28 66 6f 72 20 31 39 32 37 26 6e 62 73 70 3b 4a 75 6e ollowing.data.(for.1927&nbsp;Jun
19be80 65 26 6e 62 73 70 3b 32 39 20 61 74 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 39 22 20 48 45 49 e&nbsp;29.at.<IMG.WIDTH="49".HEI
19bea0 47 48 54 3d 22 31 37 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 GHT="17".ALIGN="BOTTOM".BORDER="
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19bee0 72 6d 20 68 7d 5c 2c 32 35 5e 7b 5c 72 6d 20 6d 7d 24 22 3e 26 6e 62 73 70 3b 45 54 0a 61 6e 64 rm.h}\,25^{\rm.m}$">&nbsp;ET.and
19bf00 20 74 68 65 20 70 6f 73 69 74 69 6f 6e 20 6f 66 20 50 72 65 73 74 6f 6e 2c 20 55 4b 2e 29 3a 0a .the.position.of.Preston,.UK.):.
19bf20 3c 50 52 45 3e 0a 20 20 20 20 20 20 31 39 32 37 20 36 20 32 39 0a 20 20 20 20 20 20 35 20 32 35 <PRE>.......1927.6.29.......5.25
19bf40 0a 20 20 20 20 20 20 2d 32 20 34 32 0a 20 20 20 20 20 20 35 33 20 34 36 0a 3c 2f 50 52 45 3e 0a .......-2.42.......53.46.</PRE>.
19bf60 70 72 6f 64 75 63 65 73 20 74 68 65 20 66 6f 6c 6c 6f 77 69 6e 67 20 72 65 70 6f 72 74 3a 0a 3c produces.the.following.report:.<
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19bfa0 20 20 2b 32 33 20 31 37 20 31 37 2e 35 20 20 31 38 38 37 2e 38 0a 20 20 20 20 20 20 4d 65 72 63 ..+23.17.17.5..1887.8.......Merc
19bfc0 75 72 79 20 20 20 30 38 20 30 38 20 35 38 2e 36 32 20 20 2b 31 39 20 32 30 20 35 37 2e 33 20 20 ury...08.08.58.62..+19.20.57.3..
19bfe0 20 20 20 39 2e 33 0a 20 20 20 20 20 20 56 65 6e 75 73 20 20 20 20 20 30 39 20 33 38 20 35 33 2e ...9.3.......Venus.....09.38.53.
19c000 36 34 20 20 2b 31 35 20 33 35 20 33 32 2e 39 20 20 20 20 32 32 2e 38 0a 20 20 20 20 20 20 4d 6f 64..+15.35.32.9....22.8.......Mo
19c020 6f 6e 20 20 20 20 20 20 30 36 20 32 38 20 31 38 2e 33 30 20 20 2b 32 33 20 31 38 20 33 37 2e 33 on......06.28.18.30..+23.18.37.3
19c040 20 20 31 39 30 33 2e 39 0a 20 20 20 20 20 20 4d 61 72 73 20 20 20 20 20 20 30 39 20 30 36 20 34 ..1903.9.......Mars......09.06.4
19c060 39 2e 33 34 20 20 2b 31 37 20 35 32 20 32 36 2e 37 20 20 20 20 20 34 2e 30 0a 20 20 20 20 20 20 9.34..+17.52.26.7.....4.0.......
19c080 4a 75 70 69 74 65 72 20 20 20 30 30 20 31 31 20 31 32 2e 30 36 20 20 2d 30 30 20 31 30 20 35 37 Jupiter...00.11.12.06..-00.10.57
19c0a0 2e 35 20 20 20 20 34 31 2e 31 0a 20 20 20 20 20 20 53 61 74 75 72 6e 20 20 20 20 31 36 20 30 31 .5....41.1.......Saturn....16.01
19c0c0 20 34 33 2e 33 34 20 20 2d 31 38 20 33 36 20 35 35 2e 39 20 20 20 20 31 38 2e 32 0a 20 20 20 20 .43.34..-18.36.55.9....18.2.....
19c0e0 20 20 55 72 61 6e 75 73 20 20 20 20 30 30 20 31 33 20 33 33 2e 35 33 20 20 2b 30 30 20 33 39 20 ..Uranus....00.13.33.53..+00.39.
19c100 33 36 2e 30 20 20 20 20 20 33 2e 35 0a 20 20 20 20 20 20 4e 65 70 74 75 6e 65 20 20 20 30 39 20 36.0.....3.5.......Neptune...09.
19c120 34 39 20 33 35 2e 37 35 20 20 2b 31 33 20 33 38 20 34 30 2e 38 20 20 20 20 20 32 2e 32 0a 20 20 49.35.75..+13.38.40.8.....2.2...
19c140 20 20 20 20 50 6c 75 74 6f 20 20 20 20 20 30 37 20 30 35 20 32 39 2e 35 30 20 20 2b 32 31 20 32 ....Pluto.....07.05.29.50..+21.2
19c160 35 20 30 34 2e 32 20 20 20 20 20 20 2e 31 0a 3c 2f 50 52 45 3e 0a 49 6e 73 70 65 63 74 69 6f 6e 5.04.2.......1.</PRE>.Inspection
19c180 20 6f 66 20 74 68 65 20 53 75 6e 20 61 6e 64 20 4d 6f 6f 6e 20 64 61 74 61 20 72 65 76 65 61 6c .of.the.Sun.and.Moon.data.reveal
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19c360 73 6c 61 5f 50 4c 41 4e 45 54 2e 0a 3c 50 3e 0a 54 68 65 20 53 4c 41 4c 49 42 20 70 6c 61 6e 65 sla_PLANET..<P>.The.SLALIB.plane
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19c580 2e 20 20 49 6e 20 61 64 64 69 74 69 6f 6e 2c 20 74 68 65 20 72 6f 75 74 69 6e 65 0a 73 6c 61 5f ...In.addition,.the.routine.sla_
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19c780 20 70 6c 61 6e 65 74 27 73 20 6f 73 63 75 6c 61 74 69 6e 67 20 65 6c 65 6d 65 6e 74 73 20 66 6f .planet's.osculating.elements.fo
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19c7c0 20 66 6f 72 20 61 20 64 61 74 65 20 65 76 65 6e 20 6a 75 73 74 0a 31 30 30 20 64 61 79 73 20 65 .for.a.date.even.just.100.days.e
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19c820 0a 54 68 65 73 65 20 65 72 72 6f 72 73 20 63 61 6e 0a 62 65 20 72 65 64 75 63 65 64 20 69 66 20 .These.errors.can.be.reduced.if.
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1a0600 45 58 50 4c 41 4e 41 54 49 4f 4e 20 41 4e 44 20 45 58 41 4d 50 4c 45 53 3c 2f 41 3e 0a 3c 42 52 EXPLANATION.AND.EXAMPLES</A>.<BR
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1a2fa0 0a 41 74 20 74 68 65 20 68 65 61 72 74 20 6f 66 20 6d 61 6e 79 20 73 69 6d 75 6c 61 74 69 6f 6e .At.the.heart.of.many.simulation
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1a31a0 41 70 70 6c 69 63 61 74 69 6f 6e 73 20 77 68 69 63 68 20 70 65 72 66 6f 72 6d 20 61 20 6c 65 61 Applications.which.perform.a.lea
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1a33e0 6c 61 74 65 64 20 64 61 74 61 0a 70 6f 69 6e 74 73 20 61 6e 64 20 66 69 74 73 20 74 68 65 6d 20 lated.data.points.and.fits.them.
1a3400 74 6f 20 61 20 6d 6f 64 65 6c 20 77 68 69 63 68 20 68 61 73 20 34 20 75 6e 6b 6e 6f 77 6e 20 63 to.a.model.which.has.4.unknown.c
1a3420 6f 65 66 66 69 63 69 65 6e 74 73 2e 0a 28 54 68 65 20 61 72 72 61 79 73 20 69 6e 20 74 68 65 20 oefficients..(The.arrays.in.the.
1a3440 65 78 61 6d 70 6c 65 20 61 72 65 20 73 69 7a 65 64 20 74 6f 20 61 63 63 65 70 74 20 75 70 20 74 example.are.sized.to.accept.up.t
1a3460 6f 20 31 30 30 30 0a 70 6f 69 6e 74 73 20 61 6e 64 20 32 30 20 75 6e 6b 6e 6f 77 6e 73 2e 29 20 o.1000.points.and.20.unknowns.).
1a3480 20 54 68 65 20 6d 6f 64 65 6c 20 69 73 3a 0a 0a 3c 50 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 .The.model.is:..<P.ALIGN="CENTER
1a34a0 22 3e 0a 3c 49 3e 79 3c 2f 49 3e 20 3d 20 3c 49 3e 43 3c 53 55 42 3e 31 3c 2f 53 55 42 3e 3c 2f ">.<I>y</I>.=.<I>C<SUB>1</SUB></
1a34c0 49 3e 20 2b 3c 49 3e 43 3c 53 55 42 3e 32 3c 2f 53 55 42 3e 78 3c 2f 49 3e 20 2b 3c 49 3e 43 3c I>.+<I>C<SUB>2</SUB>x</I>.+<I>C<
1a34e0 53 55 42 3e 33 3c 2f 53 55 42 3e 73 69 6e 3c 2f 49 3e 3c 49 3e 78 3c 2f 49 3e 20 2b 3c 49 3e 43 SUB>3</SUB>sin</I><I>x</I>.+<I>C
1a3500 3c 53 55 42 3e 34 3c 2f 53 55 42 3e 63 6f 73 3c 2f 49 3e 3c 49 3e 78 3c 2f 49 3e 20 0a 3c 2f 50 <SUB>4</SUB>cos</I><I>x</I>..</P
1a3520 3e 0a 54 68 65 20 74 65 73 74 20 76 61 6c 75 65 73 20 66 6f 72 20 74 68 65 20 66 6f 75 72 20 63 >.The.test.values.for.the.four.c
1a3540 6f 65 66 66 69 63 69 65 6e 74 73 20 61 72 65 0a 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 39 22 20 oefficients.are.<IMG.WIDTH="79".
1a3560 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 HEIGHT="27".ALIGN="MIDDLE".BORDE
1a3580 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 32 35 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 43 R="0"..SRC="img325.gif"..ALT="$C
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1a35c0 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 HEIGHT="27".ALIGN="MIDDLE".BORDE
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1a3620 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 EIGHT="27".ALIGN="MIDDLE".BORDER
1a3640 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 32 37 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 43 5f ="0"..SRC="img327.gif"..ALT="$C_
1a3660 33 5c 21 3d 5c 21 2d 31 30 2e 30 24 22 3e 20 61 6e 64 0a 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 3\!=\!-10.0$">.and.<IMG.WIDTH="7
1a3680 39 22 20 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 9".HEIGHT="27".ALIGN="MIDDLE".BO
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1a36c0 22 24 43 5f 34 5c 21 3d 5c 21 2b 32 35 2e 30 24 22 3e 2e 47 61 75 73 73 69 61 6e 20 6e 6f 69 73 "$C_4\!=\!+25.0$">.Gaussian.nois
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1a3700 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 LIGN="BOTTOM".BORDER="0"..SRC="i
1a3720 6d 67 33 32 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 73 69 67 6d 61 3d 35 2e 30 24 22 3e 2c mg329.gif"..ALT="$\sigma=5.0$">,
1a3740 20 69 73 20 61 64 64 65 64 20 74 6f 20 65 61 63 68 20 60 60 6f 62 73 65 72 76 61 74 69 6f 6e 27 .is.added.to.each.``observation'
1a3760 27 2e 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 4d 50 4c 49 43 49 54 '..<P><PRE>.............IMPLICIT
1a3780 20 4e 4f 4e 45 0a 0a 20 20 20 20 20 20 2a 20 20 53 69 7a 65 73 20 6f 66 20 61 72 72 61 79 73 2c .NONE........*..Sizes.of.arrays,
1a37a0 20 70 68 79 73 69 63 61 6c 20 61 6e 64 20 6c 6f 67 69 63 61 6c 0a 20 20 20 20 20 20 20 20 20 20 .physical.and.logical...........
1a37c0 20 20 49 4e 54 45 47 45 52 20 4d 50 2c 4e 50 2c 4e 43 2c 4d 2c 4e 0a 20 20 20 20 20 20 20 20 20 ..INTEGER.MP,NP,NC,M,N..........
1a37e0 20 20 20 50 41 52 41 4d 45 54 45 52 20 28 4d 50 3d 31 30 30 30 2c 4e 50 3d 31 30 2c 4e 43 3d 32 ...PARAMETER.(MP=1000,NP=10,NC=2
1a3800 30 2c 4d 3d 35 30 30 2c 4e 3d 34 29 0a 0a 20 20 20 20 20 20 2a 20 20 54 68 65 20 75 6e 6b 6e 6f 0,M=500,N=4)........*..The.unkno
1a3820 77 6e 73 20 77 65 20 61 72 65 20 67 6f 69 6e 67 20 74 6f 20 73 6f 6c 76 65 20 66 6f 72 0a 20 20 wns.we.are.going.to.solve.for...
1a3840 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 43 31 2c 43 32 ..........DOUBLE.PRECISION.C1,C2
1a3860 2c 43 33 2c 43 34 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 41 52 41 4d 45 54 45 52 20 28 43 31 ,C3,C4.............PARAMETER.(C1
1a3880 3d 35 30 44 30 2c 43 32 3d 2d 32 44 30 2c 43 33 3d 2d 31 30 44 30 2c 43 34 3d 32 35 44 30 29 0a =50D0,C2=-2D0,C3=-10D0,C4=25D0).
1a38a0 0a 20 20 20 20 20 20 2a 20 20 41 72 72 61 79 73 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 .......*..Arrays.............DOU
1a38c0 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 41 28 4d 50 2c 4e 50 29 2c 57 28 4e 50 29 2c 56 28 4e BLE.PRECISION.A(MP,NP),W(NP),V(N
1a38e0 50 2c 4e 50 29 2c 0a 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 P,NP),............:.............
1a3900 20 20 20 20 57 4f 52 4b 28 4e 50 29 2c 42 28 4d 50 29 2c 58 28 4e 50 29 2c 43 56 4d 28 4e 43 2c ....WORK(NP),B(MP),X(NP),CVM(NC,
1a3920 4e 43 29 0a 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f NC)..............DOUBLE.PRECISIO
1a3940 4e 20 56 41 4c 2c 42 46 31 2c 42 46 32 2c 42 46 33 2c 42 46 34 2c 53 44 32 2c 44 2c 56 41 52 0a N.VAL,BF1,BF2,BF3,BF4,SD2,D,VAR.
1a3960 20 20 20 20 20 20 20 20 20 20 20 20 52 45 41 4c 20 73 6c 61 5f 47 52 45 53 49 44 0a 20 20 20 20 ............REAL.sla_GRESID.....
1a3980 20 20 20 20 20 20 20 20 49 4e 54 45 47 45 52 20 49 2c 4a 0a 0a 20 20 20 20 20 20 2a 20 20 46 69 ........INTEGER.I,J........*..Fi
1a39a0 6c 6c 20 74 68 65 20 64 65 73 69 67 6e 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 20 ll.the.design.matrix............
1a39c0 20 44 4f 20 49 3d 31 2c 4d 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 44 75 6d 6d 79 20 69 6e 64 .DO.I=1,M........*.....Dummy.ind
1a39e0 65 70 65 6e 64 65 6e 74 20 76 61 72 69 61 62 6c 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ependent.variable...............
1a3a00 20 56 41 4c 3d 44 42 4c 45 28 49 29 2f 31 30 44 30 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 54 .VAL=DBLE(I)/10D0........*.....T
1a3a20 68 65 20 62 61 73 69 73 20 66 75 6e 63 74 69 6f 6e 73 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 he.basis.functions..............
1a3a40 20 20 42 46 31 3d 31 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 42 46 32 3d 56 41 4c ..BF1=1D0................BF2=VAL
1a3a60 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 42 46 33 3d 53 49 4e 28 56 41 4c 29 0a 20 20 20 ................BF3=SIN(VAL)....
1a3a80 20 20 20 20 20 20 20 20 20 20 20 20 42 46 34 3d 43 4f 53 28 56 41 4c 29 0a 0a 20 20 20 20 20 20 ............BF4=COS(VAL)........
1a3aa0 2a 20 20 20 20 20 54 68 65 20 6f 62 73 65 72 76 65 64 20 76 61 6c 75 65 2c 20 69 6e 63 6c 75 64 *.....The.observed.value,.includ
1a3ac0 69 6e 67 20 64 65 6c 69 62 65 72 61 74 65 20 47 61 75 73 73 69 61 6e 20 6e 6f 69 73 65 0a 20 20 ing.deliberate.Gaussian.noise...
1a3ae0 20 20 20 20 20 20 20 20 20 20 20 20 20 42 28 49 29 3d 43 31 2a 42 46 31 2b 43 32 2a 42 46 32 2b .............B(I)=C1*BF1+C2*BF2+
1a3b00 43 33 2a 42 46 33 2b 43 34 2a 42 46 34 2b 44 42 4c 45 28 73 6c 61 5f 47 52 45 53 49 44 28 35 2e C3*BF3+C4*BF4+DBLE(sla_GRESID(5.
1a3b20 30 29 29 0a 0a 20 20 20 20 20 20 2a 20 20 20 20 20 46 69 6c 6c 20 6f 6e 65 20 72 6f 77 20 6f 66 0))........*.....Fill.one.row.of
1a3b40 20 74 68 65 20 64 65 73 69 67 6e 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 .the.design.matrix..............
1a3b60 20 20 41 28 49 2c 31 29 3d 42 46 31 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 41 28 49 2c ..A(I,1)=BF1................A(I,
1a3b80 32 29 3d 42 46 32 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 41 28 49 2c 33 29 3d 42 46 33 2)=BF2................A(I,3)=BF3
1a3ba0 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 41 28 49 2c 34 29 3d 42 46 34 0a 20 20 20 20 20 ................A(I,4)=BF4......
1a3bc0 20 20 20 20 20 20 20 45 4e 44 20 44 4f 0a 0a 20 20 20 20 20 20 2a 20 20 46 61 63 74 6f 72 69 7a .......END.DO........*..Factoriz
1a3be0 65 20 74 68 65 20 64 65 73 69 67 6e 20 6d 61 74 72 69 78 2c 20 73 6f 6c 76 65 20 61 6e 64 20 67 e.the.design.matrix,.solve.and.g
1a3c00 65 6e 65 72 61 74 65 20 63 6f 76 61 72 69 61 6e 63 65 20 6d 61 74 72 69 78 0a 20 20 20 20 20 20 enerate.covariance.matrix.......
1a3c20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 53 56 44 28 4d 2c 4e 2c 4d 50 2c 4e 50 2c 41 2c 57 ......CALL.sla_SVD(M,N,MP,NP,A,W
1a3c40 2c 56 2c 57 4f 52 4b 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f ,V,WORK,J).............CALL.sla_
1a3c60 53 56 44 53 4f 4c 28 4d 2c 4e 2c 4d 50 2c 4e 50 2c 42 2c 41 2c 57 2c 56 2c 57 4f 52 4b 2c 58 29 SVDSOL(M,N,MP,NP,B,A,W,V,WORK,X)
1a3c80 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 53 56 44 43 4f 56 28 4e 2c 4e .............CALL.sla_SVDCOV(N,N
1a3ca0 50 2c 4e 43 2c 57 2c 56 2c 57 4f 52 4b 2c 43 56 4d 29 0a 0a 20 20 20 20 20 20 2a 20 20 43 6f 6d P,NC,W,V,WORK,CVM)........*..Com
1a3cc0 70 75 74 65 20 74 68 65 20 76 61 72 69 61 6e 63 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 53 44 pute.the.variance.............SD
1a3ce0 32 3d 30 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 20 49 3d 31 2c 4d 0a 20 20 20 20 20 2=0D0.............DO.I=1,M......
1a3d00 20 20 20 20 20 20 20 20 20 20 56 41 4c 3d 44 42 4c 45 28 49 29 2f 31 30 44 30 0a 20 20 20 20 20 ..........VAL=DBLE(I)/10D0......
1a3d20 20 20 20 20 20 20 20 20 20 20 42 46 31 3d 31 44 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ..........BF1=1D0...............
1a3d40 20 42 46 32 3d 56 41 4c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 42 46 33 3d 53 49 4e 28 .BF2=VAL................BF3=SIN(
1a3d60 56 41 4c 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 42 46 34 3d 43 4f 53 28 56 41 4c 29 VAL)................BF4=COS(VAL)
1a3d80 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 3d 42 28 49 29 2d 28 58 28 31 29 2a 42 46 31 ................D=B(I)-(X(1)*BF1
1a3da0 2b 58 28 32 29 2a 42 46 32 2b 58 28 33 29 2a 42 46 33 2b 58 28 34 29 2a 42 46 34 29 0a 20 20 20 +X(2)*BF2+X(3)*BF3+X(4)*BF4)....
1a3dc0 20 20 20 20 20 20 20 20 20 20 20 20 53 44 32 3d 53 44 32 2b 44 2a 44 0a 20 20 20 20 20 20 20 20 ............SD2=SD2+D*D.........
1a3de0 20 20 20 20 45 4e 44 20 44 4f 0a 20 20 20 20 20 20 20 20 20 20 20 20 56 41 52 3d 53 44 32 2f 44 ....END.DO.............VAR=SD2/D
1a3e00 42 4c 45 28 4d 29 0a 0a 20 20 20 20 20 20 2a 20 20 52 65 70 6f 72 74 20 74 68 65 20 52 4d 53 20 BLE(M)........*..Report.the.RMS.
1a3e20 61 6e 64 20 74 68 65 20 73 6f 6c 75 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 20 20 20 20 57 52 49 and.the.solution.............WRI
1a3e40 54 45 20 28 2a 2c 27 28 31 58 2c 27 27 52 4d 53 20 3d 27 27 2c 46 35 2e 32 2f 29 27 29 20 53 51 TE.(*,'(1X,''RMS.='',F5.2/)').SQ
1a3e60 52 54 28 56 41 52 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 44 4f 20 49 3d 31 2c 4e 0a 20 20 20 RT(VAR).............DO.I=1,N....
1a3e80 20 20 20 20 20 20 20 20 20 20 20 20 57 52 49 54 45 20 28 2a 2c 27 28 31 58 2c 27 27 43 27 27 2c ............WRITE.(*,'(1X,''C'',
1a3ea0 49 31 2c 27 27 20 3d 27 27 2c 46 37 2e 33 2c 27 27 20 2b 2f 2d 27 27 2c 46 36 2e 33 29 27 29 0a I1,''.='',F7.3,''.+/-'',F6.3)').
1a3ec0 20 20 20 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ...........:....................
1a3ee0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 2c 58 28 49 29 2c 53 51 52 54 .....................I,X(I),SQRT
1a3f00 28 56 41 52 2a 43 56 4d 28 49 2c 49 29 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 44 (VAR*CVM(I,I)).............END.D
1a3f20 4f 0a 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 0a 54 68 65 O.............END.</PRE>.<P>.The
1a3f40 20 70 72 6f 67 72 61 6d 20 70 72 6f 64 75 63 65 73 20 74 68 65 20 66 6f 6c 6c 6f 77 69 6e 67 20 .program.produces.the.following.
1a3f60 6f 75 74 70 75 74 3a 0a 3c 50 3e 3c 50 52 45 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 52 4d 53 output:.<P><PRE>.............RMS
1a3f80 20 3d 20 34 2e 38 38 0a 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 31 20 3d 20 35 30 2e 31 39 32 .=.4.88..............C1.=.50.192
1a3fa0 20 2b 2f 2d 20 30 2e 34 33 39 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 32 20 3d 20 2d 32 2e 30 .+/-.0.439.............C2.=.-2.0
1a3fc0 30 32 20 2b 2f 2d 20 30 2e 30 31 35 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 33 20 3d 20 2d 39 02.+/-.0.015.............C3.=.-9
1a3fe0 2e 37 37 31 20 2b 2f 2d 20 30 2e 33 31 30 0a 20 20 20 20 20 20 20 20 20 20 20 20 43 34 20 3d 20 .771.+/-.0.310.............C4.=.
1a4000 32 35 2e 32 37 35 20 2b 2f 2d 20 30 2e 33 31 30 0a 3c 2f 50 52 45 3e 0a 3c 50 3e 0a 49 6e 20 74 25.275.+/-.0.310.</PRE>.<P>.In.t
1a4020 68 69 73 20 61 62 6f 76 65 20 65 78 61 6d 70 6c 65 2c 20 65 73 73 65 6e 74 69 61 6c 6c 79 0a 69 his.above.example,.essentially.i
1a4040 64 65 6e 74 69 63 61 6c 20 72 65 73 75 6c 74 73 20 77 6f 75 6c 64 20 62 65 20 6f 62 74 61 69 6e dentical.results.would.be.obtain
1a4060 65 64 20 69 66 20 74 68 65 20 6d 6f 72 65 0a 63 6f 6d 6d 6f 6e 70 6c 61 63 65 20 6e 6f 72 6d 61 ed.if.the.more.commonplace.norma
1a4080 6c 2d 65 71 75 61 74 69 6f 6e 73 20 6d 65 74 68 6f 64 20 68 61 64 20 62 65 65 6e 20 75 73 65 64 l-equations.method.had.been.used
1a40a0 2c 20 61 6e 64 20 74 68 65 20 6c 61 72 67 65 0a 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 32 22 20 ,.and.the.large.<IMG.WIDTH="72".
1a40c0 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 HEIGHT="25".ALIGN="MIDDLE".BORDE
1a40e0 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 33 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 31 R="0"..SRC="img330.gif"..ALT="$1
1a4100 30 30 30 5c 74 69 6d 65 73 32 30 24 22 3e 20 61 72 72 61 79 20 77 6f 75 6c 64 20 68 61 76 65 20 000\times20$">.array.would.have.
1a4120 62 65 65 6e 20 61 76 6f 69 64 65 64 2e 20 20 48 6f 77 65 76 65 72 2c 20 74 68 65 20 53 56 44 20 been.avoided...However,.the.SVD.
1a4140 6d 65 74 68 6f 64 0a 63 6f 6d 65 73 20 69 6e 74 6f 20 69 74 73 20 6f 77 6e 20 77 68 65 6e 20 74 method.comes.into.its.own.when.t
1a4160 68 65 20 6f 70 70 6f 72 74 75 6e 69 74 79 20 69 73 20 74 61 6b 65 6e 20 74 6f 20 65 64 69 74 20 he.opportunity.is.taken.to.edit.
1a4180 74 68 65 20 57 2d 6d 61 74 72 69 78 0a 28 74 68 65 20 73 6f 2d 63 61 6c 6c 65 64 20 60 60 73 69 the.W-matrix.(the.so-called.``si
1a41a0 6e 67 75 6c 61 72 20 76 61 6c 75 65 73 27 27 29 20 69 6e 20 6f 72 64 65 72 20 74 6f 20 63 6f 6e ngular.values'').in.order.to.con
1a41c0 74 72 6f 6c 0a 70 6f 73 73 69 62 6c 65 20 69 6c 6c 2d 63 6f 6e 64 69 74 69 6f 6e 69 6e 67 2e 20 trol.possible.ill-conditioning..
1a41e0 20 54 68 65 20 70 72 6f 63 65 64 75 72 65 20 69 6e 76 6f 6c 76 65 73 20 72 65 70 6c 61 63 69 6e .The.procedure.involves.replacin
1a4200 67 20 77 69 74 68 0a 7a 65 72 6f 65 73 20 61 6e 79 20 57 2d 65 6c 65 6d 65 6e 74 73 20 73 6d 61 g.with.zeroes.any.W-elements.sma
1a4220 6c 6c 65 72 20 74 68 61 6e 20 61 20 6e 6f 6d 69 6e 61 74 65 64 20 76 61 6c 75 65 2c 20 66 6f 72 ller.than.a.nominated.value,.for
1a4240 20 65 78 61 6d 70 6c 65 0a 30 2e 30 30 31 20 74 69 6d 65 73 20 74 68 65 20 6c 61 72 67 65 73 74 .example.0.001.times.the.largest
1a4260 20 57 2d 65 6c 65 6d 65 6e 74 2e 20 20 53 6d 61 6c 6c 20 57 2d 65 6c 65 6d 65 6e 74 73 20 69 6e .W-element...Small.W-elements.in
1a4280 64 69 63 61 74 65 0a 69 6c 6c 2d 63 6f 6e 64 69 74 69 6f 6e 69 6e 67 2c 20 77 68 69 63 68 20 69 dicate.ill-conditioning,.which.i
1a42a0 6e 20 74 68 65 20 63 61 73 65 20 6f 66 20 74 68 65 20 6e 6f 72 6d 61 6c 2d 65 71 75 61 74 69 6f n.the.case.of.the.normal-equatio
1a42c0 6e 73 0a 6d 65 74 68 6f 64 20 77 6f 75 6c 64 20 70 72 6f 64 75 63 65 20 73 70 75 72 69 6f 75 73 ns.method.would.produce.spurious
1a42e0 20 6c 61 72 67 65 20 63 6f 65 66 66 69 63 69 65 6e 74 20 76 61 6c 75 65 73 20 61 6e 64 0a 70 6f .large.coefficient.values.and.po
1a4300 73 73 69 62 6c 65 20 61 72 69 74 68 6d 65 74 69 63 20 6f 76 65 72 66 6c 6f 77 73 2e 20 20 55 73 ssible.arithmetic.overflows...Us
1a4320 69 6e 67 20 53 56 44 2c 20 74 68 65 20 65 66 66 65 63 74 20 6f 6e 20 74 68 65 20 73 6f 6c 75 74 ing.SVD,.the.effect.on.the.solut
1a4340 69 6f 6e 0a 6f 66 20 73 65 74 74 69 6e 67 20 73 75 73 70 69 63 69 6f 75 73 6c 79 20 73 6d 61 6c ion.of.setting.suspiciously.smal
1a4360 6c 20 57 2d 65 6c 65 6d 65 6e 74 73 20 74 6f 20 7a 65 72 6f 20 69 73 20 74 6f 20 72 65 73 74 72 l.W-elements.to.zero.is.to.restr
1a4380 61 69 6e 0a 74 68 65 20 6f 66 66 65 6e 64 69 6e 67 20 63 6f 65 66 66 69 63 69 65 6e 74 73 20 66 ain.the.offending.coefficients.f
1a43a0 72 6f 6d 20 6d 6f 76 69 6e 67 20 76 65 72 79 20 66 61 72 2e 20 20 54 68 65 0a 66 61 63 74 20 74 rom.moving.very.far...The.fact.t
1a43c0 68 61 74 20 61 63 74 69 6f 6e 20 77 61 73 20 74 61 6b 65 6e 20 63 61 6e 20 62 65 20 72 65 70 6f hat.action.was.taken.can.be.repo
1a43e0 72 74 65 64 20 74 6f 20 73 68 6f 77 20 74 68 65 20 70 72 6f 67 72 61 6d 20 75 73 65 72 20 74 68 rted.to.show.the.program.user.th
1a4400 61 74 0a 73 6f 6d 65 74 68 69 6e 67 20 69 73 20 61 6d 69 73 73 2e 20 20 46 75 72 74 68 65 72 6d at.something.is.amiss...Furtherm
1a4420 6f 72 65 2c 20 69 66 20 65 6c 65 6d 65 6e 74 20 57 28 4a 29 20 77 61 73 20 73 65 74 20 74 6f 20 ore,.if.element.W(J).was.set.to.
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1a59a0 61 72 67 75 6d 65 6e 74 73 20 61 72 65 20 73 69 6e 67 6c 65 20 6f 72 0a 64 6f 75 62 6c 65 20 70 arguments.are.single.or.double.p
1a59c0 72 65 63 69 73 69 6f 6e 3b 20 74 68 65 20 72 65 73 75 6c 74 20 63 6f 75 6c 64 20 62 65 20 61 20 recision;.the.result.could.be.a.
1a59e0 70 72 6f 67 72 61 6d 20 74 68 61 74 20 68 61 70 70 65 6e 73 20 74 6f 0a 77 6f 72 6b 73 20 6f 6e program.that.happens.to.works.on
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1a5a40 44 65 63 6f 64 69 6e 67 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 4c 4c Decoding</BIG></B><UL>.<LI>.CALL
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1a5aa0 61 74 20 73 74 72 69 6e 67 20 69 6e 74 6f 20 69 6e 74 65 67 65 72 0a 3c 4c 49 3e 20 43 41 4c 4c at.string.into.integer.<LI>.CALL
1a5ac0 20 73 6c 61 5f 46 4c 4f 54 49 4e 20 28 53 54 52 49 4e 47 2c 20 4e 53 54 52 54 2c 20 52 45 53 4c .sla_FLOTIN.(STRING,.NSTRT,.RESL
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1a5b20 52 3e 0a 43 6f 6e 76 65 72 74 20 66 72 65 65 2d 66 6f 72 6d 61 74 20 73 74 72 69 6e 67 20 69 6e R>.Convert.free-format.string.in
1a5b40 74 6f 20 66 6c 6f 61 74 69 6e 67 2d 70 6f 69 6e 74 20 6e 75 6d 62 65 72 0a 3c 4c 49 3e 20 43 41 to.floating-point.number.<LI>.CA
1a5b60 4c 4c 20 73 6c 61 5f 41 46 49 4e 20 28 53 54 52 49 4e 47 2c 20 4e 53 54 52 54 2c 20 52 45 53 4c LL.sla_AFIN.(STRING,.NSTRT,.RESL
1a5b80 54 2c 20 4a 46 4c 41 47 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 41 46 49 4e 20 28 53 T,.JFLAG).<BR>.CALL.sla_DAFIN.(S
1a5ba0 54 52 49 4e 47 2c 20 4e 53 54 52 54 2c 20 44 52 45 53 4c 54 2c 20 4a 46 4c 41 47 29 0a 3c 42 52 TRING,.NSTRT,.DRESLT,.JFLAG).<BR
1a5bc0 3e 0a 43 6f 6e 76 65 72 74 20 66 72 65 65 2d 66 6f 72 6d 61 74 20 73 74 72 69 6e 67 20 66 72 6f >.Convert.free-format.string.fro
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1a5c40 73 6c 61 5f 43 54 46 32 44 20 28 49 48 4f 55 52 2c 20 49 4d 49 4e 2c 20 53 45 43 2c 20 44 41 59 sla_CTF2D.(IHOUR,.IMIN,.SEC,.DAY
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1a5ca0 2c 20 6d 69 6e 75 74 65 73 2c 20 73 65 63 6f 6e 64 73 20 74 6f 20 64 61 79 73 0a 3c 4c 49 3e 20 ,.minutes,.seconds.to.days.<LI>.
1a5cc0 43 41 4c 4c 20 73 6c 61 5f 43 44 32 54 46 20 28 4e 44 50 2c 20 44 41 59 53 2c 20 53 49 47 4e 2c CALL.sla_CD2TF.(NDP,.DAYS,.SIGN,
1a5ce0 20 49 48 4d 53 46 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 44 32 54 46 20 28 4e 44 50 .IHMSF).<BR>.CALL.sla_DD2TF.(NDP
1a5d00 2c 20 44 41 59 53 2c 20 53 49 47 4e 2c 20 49 48 4d 53 46 29 0a 3c 42 52 3e 0a 44 61 79 73 20 74 ,.DAYS,.SIGN,.IHMSF).<BR>.Days.t
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1a5d40 41 4c 4c 20 73 6c 61 5f 43 54 46 32 52 20 28 49 48 4f 55 52 2c 20 49 4d 49 4e 2c 20 53 45 43 2c ALL.sla_CTF2R.(IHOUR,.IMIN,.SEC,
1a5d60 20 52 41 44 2c 20 4a 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 54 46 32 52 20 28 49 48 .RAD,.J).<BR>.CALL.sla_DTF2R.(IH
1a5d80 4f 55 52 2c 20 49 4d 49 4e 2c 20 53 45 43 2c 20 52 41 44 2c 20 4a 29 0a 3c 42 52 3e 0a 48 6f 75 OUR,.IMIN,.SEC,.RAD,.J).<BR>.Hou
1a5da0 72 73 2c 20 6d 69 6e 75 74 65 73 2c 20 73 65 63 6f 6e 64 73 20 74 6f 20 72 61 64 69 61 6e 73 0a rs,.minutes,.seconds.to.radians.
1a5dc0 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 52 32 54 46 20 28 4e 44 50 2c 20 41 4e 47 4c 45 2c <LI>.CALL.sla_CR2TF.(NDP,.ANGLE,
1a5de0 20 53 49 47 4e 2c 20 49 48 4d 53 46 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 52 32 54 .SIGN,.IHMSF).<BR>.CALL.sla_DR2T
1a5e00 46 20 28 4e 44 50 2c 20 41 4e 47 4c 45 2c 20 53 49 47 4e 2c 20 49 48 4d 53 46 29 0a 3c 42 52 3e F.(NDP,.ANGLE,.SIGN,.IHMSF).<BR>
1a5e20 0a 52 61 64 69 61 6e 73 20 74 6f 20 68 6f 75 72 73 2c 20 6d 69 6e 75 74 65 73 2c 20 73 65 63 6f .Radians.to.hours,.minutes,.seco
1a5e40 6e 64 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 41 46 32 52 20 28 49 44 45 47 2c 20 49 nds.<LI>.CALL.sla_CAF2R.(IDEG,.I
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1a5e80 61 5f 44 41 46 32 52 20 28 49 44 45 47 2c 20 49 41 4d 49 4e 2c 20 41 53 45 43 2c 20 52 41 44 2c a_DAF2R.(IDEG,.IAMIN,.ASEC,.RAD,
1a5ea0 20 4a 29 0a 3c 42 52 3e 0a 44 65 67 72 65 65 73 2c 20 61 72 63 6d 69 6e 75 74 65 73 2c 20 61 72 .J).<BR>.Degrees,.arcminutes,.ar
1a5ec0 63 73 65 63 6f 6e 64 73 20 74 6f 20 72 61 64 69 61 6e 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c cseconds.to.radians.<LI>.CALL.sl
1a5ee0 61 5f 43 52 32 41 46 20 28 4e 44 50 2c 20 41 4e 47 4c 45 2c 20 53 49 47 4e 2c 20 49 44 4d 53 46 a_CR2AF.(NDP,.ANGLE,.SIGN,.IDMSF
1a5f00 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 52 32 41 46 20 28 4e 44 50 2c 20 41 4e 47 4c ).<BR>.CALL.sla_DR2AF.(NDP,.ANGL
1a5f20 45 2c 20 53 49 47 4e 2c 20 49 44 4d 53 46 29 0a 3c 42 52 3e 0a 52 61 64 69 61 6e 73 20 74 6f 20 E,.SIGN,.IDMSF).<BR>.Radians.to.
1a5f40 64 65 67 72 65 65 73 2c 20 61 72 63 6d 69 6e 75 74 65 73 2c 20 61 72 63 73 65 63 6f 6e 64 73 3c degrees,.arcminutes,.arcseconds<
1a5f60 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 41 6e 67 6c 65 73 2c 20 56 65 63 74 6f 72 73 /UL>.<BR><BIG><B>Angles,.Vectors
1a5f80 20 61 6e 64 20 52 6f 74 61 74 69 6f 6e 20 4d 61 74 72 69 63 65 73 3c 2f 42 49 47 3e 3c 2f 42 3e .and.Rotation.Matrices</BIG></B>
1a5fa0 3c 55 4c 3e 0a 3c 4c 49 3e 20 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 41 4e 47 <UL>.<LI>.R&nbsp;=&nbsp;sla_RANG
1a5fc0 45 20 28 41 4e 47 4c 45 29 0a 3c 42 52 3e 0a 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 E.(ANGLE).<BR>.D&nbsp;=&nbsp;sla
1a5fe0 5f 44 52 41 4e 47 45 20 28 41 4e 47 4c 45 29 0a 3c 42 52 3e 0a 4e 6f 72 6d 61 6c 69 7a 65 20 61 _DRANGE.(ANGLE).<BR>.Normalize.a
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1a6060 6d 20 5c 70 69 24 22 3e 3c 4c 49 3e 20 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 m.\pi$"><LI>.R&nbsp;=&nbsp;sla_R
1a6080 41 4e 4f 52 4d 20 28 41 4e 47 4c 45 29 0a 3c 42 52 3e 0a 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 ANORM.(ANGLE).<BR>.D&nbsp;=&nbsp
1a60a0 3b 73 6c 61 5f 44 52 41 4e 52 4d 20 28 41 4e 47 4c 45 29 0a 3c 42 52 3e 0a 4e 6f 72 6d 61 6c 69 ;sla_DRANRM.(ANGLE).<BR>.Normali
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1a60e0 34 33 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 43".HEIGHT="25".ALIGN="MIDDLE".B
1a6100 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 36 36 2e 67 69 66 22 0a 20 41 4c 54 3d ORDER="0"..SRC="img66.gif"..ALT=
1a6120 22 24 30 5c 21 2d 5c 21 32 5c 70 69 24 22 3e 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 53 32 "$0\!-\!2\pi$"><LI>.CALL.sla_CS2
1a6140 43 20 28 41 2c 20 42 2c 20 56 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 43 53 32 43 20 C.(A,.B,.V).<BR>.CALL.sla_DCS2C.
1a6160 28 41 2c 20 42 2c 20 56 29 0a 3c 42 52 3e 0a 53 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 6e (A,.B,.V).<BR>.Spherical.coordin
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1a61a0 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 29".ALIGN="MIDDLE".BORDER="0"..S
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1a61e0 5d 24 22 3e 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 43 32 53 20 28 56 2c 20 41 2c 20 42 29 ]$"><LI>.CALL.sla_CC2S.(V,.A,.B)
1a6200 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 43 43 32 53 20 28 56 2c 20 41 2c 20 42 29 0a 3c .<BR>.CALL.sla_DCC2S.(V,.A,.B).<
1a6220 42 52 3e 0a 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 35 38 22 20 48 45 49 47 48 54 3d 22 32 BR>....<IMG.WIDTH="58".HEIGHT="2
1a6240 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 9".ALIGN="MIDDLE".BORDER="0"..SR
1a6260 43 3d 22 69 6d 67 35 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 2c 7a 5c 2c 5d C="img50.gif"..ALT="$[\,x,y,z\,]
1a6280 24 22 3e 20 74 6f 20 73 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 3c 4c 49 $">.to.spherical.coordinates.<LI
1a62a0 3e 20 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 56 44 56 20 28 56 41 2c 20 56 42 29 >.R&nbsp;=&nbsp;sla_VDV.(VA,.VB)
1a62c0 0a 3c 42 52 3e 0a 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 44 56 44 56 20 28 56 41 .<BR>.D&nbsp;=&nbsp;sla_DVDV.(VA
1a62e0 2c 20 56 42 29 0a 3c 42 52 3e 0a 53 63 61 6c 61 72 20 70 72 6f 64 75 63 74 20 6f 66 20 74 77 6f ,.VB).<BR>.Scalar.product.of.two
1a6300 20 33 2d 76 65 63 74 6f 72 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 56 58 56 20 28 56 41 .3-vectors.<LI>.CALL.sla_VXV.(VA
1a6320 2c 20 56 42 2c 20 56 43 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 56 58 56 20 28 56 41 ,.VB,.VC).<BR>.CALL.sla_DVXV.(VA
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1a6380 28 56 2c 20 55 56 2c 20 56 4d 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 56 4e 20 28 56 (V,.UV,.VM).<BR>.CALL.sla_DVN.(V
1a63a0 2c 20 55 56 2c 20 56 4d 29 0a 3c 42 52 3e 0a 4e 6f 72 6d 61 6c 69 7a 65 20 61 20 33 2d 76 65 63 ,.UV,.VM).<BR>.Normalize.a.3-vec
1a63c0 74 6f 72 20 61 6c 73 6f 20 67 69 76 69 6e 67 20 74 68 65 20 6d 6f 64 75 6c 75 73 0a 3c 4c 49 3e tor.also.giving.the.modulus.<LI>
1a63e0 20 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 53 45 50 20 28 41 31 2c 20 42 31 2c 20 .R&nbsp;=&nbsp;sla_SEP.(A1,.B1,.
1a6400 41 32 2c 20 42 32 29 0a 3c 42 52 3e 0a 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 44 A2,.B2).<BR>.D&nbsp;=&nbsp;sla_D
1a6420 53 45 50 20 28 41 31 2c 20 42 31 2c 20 41 32 2c 20 42 32 29 0a 3c 42 52 3e 0a 41 6e 67 6c 65 20 SEP.(A1,.B1,.A2,.B2).<BR>.Angle.
1a6440 62 65 74 77 65 65 6e 20 74 77 6f 20 70 6f 69 6e 74 73 20 6f 6e 20 61 20 73 70 68 65 72 65 0a 3c between.two.points.on.a.sphere.<
1a6460 4c 49 3e 20 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 42 45 41 52 20 28 41 31 2c 20 LI>.R&nbsp;=&nbsp;sla_BEAR.(A1,.
1a6480 42 31 2c 20 41 32 2c 20 42 32 29 0a 3c 42 52 3e 0a 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 B1,.A2,.B2).<BR>.D&nbsp;=&nbsp;s
1a64a0 6c 61 5f 44 42 45 41 52 20 28 41 31 2c 20 42 31 2c 20 41 32 2c 20 42 32 29 0a 3c 42 52 3e 0a 44 la_DBEAR.(A1,.B1,.A2,.B2).<BR>.D
1a64c0 69 72 65 63 74 69 6f 6e 20 6f 66 20 6f 6e 65 20 70 6f 69 6e 74 20 6f 6e 20 61 20 73 70 68 65 72 irection.of.one.point.on.a.spher
1a64e0 65 20 73 65 65 6e 20 66 72 6f 6d 20 61 6e 6f 74 68 65 72 0a 3c 4c 49 3e 20 52 26 6e 62 73 70 3b e.seen.from.another.<LI>.R&nbsp;
1a6500 3d 26 6e 62 73 70 3b 73 6c 61 5f 50 41 56 20 28 56 31 2c 20 56 32 29 0a 3c 42 52 3e 0a 44 26 6e =&nbsp;sla_PAV.(V1,.V2).<BR>.D&n
1a6520 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 44 50 41 56 20 28 56 31 2c 20 56 32 29 0a 3c 42 52 bsp;=&nbsp;sla_DPAV.(V1,.V2).<BR
1a6540 3e 0a 50 6f 73 69 74 69 6f 6e 2d 61 6e 67 6c 65 20 6f 66 20 6f 6e 65 20 3c 49 4d 47 20 57 49 44 >.Position-angle.of.one.<IMG.WID
1a6560 54 48 3d 22 35 38 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c TH="58".HEIGHT="29".ALIGN="MIDDL
1a6580 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 30 2e 67 69 66 22 0a 20 E".BORDER="0"..SRC="img50.gif"..
1a65a0 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 2c 7a 5c 2c 5d 24 22 3e 20 77 69 74 68 20 72 65 73 70 65 63 ALT="$[\,x,y,z\,]$">.with.respec
1a65c0 74 20 74 6f 20 61 6e 6f 74 68 65 72 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 55 4c 45 52 t.to.another.<LI>.CALL.sla_EULER
1a65e0 20 28 4f 52 44 45 52 2c 20 50 48 49 2c 20 54 48 45 54 41 2c 20 50 53 49 2c 20 52 4d 41 54 29 0a .(ORDER,.PHI,.THETA,.PSI,.RMAT).
1a6600 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 45 55 4c 45 52 20 28 4f 52 44 45 52 2c 20 50 48 49 <BR>.CALL.sla_DEULER.(ORDER,.PHI
1a6620 2c 20 54 48 45 54 41 2c 20 50 53 49 2c 20 52 4d 41 54 29 0a 3c 42 52 3e 0a 46 6f 72 6d 20 72 6f ,.THETA,.PSI,.RMAT).<BR>.Form.ro
1a6640 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 20 66 72 6f 6d 20 74 68 72 65 65 20 45 75 6c 65 72 20 61 tation.matrix.from.three.Euler.a
1a6660 6e 67 6c 65 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 41 56 32 4d 20 28 41 58 56 45 43 2c ngles.<LI>.CALL.sla_AV2M.(AXVEC,
1a6680 20 52 4d 41 54 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 41 56 32 4d 20 28 41 58 56 45 .RMAT).<BR>.CALL.sla_DAV2M.(AXVE
1a66a0 43 2c 20 52 4d 41 54 29 0a 3c 42 52 3e 0a 46 6f 72 6d 20 72 6f 74 61 74 69 6f 6e 20 6d 61 74 72 C,.RMAT).<BR>.Form.rotation.matr
1a66c0 69 78 20 66 72 6f 6d 20 61 78 69 61 6c 20 76 65 63 74 6f 72 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 ix.from.axial.vector.<LI>.CALL.s
1a66e0 6c 61 5f 4d 32 41 56 20 28 52 4d 41 54 2c 20 41 58 56 45 43 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 la_M2AV.(RMAT,.AXVEC).<BR>.CALL.
1a6700 73 6c 61 5f 44 4d 32 41 56 20 28 52 4d 41 54 2c 20 41 58 56 45 43 29 0a 3c 42 52 3e 0a 44 65 74 sla_DM2AV.(RMAT,.AXVEC).<BR>.Det
1a6720 65 72 6d 69 6e 65 20 61 78 69 61 6c 20 76 65 63 74 6f 72 20 66 72 6f 6d 20 72 6f 74 61 74 69 6f ermine.axial.vector.from.rotatio
1a6740 6e 20 6d 61 74 72 69 78 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4d 58 56 20 28 52 4d 2c 20 n.matrix.<LI>.CALL.sla_MXV.(RM,.
1a6760 56 41 2c 20 56 42 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 4d 58 56 20 28 44 4d 2c 20 VA,.VB).<BR>.CALL.sla_DMXV.(DM,.
1a6780 56 41 2c 20 56 42 29 0a 3c 42 52 3e 0a 52 6f 74 61 74 65 20 76 65 63 74 6f 72 20 66 6f 72 77 61 VA,.VB).<BR>.Rotate.vector.forwa
1a67a0 72 64 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 49 4d 58 56 20 28 52 4d 2c 20 56 41 2c 20 rds.<LI>.CALL.sla_IMXV.(RM,.VA,.
1a67c0 56 42 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 49 4d 58 56 20 28 44 4d 2c 20 56 41 2c VB).<BR>.CALL.sla_DIMXV.(DM,.VA,
1a67e0 20 56 42 29 0a 3c 42 52 3e 0a 52 6f 74 61 74 65 20 76 65 63 74 6f 72 20 62 61 63 6b 77 61 72 64 .VB).<BR>.Rotate.vector.backward
1a6800 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4d 58 4d 20 28 41 2c 20 42 2c 20 43 29 0a 3c 42 s.<LI>.CALL.sla_MXM.(A,.B,.C).<B
1a6820 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 4d 58 4d 20 28 41 2c 20 42 2c 20 43 29 0a 3c 42 52 3e 0a R>.CALL.sla_DMXM.(A,.B,.C).<BR>.
1a6840 50 72 6f 64 75 63 74 20 6f 66 20 74 77 6f 20 33 78 33 20 6d 61 74 72 69 63 65 73 0a 3c 4c 49 3e Product.of.two.3x3.matrices.<LI>
1a6860 20 43 41 4c 4c 20 73 6c 61 5f 43 53 32 43 36 20 28 41 2c 20 42 2c 20 52 2c 20 41 44 2c 20 42 44 .CALL.sla_CS2C6.(A,.B,.R,.AD,.BD
1a6880 2c 20 52 44 2c 20 56 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 53 32 43 36 20 28 41 2c ,.RD,.V).<BR>.CALL.sla_DS2C6.(A,
1a68a0 20 42 2c 20 52 2c 20 41 44 2c 20 42 44 2c 20 52 44 2c 20 56 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 .B,.R,.AD,.BD,.RD,.V).<BR>.Conve
1a68c0 72 73 69 6f 6e 20 6f 66 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 69 rsion.of.position.and.velocity.i
1a68e0 6e 20 73 70 68 65 72 69 63 61 6c 0a 20 20 20 20 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 74 6f 20 n.spherical......coordinates.to.
1a6900 43 61 72 74 65 73 69 61 6e 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 Cartesian.coordinates.<LI>.CALL.
1a6920 73 6c 61 5f 43 43 36 32 53 20 28 56 2c 20 41 2c 20 42 2c 20 52 2c 20 41 44 2c 20 42 44 2c 20 52 sla_CC62S.(V,.A,.B,.R,.AD,.BD,.R
1a6940 44 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 43 36 32 53 20 28 56 2c 20 41 2c 20 42 2c D).<BR>.CALL.sla_DC62S.(V,.A,.B,
1a6960 20 52 2c 20 41 44 2c 20 42 44 2c 20 52 44 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 73 69 6f 6e 20 .R,.AD,.BD,.RD).<BR>.Conversion.
1a6980 6f 66 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 69 6e 20 43 61 72 74 of.position.and.velocity.in.Cart
1a69a0 65 73 69 61 6e 0a 20 20 20 20 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 74 6f 20 73 70 68 65 72 69 esian......coordinates.to.spheri
1a69c0 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 cal.coordinates</UL>.<BR><BIG><B
1a69e0 3e 43 61 6c 65 6e 64 61 72 73 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 >Calendars</BIG></B><UL>.<LI>.CA
1a6a00 4c 4c 20 73 6c 61 5f 43 4c 44 4a 20 28 49 59 2c 20 49 4d 2c 20 49 44 2c 20 44 4a 4d 2c 20 4a 29 LL.sla_CLDJ.(IY,.IM,.ID,.DJM,.J)
1a6a20 0a 3c 42 52 3e 0a 47 72 65 67 6f 72 69 61 6e 20 43 61 6c 65 6e 64 61 72 20 74 6f 20 4d 6f 64 69 .<BR>.Gregorian.Calendar.to.Modi
1a6a40 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 fied.Julian.Date.<LI>.CALL.sla_C
1a6a60 41 4c 44 4a 20 28 49 59 2c 20 49 4d 2c 20 49 44 2c 20 44 4a 4d 2c 20 4a 29 0a 3c 42 52 3e 0a 47 ALDJ.(IY,.IM,.ID,.DJM,.J).<BR>.G
1a6a80 72 65 67 6f 72 69 61 6e 20 43 61 6c 65 6e 64 61 72 20 74 6f 20 4d 6f 64 69 66 69 65 64 20 4a 75 regorian.Calendar.to.Modified.Ju
1a6aa0 6c 69 61 6e 20 44 61 74 65 2c 0a 20 20 20 20 20 70 65 72 6d 69 74 74 69 6e 67 20 63 65 6e 74 75 lian.Date,......permitting.centu
1a6ac0 72 79 20 64 65 66 61 75 6c 74 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 44 4a 43 41 4c 20 28 ry.default.<LI>.CALL.sla_DJCAL.(
1a6ae0 4e 44 50 2c 20 44 4a 4d 2c 20 49 59 4d 44 46 2c 20 4a 29 0a 3c 42 52 3e 0a 4d 6f 64 69 66 69 65 NDP,.DJM,.IYMDF,.J).<BR>.Modifie
1a6b00 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 20 74 6f 20 47 72 65 67 6f 72 69 61 6e 20 43 61 6c 65 6e d.Julian.Date.to.Gregorian.Calen
1a6b20 64 61 72 2c 0a 20 20 20 20 20 69 6e 20 61 20 66 6f 72 6d 20 63 6f 6e 76 65 6e 69 65 6e 74 20 66 dar,......in.a.form.convenient.f
1a6b40 6f 72 20 66 6f 72 6d 61 74 74 65 64 20 6f 75 74 70 75 74 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c or.formatted.output.<LI>.CALL.sl
1a6b60 61 5f 44 4a 43 4c 20 28 44 4a 4d 2c 20 49 59 2c 20 49 4d 2c 20 49 44 2c 20 46 44 2c 20 4a 29 0a a_DJCL.(DJM,.IY,.IM,.ID,.FD,.J).
1a6b80 3c 42 52 3e 0a 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 20 74 6f 20 47 72 65 <BR>.Modified.Julian.Date.to.Gre
1a6ba0 67 6f 72 69 61 6e 20 59 65 61 72 2c 20 4d 6f 6e 74 68 2c 20 44 61 79 2c 20 46 72 61 63 74 69 6f gorian.Year,.Month,.Day,.Fractio
1a6bc0 6e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 41 4c 59 44 20 28 49 59 2c 20 49 4d 2c 20 49 n.<LI>.CALL.sla_CALYD.(IY,.IM,.I
1a6be0 44 2c 20 4e 59 2c 20 4e 44 2c 20 4a 29 0a 3c 42 52 3e 0a 43 61 6c 65 6e 64 61 72 20 74 6f 20 79 D,.NY,.ND,.J).<BR>.Calendar.to.y
1a6c00 65 61 72 20 61 6e 64 20 64 61 79 20 69 6e 20 79 65 61 72 2c 20 70 65 72 6d 69 74 74 69 6e 67 20 ear.and.day.in.year,.permitting.
1a6c20 63 65 6e 74 75 72 79 20 64 65 66 61 75 6c 74 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 4c century.default.<LI>.CALL.sla_CL
1a6c40 59 44 20 28 49 59 2c 20 49 4d 2c 20 49 44 2c 20 4e 59 2c 20 4e 44 2c 20 4a 29 0a 3c 42 52 3e 0a YD.(IY,.IM,.ID,.NY,.ND,.J).<BR>.
1a6c60 43 61 6c 65 6e 64 61 72 20 74 6f 20 79 65 61 72 20 61 6e 64 20 64 61 79 20 69 6e 20 79 65 61 72 Calendar.to.year.and.day.in.year
1a6c80 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 45 50 42 20 28 44 41 54 .<LI>.D&nbsp;=&nbsp;sla_EPB.(DAT
1a6ca0 45 29 0a 3c 42 52 3e 0a 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 20 74 6f 20 E).<BR>.Modified.Julian.Date.to.
1a6cc0 42 65 73 73 65 6c 69 61 6e 20 45 70 6f 63 68 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 Besselian.Epoch.<LI>.D&nbsp;=&nb
1a6ce0 73 70 3b 73 6c 61 5f 45 50 42 32 44 20 28 45 50 42 29 0a 3c 42 52 3e 0a 42 65 73 73 65 6c 69 61 sp;sla_EPB2D.(EPB).<BR>.Besselia
1a6d00 6e 20 45 70 6f 63 68 20 74 6f 20 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 0a n.Epoch.to.Modified.Julian.Date.
1a6d20 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 45 50 4a 20 28 44 41 54 45 <LI>.D&nbsp;=&nbsp;sla_EPJ.(DATE
1a6d40 29 0a 3c 42 52 3e 0a 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 20 74 6f 20 4a ).<BR>.Modified.Julian.Date.to.J
1a6d60 75 6c 69 61 6e 20 45 70 6f 63 68 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 ulian.Epoch.<LI>.D&nbsp;=&nbsp;s
1a6d80 6c 61 5f 45 50 4a 32 44 20 28 45 50 4a 29 0a 3c 42 52 3e 0a 4a 75 6c 69 61 6e 20 45 70 6f 63 68 la_EPJ2D.(EPJ).<BR>.Julian.Epoch
1a6da0 20 74 6f 20 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 3c 2f 55 4c 3e 0a 3c 42 .to.Modified.Julian.Date</UL>.<B
1a6dc0 52 3e 3c 42 49 47 3e 3c 42 3e 54 69 6d 65 73 63 61 6c 65 73 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 R><BIG><B>Timescales</BIG></B><U
1a6de0 4c 3e 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 47 4d 53 54 20 28 L>.<LI>.D&nbsp;=&nbsp;sla_GMST.(
1a6e00 55 54 31 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 73 69 6f 6e 20 66 72 6f 6d 20 55 6e 69 76 65 72 UT1).<BR>.Conversion.from.Univer
1a6e20 73 61 6c 20 54 69 6d 65 20 74 6f 20 73 69 64 65 72 65 61 6c 20 74 69 6d 65 0a 3c 4c 49 3e 20 44 sal.Time.to.sidereal.time.<LI>.D
1a6e40 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 47 4d 53 54 41 20 28 44 41 54 45 2c 20 55 54 &nbsp;=&nbsp;sla_GMSTA.(DATE,.UT
1a6e60 31 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 73 69 6f 6e 20 66 72 6f 6d 20 55 6e 69 76 65 72 73 61 1).<BR>.Conversion.from.Universa
1a6e80 6c 20 54 69 6d 65 20 74 6f 20 73 69 64 65 72 65 61 6c 20 74 69 6d 65 2c 20 72 6f 75 6e 64 69 6e l.Time.to.sidereal.time,.roundin
1a6ea0 67 20 65 72 72 6f 72 73 20 6d 69 6e 69 6d 69 7a 65 64 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d g.errors.minimized.<LI>.D&nbsp;=
1a6ec0 26 6e 62 73 70 3b 73 6c 61 5f 45 51 45 51 58 20 28 44 41 54 45 29 0a 3c 42 52 3e 0a 45 71 75 61 &nbsp;sla_EQEQX.(DATE).<BR>.Equa
1a6ee0 74 69 6f 6e 20 6f 66 20 74 68 65 20 65 71 75 69 6e 6f 78 65 73 0a 3c 4c 49 3e 20 44 26 6e 62 73 tion.of.the.equinoxes.<LI>.D&nbs
1a6f00 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 44 41 54 20 28 44 4a 55 29 0a 3c 42 52 3e 0a 4f 66 66 73 p;=&nbsp;sla_DAT.(DJU).<BR>.Offs
1a6f20 65 74 20 6f 66 20 41 74 6f 6d 69 63 20 54 69 6d 65 20 66 72 6f 6d 20 43 6f 6f 72 64 69 6e 61 74 et.of.Atomic.Time.from.Coordinat
1a6f40 65 64 20 55 6e 69 76 65 72 73 61 6c 20 54 69 6d 65 3a 20 54 41 49 2d 55 54 43 0a 3c 4c 49 3e 20 ed.Universal.Time:.TAI-UTC.<LI>.
1a6f60 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 44 54 20 28 45 50 4f 43 48 29 0a 3c 42 52 D&nbsp;=&nbsp;sla_DT.(EPOCH).<BR
1a6f80 3e 0a 41 70 70 72 6f 78 69 6d 61 74 65 20 6f 66 66 73 65 74 20 62 65 74 77 65 65 6e 20 64 79 6e >.Approximate.offset.between.dyn
1a6fa0 61 6d 69 63 61 6c 20 74 69 6d 65 20 61 6e 64 20 75 6e 69 76 65 72 73 61 6c 20 74 69 6d 65 0a 3c amical.time.and.universal.time.<
1a6fc0 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 44 54 54 20 28 44 4a 55 29 0a LI>.D&nbsp;=&nbsp;sla_DTT.(DJU).
1a6fe0 3c 42 52 3e 0a 4f 66 66 73 65 74 20 6f 66 20 54 65 72 72 65 73 74 72 69 61 6c 20 54 69 6d 65 20 <BR>.Offset.of.Terrestrial.Time.
1a7000 66 72 6f 6d 20 43 6f 6f 72 64 69 6e 61 74 65 64 20 55 6e 69 76 65 72 73 61 6c 20 54 69 6d 65 3a from.Coordinated.Universal.Time:
1a7020 20 54 54 2d 55 54 43 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 .TT-UTC.<LI>.D&nbsp;=&nbsp;sla_R
1a7040 43 43 20 28 54 44 42 2c 20 55 54 31 2c 20 57 4c 2c 20 55 2c 20 56 29 0a 3c 42 52 3e 0a 52 65 6c CC.(TDB,.UT1,.WL,.U,.V).<BR>.Rel
1a7060 61 74 69 76 69 73 74 69 63 20 63 6c 6f 63 6b 20 63 6f 72 72 65 63 74 69 6f 6e 3a 20 54 44 42 2d ativistic.clock.correction:.TDB-
1a7080 54 54 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 50 72 65 63 65 73 73 69 6f 6e 20 61 TT</UL>.<BR><BIG><B>Precession.a
1a70a0 6e 64 20 4e 75 74 61 74 69 6f 6e 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 nd.Nutation</BIG></B><UL>.<LI>.C
1a70c0 41 4c 4c 20 73 6c 61 5f 4e 55 54 20 28 44 41 54 45 2c 20 52 4d 41 54 4e 29 0a 3c 42 52 3e 0a 4e ALL.sla_NUT.(DATE,.RMATN).<BR>.N
1a70e0 75 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4e 55 54 utation.matrix.<LI>.CALL.sla_NUT
1a7100 43 20 28 44 41 54 45 2c 20 44 50 53 49 2c 20 44 45 50 53 2c 20 45 50 53 30 29 0a 3c 42 52 3e 0a C.(DATE,.DPSI,.DEPS,.EPS0).<BR>.
1a7120 4c 6f 6e 67 69 74 75 64 65 20 61 6e 64 20 6f 62 6c 69 71 75 69 74 79 20 63 6f 6d 70 6f 6e 65 6e Longitude.and.obliquity.componen
1a7140 74 73 20 6f 66 20 6e 75 74 61 74 69 6f 6e 2c 20 61 6e 64 0a 20 20 20 20 20 6d 65 61 6e 20 6f 62 ts.of.nutation,.and......mean.ob
1a7160 6c 69 71 75 69 74 79 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 52 45 43 20 28 45 50 30 2c liquity.<LI>.CALL.sla_PREC.(EP0,
1a7180 20 45 50 31 2c 20 52 4d 41 54 50 29 0a 3c 42 52 3e 0a 50 72 65 63 65 73 73 69 6f 6e 20 6d 61 74 .EP1,.RMATP).<BR>.Precession.mat
1a71a0 72 69 78 20 28 49 41 55 29 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 52 45 43 4c 20 28 45 rix.(IAU).<LI>.CALL.sla_PRECL.(E
1a71c0 50 30 2c 20 45 50 31 2c 20 52 4d 41 54 50 29 0a 3c 42 52 3e 0a 50 72 65 63 65 73 73 69 6f 6e 20 P0,.EP1,.RMATP).<BR>.Precession.
1a71e0 6d 61 74 72 69 78 20 28 73 75 69 74 61 62 6c 65 20 66 6f 72 20 6c 6f 6e 67 20 70 65 72 69 6f 64 matrix.(suitable.for.long.period
1a7200 73 29 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 52 45 4e 55 54 20 28 45 50 4f 43 48 2c 20 s).<LI>.CALL.sla_PRENUT.(EPOCH,.
1a7220 44 41 54 45 2c 20 52 4d 41 54 50 4e 29 0a 3c 42 52 3e 0a 43 6f 6d 62 69 6e 65 64 20 70 72 65 63 DATE,.RMATPN).<BR>.Combined.prec
1a7240 65 73 73 69 6f 6e 2f 6e 75 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 0a 3c 4c 49 3e 20 43 41 4c 4c ession/nutation.matrix.<LI>.CALL
1a7260 20 73 6c 61 5f 50 52 45 42 4e 20 28 42 45 50 30 2c 20 42 45 50 31 2c 20 52 4d 41 54 50 29 0a 3c .sla_PREBN.(BEP0,.BEP1,.RMATP).<
1a7280 42 52 3e 0a 50 72 65 63 65 73 73 69 6f 6e 20 6d 61 74 72 69 78 2c 20 6f 6c 64 20 73 79 73 74 65 BR>.Precession.matrix,.old.syste
1a72a0 6d 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 52 45 43 45 53 20 28 53 59 53 54 45 4d 2c 20 m.<LI>.CALL.sla_PRECES.(SYSTEM,.
1a72c0 45 50 30 2c 20 45 50 31 2c 20 52 41 2c 20 44 43 29 0a 3c 42 52 3e 0a 50 72 65 63 65 73 73 69 6f EP0,.EP1,.RA,.DC).<BR>.Precessio
1a72e0 6e 2c 20 69 6e 20 65 69 74 68 65 72 20 74 68 65 20 6f 6c 64 20 6f 72 20 74 68 65 20 6e 65 77 20 n,.in.either.the.old.or.the.new.
1a7300 73 79 73 74 65 6d 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 50 72 6f 70 65 72 20 4d system</UL>.<BR><BIG><B>Proper.M
1a7320 6f 74 69 6f 6e 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c otion</BIG></B><UL>.<LI>.CALL.sl
1a7340 61 5f 50 4d 20 28 52 30 2c 20 44 30 2c 20 50 52 2c 20 50 44 2c 20 50 58 2c 20 52 56 2c 20 45 50 a_PM.(R0,.D0,.PR,.PD,.PX,.RV,.EP
1a7360 30 2c 20 45 50 31 2c 20 52 31 2c 20 44 31 29 0a 3c 42 52 3e 0a 41 64 6a 75 73 74 20 66 6f 72 20 0,.EP1,.R1,.D1).<BR>.Adjust.for.
1a7380 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 46 proper.motion</UL>.<BR><BIG><B>F
1a73a0 4b 34 2f 46 4b 35 2f 48 69 70 70 61 72 63 6f 73 20 43 6f 6e 76 65 72 73 69 6f 6e 73 3c 2f 42 49 K4/FK5/Hipparcos.Conversions</BI
1a73c0 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 46 4b 34 32 35 20 28 G></B><UL>.<LI>.CALL.sla_FK425.(
1a73e0 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 52 31 39 35 30 2c 20 44 ........................R1950,.D
1a7400 31 39 35 30 2c 20 44 52 31 39 35 30 2c 20 44 44 31 39 35 30 2c 20 50 31 39 35 30 2c 20 56 31 39 1950,.DR1950,.DD1950,.P1950,.V19
1a7420 35 30 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 52 32 30 30 50,.........................R200
1a7440 30 2c 20 44 32 30 30 30 2c 20 44 52 32 30 30 30 2c 20 44 44 32 30 30 30 2c 20 50 32 30 30 30 2c 0,.D2000,.DR2000,.DD2000,.P2000,
1a7460 20 56 32 30 30 30 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 74 20 42 31 39 35 30 2e 30 20 46 4b 34 .V2000).<BR>.Convert.B1950.0.FK4
1a7480 20 73 74 61 72 20 64 61 74 61 20 74 6f 20 4a 32 30 30 30 2e 30 20 46 4b 35 0a 3c 4c 49 3e 20 43 .star.data.to.J2000.0.FK5.<LI>.C
1a74a0 41 4c 4c 20 73 6c 61 5f 46 4b 34 35 5a 20 28 52 31 39 35 30 2c 20 44 31 39 35 30 2c 20 45 50 4f ALL.sla_FK45Z.(R1950,.D1950,.EPO
1a74c0 43 48 2c 20 52 32 30 30 30 2c 20 44 32 30 30 30 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 74 20 42 CH,.R2000,.D2000).<BR>.Convert.B
1a74e0 31 39 35 30 2e 30 20 46 4b 34 20 70 6f 73 69 74 69 6f 6e 20 74 6f 20 4a 32 30 30 30 2e 30 20 46 1950.0.FK4.position.to.J2000.0.F
1a7500 4b 35 20 61 73 73 75 6d 69 6e 67 20 7a 65 72 6f 0a 20 20 20 46 4b 35 20 70 72 6f 70 65 72 20 6d K5.assuming.zero....FK5.proper.m
1a7520 6f 74 69 6f 6e 20 61 6e 64 20 6e 6f 20 70 61 72 61 6c 6c 61 78 0a 3c 4c 49 3e 20 43 41 4c 4c 20 otion.and.no.parallax.<LI>.CALL.
1a7540 73 6c 61 5f 46 4b 35 32 34 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 sla_FK524.(.....................
1a7560 20 20 20 52 32 30 30 30 2c 20 44 32 30 30 30 2c 20 44 52 32 30 30 30 2c 20 44 44 32 30 30 30 2c ...R2000,.D2000,.DR2000,.DD2000,
1a7580 20 50 32 30 30 30 2c 20 56 32 30 30 30 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .P2000,.V2000,..................
1a75a0 20 20 20 20 20 20 20 52 31 39 35 30 2c 20 44 31 39 35 30 2c 20 44 52 31 39 35 30 2c 20 44 44 31 .......R1950,.D1950,.DR1950,.DD1
1a75c0 39 35 30 2c 20 50 31 39 35 30 2c 20 56 31 39 35 30 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 74 20 950,.P1950,.V1950).<BR>.Convert.
1a75e0 4a 32 30 30 30 2e 30 20 46 4b 35 20 73 74 61 72 20 64 61 74 61 20 74 6f 20 42 31 39 35 30 2e 30 J2000.0.FK5.star.data.to.B1950.0
1a7600 20 46 4b 34 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 46 4b 35 34 5a 20 28 52 32 30 30 30 2c .FK4.<LI>.CALL.sla_FK54Z.(R2000,
1a7620 20 44 32 30 30 30 2c 20 42 45 50 4f 43 48 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 52 .D2000,.BEPOCH,................R
1a7640 31 39 35 30 2c 20 44 31 39 35 30 2c 20 44 52 31 39 35 30 2c 20 44 44 31 39 35 30 29 0a 3c 42 52 1950,.D1950,.DR1950,.DD1950).<BR
1a7660 3e 0a 43 6f 6e 76 65 72 74 20 4a 32 30 30 30 2e 30 20 46 4b 35 20 70 6f 73 69 74 69 6f 6e 20 74 >.Convert.J2000.0.FK5.position.t
1a7680 6f 20 42 31 39 35 30 2e 30 20 46 4b 34 20 61 73 73 75 6d 69 6e 67 20 7a 65 72 6f 0a 20 20 20 46 o.B1950.0.FK4.assuming.zero....F
1a76a0 4b 35 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 20 61 6e 64 20 6e 6f 20 70 61 72 61 6c 6c 61 78 K5.proper.motion.and.no.parallax
1a76c0 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 46 4b 35 32 48 20 28 52 35 2c 20 44 35 2c 20 44 52 .<LI>.CALL.sla_FK52H.(R5,.D5,.DR
1a76e0 35 2c 20 44 44 35 2c 20 52 48 2c 20 44 48 2c 20 44 52 48 2c 20 44 44 48 29 0a 3c 42 52 3e 0a 43 5,.DD5,.RH,.DH,.DRH,.DDH).<BR>.C
1a7700 6f 6e 76 65 72 74 20 4a 32 30 30 30 2e 30 20 46 4b 35 20 73 74 61 72 20 64 61 74 61 20 74 6f 20 onvert.J2000.0.FK5.star.data.to.
1a7720 48 69 70 70 61 72 63 6f 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 46 4b 35 48 5a 20 28 52 Hipparcos.<LI>.CALL.sla_FK5HZ.(R
1a7740 35 2c 20 44 35 2c 20 45 50 4f 43 48 2c 20 52 48 2c 20 44 48 20 29 0a 3c 42 52 3e 0a 43 6f 6e 76 5,.D5,.EPOCH,.RH,.DH.).<BR>.Conv
1a7760 65 72 74 20 4a 32 30 30 30 2e 30 20 46 4b 35 20 70 6f 73 69 74 69 6f 6e 20 74 6f 20 48 69 70 70 ert.J2000.0.FK5.position.to.Hipp
1a7780 61 72 63 6f 73 20 61 73 73 75 6d 69 6e 67 20 7a 65 72 6f 20 48 69 70 70 61 72 63 6f 73 0a 20 20 arcos.assuming.zero.Hipparcos...
1a77a0 20 70 72 6f 70 65 72 20 6d 6f 74 69 6f 6e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 48 32 46 .proper.motion.<LI>.CALL.sla_H2F
1a77c0 4b 35 20 28 52 48 2c 20 44 48 2c 20 44 52 48 2c 20 44 44 48 2c 20 52 35 2c 20 44 35 2c 20 44 52 K5.(RH,.DH,.DRH,.DDH,.R5,.D5,.DR
1a77e0 35 2c 20 44 44 35 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 74 20 48 69 70 70 61 72 63 6f 73 20 73 5,.DD5).<BR>.Convert.Hipparcos.s
1a7800 74 61 72 20 64 61 74 61 20 74 6f 20 4a 32 30 30 30 2e 30 20 46 4b 35 0a 3c 4c 49 3e 20 43 41 4c tar.data.to.J2000.0.FK5.<LI>.CAL
1a7820 4c 20 73 6c 61 5f 48 46 4b 35 5a 20 28 52 48 2c 20 44 48 2c 20 45 50 4f 43 48 2c 20 52 35 2c 20 L.sla_HFK5Z.(RH,.DH,.EPOCH,.R5,.
1a7840 44 35 2c 20 44 52 35 2c 20 44 44 35 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 74 20 48 69 70 70 61 D5,.DR5,.DD5).<BR>.Convert.Hippa
1a7860 72 63 6f 73 20 70 6f 73 69 74 69 6f 6e 20 74 6f 20 4a 32 30 30 30 2e 30 20 46 4b 35 20 61 73 73 rcos.position.to.J2000.0.FK5.ass
1a7880 75 6d 69 6e 67 20 7a 65 72 6f 20 48 69 70 70 61 72 63 6f 73 0a 20 20 20 70 72 6f 70 65 72 20 6d uming.zero.Hipparcos....proper.m
1a78a0 6f 74 69 6f 6e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 44 42 4a 49 4e 20 28 53 54 52 49 4e otion.<LI>.CALL.sla_DBJIN.(STRIN
1a78c0 47 2c 20 4e 53 54 52 54 2c 20 44 52 45 53 4c 54 2c 20 4a 31 2c 20 4a 32 29 0a 3c 42 52 3e 0a 4c G,.NSTRT,.DRESLT,.J1,.J2).<BR>.L
1a78e0 69 6b 65 20 73 6c 61 5f 44 46 4c 54 49 4e 20 62 75 74 20 77 69 74 68 20 65 78 74 65 6e 73 69 6f ike.sla_DFLTIN.but.with.extensio
1a7900 6e 73 20 74 6f 20 61 63 63 65 70 74 20 6c 65 61 64 69 6e 67 20 60 42 27 20 61 6e 64 20 60 4a 27 ns.to.accept.leading.`B'.and.`J'
1a7920 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4b 42 4a 20 28 4a 42 2c 20 45 2c 20 4b 2c 20 4a 29 .<LI>.CALL.sla_KBJ.(JB,.E,.K,.J)
1a7940 0a 3c 42 52 3e 0a 53 65 6c 65 63 74 20 65 70 6f 63 68 20 70 72 65 66 69 78 20 60 42 27 20 6f 72 .<BR>.Select.epoch.prefix.`B'.or
1a7960 20 60 4a 27 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 45 50 43 4f .`J'.<LI>.D&nbsp;=&nbsp;sla_EPCO
1a7980 20 28 4b 30 2c 20 4b 2c 20 45 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 74 20 61 6e 20 65 70 6f 63 .(K0,.K,.E).<BR>.Convert.an.epoc
1a79a0 68 20 69 6e 74 6f 20 74 68 65 20 61 70 70 72 6f 70 72 69 61 74 65 20 66 6f 72 6d 20 2d 20 60 42 h.into.the.appropriate.form.-.`B
1a79c0 27 20 6f 72 20 60 4a 27 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 45 6c 6c 69 70 74 '.or.`J'</UL>.<BR><BIG><B>Ellipt
1a79e0 69 63 20 41 62 65 72 72 61 74 69 6f 6e 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e ic.Aberration</BIG></B><UL>.<LI>
1a7a00 20 43 41 4c 4c 20 73 6c 61 5f 45 54 52 4d 53 20 28 45 50 2c 20 45 56 29 0a 3c 42 52 3e 0a 45 2d .CALL.sla_ETRMS.(EP,.EV).<BR>.E-
1a7a20 74 65 72 6d 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 53 55 42 45 54 20 28 52 43 2c 20 44 terms.<LI>.CALL.sla_SUBET.(RC,.D
1a7a40 43 2c 20 45 51 2c 20 52 4d 2c 20 44 4d 29 0a 3c 42 52 3e 0a 52 65 6d 6f 76 65 20 74 68 65 20 45 C,.EQ,.RM,.DM).<BR>.Remove.the.E
1a7a60 2d 74 65 72 6d 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 41 44 44 45 54 20 28 52 4d 2c 20 -terms.<LI>.CALL.sla_ADDET.(RM,.
1a7a80 44 4d 2c 20 45 51 2c 20 52 43 2c 20 44 43 29 0a 3c 42 52 3e 0a 41 64 64 20 74 68 65 20 45 2d 74 DM,.EQ,.RC,.DC).<BR>.Add.the.E-t
1a7aa0 65 72 6d 73 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 47 65 6f 67 72 61 70 68 69 63 erms</UL>.<BR><BIG><B>Geographic
1a7ac0 61 6c 20 61 6e 64 20 47 65 6f 63 65 6e 74 72 69 63 20 43 6f 6f 72 64 69 6e 61 74 65 73 3c 2f 42 al.and.Geocentric.Coordinates</B
1a7ae0 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4f 42 53 20 28 4e IG></B><UL>.<LI>.CALL.sla_OBS.(N
1a7b00 55 4d 42 45 52 2c 20 49 44 2c 20 4e 41 4d 45 2c 20 57 4c 4f 4e 47 2c 20 50 48 49 2c 20 48 45 49 UMBER,.ID,.NAME,.WLONG,.PHI,.HEI
1a7b20 47 48 54 29 0a 3c 42 52 3e 0a 49 6e 74 65 72 72 6f 67 61 74 65 20 6c 69 73 74 20 6f 66 20 6f 62 GHT).<BR>.Interrogate.list.of.ob
1a7b40 73 65 72 76 61 74 6f 72 79 20 70 61 72 61 6d 65 74 65 72 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 servatory.parameters.<LI>.CALL.s
1a7b60 6c 61 5f 47 45 4f 43 20 28 50 2c 20 48 2c 20 52 2c 20 5a 29 0a 3c 42 52 3e 0a 43 6f 6e 76 65 72 la_GEOC.(P,.H,.R,.Z).<BR>.Conver
1a7b80 74 20 67 65 6f 64 65 74 69 63 20 70 6f 73 69 74 69 6f 6e 20 74 6f 20 67 65 6f 63 65 6e 74 72 69 t.geodetic.position.to.geocentri
1a7ba0 63 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 4f 4c 4d 4f 20 28 45 4c 4f 4e 47 4d 2c 20 50 c.<LI>.CALL.sla_POLMO.(ELONGM,.P
1a7bc0 48 49 4d 2c 20 58 50 2c 20 59 50 2c 20 45 4c 4f 4e 47 2c 20 50 48 49 2c 20 44 41 5a 29 0a 3c 42 HIM,.XP,.YP,.ELONG,.PHI,.DAZ).<B
1a7be0 52 3e 0a 50 6f 6c 61 72 20 6d 6f 74 69 6f 6e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 56 R>.Polar.motion.<LI>.CALL.sla_PV
1a7c00 4f 42 53 20 28 50 2c 20 48 2c 20 53 54 4c 2c 20 50 56 29 0a 3c 42 52 3e 0a 50 6f 73 69 74 69 6f OBS.(P,.H,.STL,.PV).<BR>.Positio
1a7c20 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 6f 66 20 6f 62 73 65 72 76 61 74 6f 72 79 3c 2f 55 n.and.velocity.of.observatory</U
1a7c40 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 41 70 70 61 72 65 6e 74 20 61 6e 64 20 4f 62 73 65 L>.<BR><BIG><B>Apparent.and.Obse
1a7c60 72 76 65 64 20 50 6c 61 63 65 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 rved.Place</BIG></B><UL>.<LI>.CA
1a7c80 4c 4c 20 73 6c 61 5f 4d 41 50 20 28 52 4d 2c 20 44 4d 2c 20 50 52 2c 20 50 44 2c 20 50 58 2c 20 LL.sla_MAP.(RM,.DM,.PR,.PD,.PX,.
1a7ca0 52 56 2c 20 45 51 2c 20 44 41 54 45 2c 20 52 41 2c 20 44 41 29 0a 3c 42 52 3e 0a 4d 65 61 6e 20 RV,.EQ,.DATE,.RA,.DA).<BR>.Mean.
1a7cc0 70 6c 61 63 65 20 74 6f 20 67 65 6f 63 65 6e 74 72 69 63 20 61 70 70 61 72 65 6e 74 20 70 6c 61 place.to.geocentric.apparent.pla
1a7ce0 63 65 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4d 41 50 50 41 20 28 45 51 2c 20 44 41 54 45 ce.<LI>.CALL.sla_MAPPA.(EQ,.DATE
1a7d00 2c 20 41 4d 50 52 4d 53 29 0a 3c 42 52 3e 0a 50 72 65 63 6f 6d 70 75 74 65 20 6d 65 61 6e 20 74 ,.AMPRMS).<BR>.Precompute.mean.t
1a7d20 6f 20 61 70 70 61 72 65 6e 74 20 70 61 72 61 6d 65 74 65 72 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 o.apparent.parameters.<LI>.CALL.
1a7d40 73 6c 61 5f 4d 41 50 51 4b 20 28 52 4d 2c 20 44 4d 2c 20 50 52 2c 20 50 44 2c 20 50 58 2c 20 52 sla_MAPQK.(RM,.DM,.PR,.PD,.PX,.R
1a7d60 56 2c 20 41 4d 50 52 4d 53 2c 20 52 41 2c 20 44 41 29 0a 3c 42 52 3e 0a 4d 65 61 6e 20 74 6f 20 V,.AMPRMS,.RA,.DA).<BR>.Mean.to.
1a7d80 61 70 70 61 72 65 6e 74 20 75 73 69 6e 67 20 70 72 65 63 6f 6d 70 75 74 65 64 20 70 61 72 61 6d apparent.using.precomputed.param
1a7da0 65 74 65 72 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4d 41 50 51 4b 5a 20 28 52 4d 2c 20 eters.<LI>.CALL.sla_MAPQKZ.(RM,.
1a7dc0 44 4d 2c 20 41 4d 50 52 4d 53 2c 20 52 41 2c 20 44 41 29 0a 3c 42 52 3e 0a 4d 65 61 6e 20 74 6f DM,.AMPRMS,.RA,.DA).<BR>.Mean.to
1a7de0 20 61 70 70 61 72 65 6e 74 20 75 73 69 6e 67 20 70 72 65 63 6f 6d 70 75 74 65 64 20 70 61 72 61 .apparent.using.precomputed.para
1a7e00 6d 65 74 65 72 73 2c 20 66 6f 72 20 7a 65 72 6f 20 70 72 6f 70 65 72 0a 20 20 20 20 20 6d 6f 74 meters,.for.zero.proper......mot
1a7e20 69 6f 6e 2c 20 70 61 72 61 6c 6c 61 78 20 61 6e 64 20 72 61 64 69 61 6c 20 76 65 6c 6f 63 69 74 ion,.parallax.and.radial.velocit
1a7e40 79 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 41 4d 50 20 28 52 41 2c 20 44 41 2c 20 44 41 54 y.<LI>.CALL.sla_AMP.(RA,.DA,.DAT
1a7e60 45 2c 20 45 51 2c 20 52 4d 2c 20 44 4d 29 0a 3c 42 52 3e 0a 47 65 6f 63 65 6e 74 72 69 63 20 61 E,.EQ,.RM,.DM).<BR>.Geocentric.a
1a7e80 70 70 61 72 65 6e 74 20 70 6c 61 63 65 20 74 6f 20 6d 65 61 6e 20 70 6c 61 63 65 0a 3c 4c 49 3e pparent.place.to.mean.place.<LI>
1a7ea0 20 43 41 4c 4c 20 73 6c 61 5f 41 4d 50 51 4b 20 28 52 41 2c 20 44 41 2c 20 41 4f 50 52 4d 53 2c .CALL.sla_AMPQK.(RA,.DA,.AOPRMS,
1a7ec0 20 52 4d 2c 20 44 4d 29 0a 3c 42 52 3e 0a 41 70 70 61 72 65 6e 74 20 74 6f 20 6d 65 61 6e 20 75 .RM,.DM).<BR>.Apparent.to.mean.u
1a7ee0 73 69 6e 67 20 70 72 65 63 6f 6d 70 75 74 65 64 20 70 61 72 61 6d 65 74 65 72 73 0a 3c 4c 49 3e sing.precomputed.parameters.<LI>
1a7f00 20 43 41 4c 4c 20 73 6c 61 5f 41 4f 50 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .CALL.sla_AOP.(.................
1a7f20 20 20 20 20 20 20 52 41 50 2c 20 44 41 50 2c 20 55 54 43 2c 20 44 55 54 2c 20 45 4c 4f 4e 47 4d ......RAP,.DAP,.UTC,.DUT,.ELONGM
1a7f40 2c 20 50 48 49 4d 2c 20 48 4d 2c 20 58 50 2c 20 59 50 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 ,.PHIM,.HM,.XP,.YP,.............
1a7f60 20 20 20 20 20 20 20 20 20 20 20 54 44 4b 2c 20 50 4d 42 2c 20 52 48 2c 20 57 4c 2c 20 54 4c 52 ...........TDK,.PMB,.RH,.WL,.TLR
1a7f80 2c 20 41 4f 42 2c 20 5a 4f 42 2c 20 48 4f 42 2c 20 44 4f 42 2c 20 52 4f 42 29 0a 3c 42 52 3e 0a ,.AOB,.ZOB,.HOB,.DOB,.ROB).<BR>.
1a7fa0 41 70 70 61 72 65 6e 74 20 70 6c 61 63 65 20 74 6f 20 6f 62 73 65 72 76 65 64 20 70 6c 61 63 65 Apparent.place.to.observed.place
1a7fc0 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 41 4f 50 50 41 20 28 0a 20 20 20 20 20 20 20 20 20 .<LI>.CALL.sla_AOPPA.(..........
1a7fe0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 55 54 43 2c 20 44 55 54 2c 20 45 4c 4f 4e 47 4d 2c ...............UTC,.DUT,.ELONGM,
1a8000 20 50 48 49 4d 2c 20 48 4d 2c 20 58 50 2c 20 59 50 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 .PHIM,.HM,.XP,.YP,..............
1a8020 20 20 20 20 20 20 20 20 20 20 20 20 54 44 4b 2c 20 50 4d 42 2c 20 52 48 2c 20 57 4c 2c 20 54 4c ............TDK,.PMB,.RH,.WL,.TL
1a8040 52 2c 20 41 4f 50 52 4d 53 29 0a 3c 42 52 3e 0a 50 72 65 63 6f 6d 70 75 74 65 20 61 70 70 61 72 R,.AOPRMS).<BR>.Precompute.appar
1a8060 65 6e 74 20 74 6f 20 6f 62 73 65 72 76 65 64 20 70 61 72 61 6d 65 74 65 72 73 0a 3c 4c 49 3e 20 ent.to.observed.parameters.<LI>.
1a8080 43 41 4c 4c 20 73 6c 61 5f 41 4f 50 50 41 54 20 28 55 54 43 2c 20 41 4f 50 52 4d 53 29 0a 3c 42 CALL.sla_AOPPAT.(UTC,.AOPRMS).<B
1a80a0 52 3e 0a 55 70 64 61 74 65 20 73 69 64 65 72 65 61 6c 20 74 69 6d 65 20 69 6e 20 61 70 70 61 72 R>.Update.sidereal.time.in.appar
1a80c0 65 6e 74 20 74 6f 20 6f 62 73 65 72 76 65 64 20 70 61 72 61 6d 65 74 65 72 73 0a 3c 4c 49 3e 20 ent.to.observed.parameters.<LI>.
1a80e0 43 41 4c 4c 20 73 6c 61 5f 41 4f 50 51 4b 20 28 52 41 50 2c 20 44 41 50 2c 20 41 4f 50 52 4d 53 CALL.sla_AOPQK.(RAP,.DAP,.AOPRMS
1a8100 2c 20 41 4f 42 2c 20 5a 4f 42 2c 20 48 4f 42 2c 20 44 4f 42 2c 20 52 4f 42 29 0a 3c 42 52 3e 0a ,.AOB,.ZOB,.HOB,.DOB,.ROB).<BR>.
1a8120 41 70 70 61 72 65 6e 74 20 74 6f 20 6f 62 73 65 72 76 65 64 20 75 73 69 6e 67 20 70 72 65 63 6f Apparent.to.observed.using.preco
1a8140 6d 70 75 74 65 64 20 70 61 72 61 6d 65 74 65 72 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f mputed.parameters.<LI>.CALL.sla_
1a8160 4f 41 50 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 54 59 50 45 2c OAP.(......................TYPE,
1a8180 20 4f 42 31 2c 20 4f 42 32 2c 20 55 54 43 2c 20 44 55 54 2c 20 45 4c 4f 4e 47 4d 2c 20 50 48 49 .OB1,.OB2,.UTC,.DUT,.ELONGM,.PHI
1a81a0 4d 2c 20 48 4d 2c 20 58 50 2c 20 59 50 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 M,.HM,.XP,.YP,..................
1a81c0 20 20 20 20 20 54 44 4b 2c 20 50 4d 42 2c 20 52 48 2c 20 57 4c 2c 20 54 4c 52 2c 20 52 41 50 2c .....TDK,.PMB,.RH,.WL,.TLR,.RAP,
1a81e0 20 44 41 50 29 0a 3c 42 52 3e 0a 4f 62 73 65 72 76 65 64 20 74 6f 20 61 70 70 61 72 65 6e 74 0a .DAP).<BR>.Observed.to.apparent.
1a8200 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 4f 41 50 51 4b 20 28 54 59 50 45 2c 20 4f 42 31 2c 20 <LI>.CALL.sla_OAPQK.(TYPE,.OB1,.
1a8220 4f 42 32 2c 20 41 4f 50 52 4d 53 2c 20 52 41 2c 20 44 41 29 0a 3c 42 52 3e 0a 4f 62 73 65 72 76 OB2,.AOPRMS,.RA,.DA).<BR>.Observ
1a8240 65 64 20 74 6f 20 61 70 70 61 72 65 6e 74 20 75 73 69 6e 67 20 70 72 65 63 6f 6d 70 75 74 65 64 ed.to.apparent.using.precomputed
1a8260 20 70 61 72 61 6d 65 74 65 72 73 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 41 7a 69 .parameters</UL>.<BR><BIG><B>Azi
1a8280 6d 75 74 68 20 61 6e 64 20 45 6c 65 76 61 74 69 6f 6e 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e muth.and.Elevation</BIG></B><UL>
1a82a0 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 41 4c 54 41 5a 20 28 0a 20 20 20 20 20 20 20 20 20 .<LI>.CALL.sla_ALTAZ.(..........
1a82c0 20 20 20 20 20 20 48 41 2c 20 44 45 43 2c 20 50 48 49 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 ......HA,.DEC,.PHI,.............
1a82e0 20 20 20 20 41 5a 2c 20 41 5a 44 2c 20 41 5a 44 44 2c 20 45 4c 2c 20 45 4c 44 2c 20 45 4c 44 44 ....AZ,.AZD,.AZDD,.EL,.ELD,.ELDD
1a8300 2c 20 50 41 2c 20 50 41 44 2c 20 50 41 44 44 29 0a 3c 42 52 3e 0a 50 6f 73 69 74 69 6f 6e 73 2c ,.PA,.PAD,.PADD).<BR>.Positions,
1a8320 20 76 65 6c 6f 63 69 74 69 65 73 20 3c 49 3e 65 74 63 2e 3c 2f 49 3e 20 66 6f 72 20 61 6e 20 61 .velocities.<I>etc.</I>.for.an.a
1a8340 6c 74 61 7a 69 6d 75 74 68 20 6d 6f 75 6e 74 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 32 ltazimuth.mount.<LI>.CALL.sla_E2
1a8360 48 20 28 48 41 2c 20 44 45 43 2c 20 50 48 49 2c 20 41 5a 2c 20 45 4c 29 0a 3c 42 52 3e 0a 43 41 H.(HA,.DEC,.PHI,.AZ,.EL).<BR>.CA
1a8380 4c 4c 20 73 6c 61 5f 44 45 32 48 20 28 48 41 2c 20 44 45 43 2c 20 50 48 49 2c 20 41 5a 2c 20 45 LL.sla_DE2H.(HA,.DEC,.PHI,.AZ,.E
1a83a0 4c 29 0a 3c 42 52 3e 0a 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 31 22 20 48 45 49 47 48 L).<BR>....<IMG.WIDTH="41".HEIGH
1a83c0 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 T="29".ALIGN="MIDDLE".BORDER="0"
1a83e0 0a 20 53 52 43 3d 22 69 6d 67 32 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 68 2c 5c 64 ..SRC="img29.gif"..ALT="$[\,h,\d
1a8400 65 6c 74 61 5c 2c 5d 24 22 3e 20 74 6f 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 36 36 22 20 48 45 elta\,]$">.to.<IMG.WIDTH="66".HE
1a8420 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d IGHT="29".ALIGN="MIDDLE".BORDER=
1a8440 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 38 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 41 "0"..SRC="img28.gif"..ALT="$[\,A
1a8460 7a 2c 45 6c 7e 5d 24 22 3e 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 48 32 45 20 28 41 5a 2c 20 z,El~]$"><LI>.CALL.sla_H2E.(AZ,.
1a8480 45 4c 2c 20 50 48 49 2c 20 48 41 2c 20 44 45 43 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f EL,.PHI,.HA,.DEC).<BR>.CALL.sla_
1a84a0 44 48 32 45 20 28 41 5a 2c 20 45 4c 2c 20 50 48 49 2c 20 48 41 2c 20 44 45 43 29 0a 3c 42 52 3e DH2E.(AZ,.EL,.PHI,.HA,.DEC).<BR>
1a84c0 0a 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 36 36 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 ....<IMG.WIDTH="66".HEIGHT="29".
1a84e0 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 ALIGN="MIDDLE".BORDER="0"..SRC="
1a8500 69 6d 67 32 38 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 41 7a 2c 45 6c 7e 5d 24 22 3e 20 img28.gif"..ALT="$[\,Az,El~]$">.
1a8520 74 6f 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 31 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 to.<IMG.WIDTH="41".HEIGHT="29".A
1a8540 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 LIGN="MIDDLE".BORDER="0"..SRC="i
1a8560 6d 67 32 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 68 2c 5c 64 65 6c 74 61 5c 2c 5d 24 mg29.gif"..ALT="$[\,h,\delta\,]$
1a8580 22 3e 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 44 41 32 48 20 28 50 2c 20 44 2c 20 41 2c 20 "><LI>.CALL.sla_PDA2H.(P,.D,.A,.
1a85a0 48 31 2c 20 4a 31 2c 20 48 32 2c 20 4a 32 29 0a 3c 42 52 3e 0a 48 6f 75 72 20 41 6e 67 6c 65 20 H1,.J1,.H2,.J2).<BR>.Hour.Angle.
1a85c0 63 6f 72 72 65 73 70 6f 6e 64 69 6e 67 20 74 6f 20 61 20 67 69 76 65 6e 20 61 7a 69 6d 75 74 68 corresponding.to.a.given.azimuth
1a85e0 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 44 51 32 48 20 28 50 2c 20 44 2c 20 51 2c 20 48 .<LI>.CALL.sla_PDQ2H.(P,.D,.Q,.H
1a8600 31 2c 20 4a 31 2c 20 48 32 2c 20 4a 32 29 0a 3c 42 52 3e 0a 48 6f 75 72 20 41 6e 67 6c 65 20 63 1,.J1,.H2,.J2).<BR>.Hour.Angle.c
1a8620 6f 72 72 65 73 70 6f 6e 64 69 6e 67 20 74 6f 20 61 20 67 69 76 65 6e 20 70 61 72 61 6c 6c 61 63 orresponding.to.a.given.parallac
1a8640 74 69 63 20 61 6e 67 6c 65 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 tic.angle.<LI>.D&nbsp;=&nbsp;sla
1a8660 5f 50 41 20 28 48 41 2c 20 44 45 43 2c 20 50 48 49 29 0a 3c 42 52 3e 0a 20 20 20 3c 49 4d 47 20 _PA.(HA,.DEC,.PHI).<BR>....<IMG.
1a8680 57 49 44 54 48 3d 22 34 31 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 WIDTH="41".HEIGHT="29".ALIGN="MI
1a86a0 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 39 2e 67 69 66 DDLE".BORDER="0"..SRC="img29.gif
1a86c0 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 68 2c 5c 64 65 6c 74 61 5c 2c 5d 24 22 3e 20 74 6f 20 70 61 "..ALT="$[\,h,\delta\,]$">.to.pa
1a86e0 72 61 6c 6c 61 63 74 69 63 20 61 6e 67 6c 65 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 rallactic.angle.<LI>.D&nbsp;=&nb
1a8700 73 70 3b 73 6c 61 5f 5a 44 20 28 48 41 2c 20 44 45 43 2c 20 50 48 49 29 0a 3c 42 52 3e 0a 20 20 sp;sla_ZD.(HA,.DEC,.PHI).<BR>...
1a8720 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 31 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 .<IMG.WIDTH="41".HEIGHT="29".ALI
1a8740 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 GN="MIDDLE".BORDER="0"..SRC="img
1a8760 32 39 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 68 2c 5c 64 65 6c 74 61 5c 2c 5d 24 22 3e 29.gif"..ALT="$[\,h,\delta\,]$">
1a8780 20 74 6f 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 .to.zenith.distance</UL>.<BR><BI
1a87a0 47 3e 3c 42 3e 52 65 66 72 61 63 74 69 6f 6e 20 61 6e 64 20 41 69 72 20 4d 61 73 73 3c 2f 42 49 G><B>Refraction.and.Air.Mass</BI
1a87c0 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 52 45 46 52 4f 20 28 G></B><UL>.<LI>.CALL.sla_REFRO.(
1a87e0 5a 4f 42 53 2c 20 48 4d 2c 20 54 44 4b 2c 20 50 4d 42 2c 20 52 48 2c 20 57 4c 2c 20 50 48 49 2c ZOBS,.HM,.TDK,.PMB,.RH,.WL,.PHI,
1a8800 20 54 4c 52 2c 20 45 50 53 2c 20 52 45 46 29 0a 3c 42 52 3e 0a 43 68 61 6e 67 65 20 69 6e 20 7a .TLR,.EPS,.REF).<BR>.Change.in.z
1a8820 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 64 75 65 20 74 6f 20 72 65 66 72 61 63 74 69 6f 6e enith.distance.due.to.refraction
1a8840 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 52 45 46 43 4f 20 28 48 4d 2c 20 54 44 4b 2c 20 50 .<LI>.CALL.sla_REFCO.(HM,.TDK,.P
1a8860 4d 42 2c 20 52 48 2c 20 57 4c 2c 20 50 48 49 2c 20 54 4c 52 2c 20 45 50 53 2c 20 52 45 46 41 2c MB,.RH,.WL,.PHI,.TLR,.EPS,.REFA,
1a8880 20 52 45 46 42 29 0a 3c 42 52 3e 0a 43 6f 6e 73 74 61 6e 74 73 20 66 6f 72 20 73 69 6d 70 6c 65 .REFB).<BR>.Constants.for.simple
1a88a0 20 72 65 66 72 61 63 74 69 6f 6e 20 6d 6f 64 65 6c 20 28 61 63 63 75 72 61 74 65 29 0a 3c 4c 49 .refraction.model.(accurate).<LI
1a88c0 3e 20 43 41 4c 4c 20 73 6c 61 5f 52 45 46 43 4f 51 20 28 54 44 4b 2c 20 50 4d 42 2c 20 52 48 2c >.CALL.sla_REFCOQ.(TDK,.PMB,.RH,
1a88e0 20 57 4c 2c 20 52 45 46 41 2c 20 52 45 46 42 29 0a 3c 42 52 3e 0a 43 6f 6e 73 74 61 6e 74 73 20 .WL,.REFA,.REFB).<BR>.Constants.
1a8900 66 6f 72 20 73 69 6d 70 6c 65 20 72 65 66 72 61 63 74 69 6f 6e 20 6d 6f 64 65 6c 20 28 66 61 73 for.simple.refraction.model.(fas
1a8920 74 29 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 41 54 4d 44 53 50 20 28 20 54 44 4b 2c 20 50 t).<LI>.CALL.sla_ATMDSP.(.TDK,.P
1a8940 4d 42 2c 20 52 48 2c 20 57 4c 31 2c 20 52 45 46 41 31 2c 20 52 45 46 42 31 2c 20 57 4c 32 2c 20 MB,.RH,.WL1,.REFA1,.REFB1,.WL2,.
1a8960 52 45 46 41 32 2c 20 52 45 46 42 32 20 29 0a 3c 42 52 3e 0a 41 64 6a 75 73 74 20 72 65 66 72 61 REFA2,.REFB2.).<BR>.Adjust.refra
1a8980 63 74 69 6f 6e 20 63 6f 6e 73 74 61 6e 74 73 20 66 6f 72 20 63 6f 6c 6f 75 72 0a 3c 4c 49 3e 20 ction.constants.for.colour.<LI>.
1a89a0 43 41 4c 4c 20 73 6c 61 5f 52 45 46 5a 20 28 5a 55 2c 20 52 45 46 41 2c 20 52 45 46 42 2c 20 5a CALL.sla_REFZ.(ZU,.REFA,.REFB,.Z
1a89c0 52 29 0a 3c 42 52 3e 0a 55 6e 72 65 66 72 61 63 74 65 64 20 74 6f 20 72 65 66 72 61 63 74 65 64 R).<BR>.Unrefracted.to.refracted
1a89e0 20 5a 44 2c 20 73 69 6d 70 6c 65 20 6d 6f 64 65 6c 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f .ZD,.simple.model.<LI>.CALL.sla_
1a8a00 52 45 46 56 20 28 56 55 2c 20 52 45 46 41 2c 20 52 45 46 42 2c 20 56 52 29 0a 3c 42 52 3e 0a 55 REFV.(VU,.REFA,.REFB,.VR).<BR>.U
1a8a20 6e 72 65 66 72 61 63 74 65 64 20 74 6f 20 72 65 66 72 61 63 74 65 64 20 3c 49 4d 47 20 57 49 44 nrefracted.to.refracted.<IMG.WID
1a8a40 54 48 3d 22 36 36 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c TH="66".HEIGHT="29".ALIGN="MIDDL
1a8a60 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 38 2e 67 69 66 22 0a 20 E".BORDER="0"..SRC="img28.gif"..
1a8a80 41 4c 54 3d 22 24 5b 5c 2c 41 7a 2c 45 6c 7e 5d 24 22 3e 20 76 65 63 74 6f 72 2c 20 73 69 6d 70 ALT="$[\,Az,El~]$">.vector,.simp
1a8aa0 6c 65 20 6d 6f 64 65 6c 0a 3c 4c 49 3e 20 44 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f le.model.<LI>.D&nbsp;=&nbsp;sla_
1a8ac0 41 49 52 4d 41 53 20 28 5a 44 29 0a 3c 42 52 3e 0a 41 69 72 20 6d 61 73 73 3c 2f 55 4c 3e 0a 3c AIRMAS.(ZD).<BR>.Air.mass</UL>.<
1a8ae0 42 52 3e 3c 42 49 47 3e 3c 42 3e 45 63 6c 69 70 74 69 63 20 43 6f 6f 72 64 69 6e 61 74 65 73 3c BR><BIG><B>Ecliptic.Coordinates<
1a8b00 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 43 4d 41 /BIG></B><UL>.<LI>.CALL.sla_ECMA
1a8b20 54 20 28 44 41 54 45 2c 20 52 4d 41 54 29 0a 3c 42 52 3e 0a 45 71 75 61 74 6f 72 69 61 6c 20 74 T.(DATE,.RMAT).<BR>.Equatorial.t
1a8b40 6f 20 65 63 6c 69 70 74 69 63 20 72 6f 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 0a 3c 4c 49 3e 20 o.ecliptic.rotation.matrix.<LI>.
1a8b60 43 41 4c 4c 20 73 6c 61 5f 45 51 45 43 4c 20 28 44 52 2c 20 44 44 2c 20 44 41 54 45 2c 20 44 4c CALL.sla_EQECL.(DR,.DD,.DATE,.DL
1a8b80 2c 20 44 42 29 0a 3c 42 52 3e 0a 4a 32 30 30 30 2e 30 20 60 46 4b 35 27 20 74 6f 20 65 63 6c 69 ,.DB).<BR>.J2000.0.`FK5'.to.ecli
1a8ba0 70 74 69 63 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 ptic.coordinates.<LI>.CALL.sla_E
1a8bc0 43 4c 45 51 20 28 44 4c 2c 20 44 42 2c 20 44 41 54 45 2c 20 44 52 2c 20 44 44 29 0a 3c 42 52 3e CLEQ.(DL,.DB,.DATE,.DR,.DD).<BR>
1a8be0 0a 45 63 6c 69 70 74 69 63 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 74 6f 20 4a 32 30 30 30 2e 30 .Ecliptic.coordinates.to.J2000.0
1a8c00 20 60 46 4b 35 27 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 47 61 6c 61 63 74 69 63 .`FK5'</UL>.<BR><BIG><B>Galactic
1a8c20 20 43 6f 6f 72 64 69 6e 61 74 65 73 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 .Coordinates</BIG></B><UL>.<LI>.
1a8c40 43 41 4c 4c 20 73 6c 61 5f 45 47 35 30 20 28 44 52 2c 20 44 44 2c 20 44 4c 2c 20 44 42 29 0a 3c CALL.sla_EG50.(DR,.DD,.DL,.DB).<
1a8c60 42 52 3e 0a 42 31 39 35 30 2e 30 20 60 46 4b 34 27 20 74 6f 20 67 61 6c 61 63 74 69 63 0a 3c 4c BR>.B1950.0.`FK4'.to.galactic.<L
1a8c80 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 47 45 35 30 20 28 44 4c 2c 20 44 42 2c 20 44 52 2c 20 44 44 I>.CALL.sla_GE50.(DL,.DB,.DR,.DD
1a8ca0 29 0a 3c 42 52 3e 0a 47 61 6c 61 63 74 69 63 20 74 6f 20 42 31 39 35 30 2e 30 20 60 46 4b 34 27 ).<BR>.Galactic.to.B1950.0.`FK4'
1a8cc0 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 51 47 41 4c 20 28 44 52 2c 20 44 44 2c 20 44 4c .<LI>.CALL.sla_EQGAL.(DR,.DD,.DL
1a8ce0 2c 20 44 42 29 0a 3c 42 52 3e 0a 4a 32 30 30 30 2e 30 20 60 46 4b 35 27 20 74 6f 20 67 61 6c 61 ,.DB).<BR>.J2000.0.`FK5'.to.gala
1a8d00 63 74 69 63 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 47 41 4c 45 51 20 28 44 4c 2c 20 44 42 ctic.<LI>.CALL.sla_GALEQ.(DL,.DB
1a8d20 2c 20 44 52 2c 20 44 44 29 0a 3c 42 52 3e 0a 47 61 6c 61 63 74 69 63 20 74 6f 20 4a 32 30 30 30 ,.DR,.DD).<BR>.Galactic.to.J2000
1a8d40 2e 30 20 60 46 4b 35 27 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 53 75 70 65 72 67 .0.`FK5'</UL>.<BR><BIG><B>Superg
1a8d60 61 6c 61 63 74 69 63 20 43 6f 6f 72 64 69 6e 61 74 65 73 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c alactic.Coordinates</BIG></B><UL
1a8d80 3e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 47 41 4c 53 55 50 20 28 44 4c 2c 20 44 42 2c 20 >.<LI>.CALL.sla_GALSUP.(DL,.DB,.
1a8da0 44 53 4c 2c 20 44 53 42 29 0a 3c 42 52 3e 0a 47 61 6c 61 63 74 69 63 20 74 6f 20 73 75 70 65 72 DSL,.DSB).<BR>.Galactic.to.super
1a8dc0 67 61 6c 61 63 74 69 63 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 53 55 50 47 41 4c 20 28 44 galactic.<LI>.CALL.sla_SUPGAL.(D
1a8de0 53 4c 2c 20 44 53 42 2c 20 44 4c 2c 20 44 42 29 0a 3c 42 52 3e 0a 53 75 70 65 72 67 61 6c 61 63 SL,.DSB,.DL,.DB).<BR>.Supergalac
1a8e00 74 69 63 20 74 6f 20 67 61 6c 61 63 74 69 63 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 tic.to.galactic</UL>.<BR><BIG><B
1a8e20 3e 45 70 68 65 6d 65 72 69 64 65 73 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c 4c 49 3e 20 >Ephemerides</BIG></B><UL>.<LI>.
1a8e40 43 41 4c 4c 20 73 6c 61 5f 44 4d 4f 4f 4e 20 28 44 41 54 45 2c 20 50 56 29 0a 3c 42 52 3e 0a 41 CALL.sla_DMOON.(DATE,.PV).<BR>.A
1a8e60 70 70 72 6f 78 69 6d 61 74 65 20 67 65 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 69 6f 6e 20 61 pproximate.geocentric.position.a
1a8e80 6e 64 20 76 65 6c 6f 63 69 74 79 20 6f 66 20 74 68 65 20 4d 6f 6f 6e 0a 3c 4c 49 3e 20 43 41 4c nd.velocity.of.the.Moon.<LI>.CAL
1a8ea0 4c 20 73 6c 61 5f 45 41 52 54 48 20 28 49 59 2c 20 49 44 2c 20 46 44 2c 20 50 56 29 0a 3c 42 52 L.sla_EARTH.(IY,.ID,.FD,.PV).<BR
1a8ec0 3e 0a 41 70 70 72 6f 78 69 6d 61 74 65 20 68 65 6c 69 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 >.Approximate.heliocentric.posit
1a8ee0 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 6f 66 20 74 68 65 20 45 61 72 74 68 0a 3c 4c ion.and.velocity.of.the.Earth.<L
1a8f00 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 56 50 20 28 44 41 54 45 2c 20 44 45 51 58 2c 20 44 56 42 I>.CALL.sla_EVP.(DATE,.DEQX,.DVB
1a8f20 2c 20 44 50 42 2c 20 44 56 48 2c 20 44 50 48 29 0a 3c 42 52 3e 0a 42 61 72 79 63 65 6e 74 72 69 ,.DPB,.DVH,.DPH).<BR>.Barycentri
1a8f40 63 20 61 6e 64 20 68 65 6c 69 6f 63 65 6e 74 72 69 63 20 76 65 6c 6f 63 69 74 79 20 61 6e 64 20 c.and.heliocentric.velocity.and.
1a8f60 70 6f 73 69 74 69 6f 6e 20 6f 66 20 74 68 65 20 45 61 72 74 68 0a 3c 4c 49 3e 20 43 41 4c 4c 20 position.of.the.Earth.<LI>.CALL.
1a8f80 73 6c 61 5f 4d 4f 4f 4e 20 28 49 59 2c 20 49 44 2c 20 46 44 2c 20 50 56 29 0a 3c 42 52 3e 0a 41 sla_MOON.(IY,.ID,.FD,.PV).<BR>.A
1a8fa0 70 70 72 6f 78 69 6d 61 74 65 20 67 65 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 69 6f 6e 20 61 pproximate.geocentric.position.a
1a8fc0 6e 64 20 76 65 6c 6f 63 69 74 79 20 6f 66 20 74 68 65 20 4d 6f 6f 6e 0a 3c 4c 49 3e 20 43 41 4c nd.velocity.of.the.Moon.<LI>.CAL
1a8fe0 4c 20 73 6c 61 5f 50 4c 41 4e 45 54 20 28 44 41 54 45 2c 20 4e 50 2c 20 50 56 2c 20 4a 53 54 41 L.sla_PLANET.(DATE,.NP,.PV,.JSTA
1a9000 54 29 0a 3c 42 52 3e 0a 41 70 70 72 6f 78 69 6d 61 74 65 20 68 65 6c 69 6f 63 65 6e 74 72 69 63 T).<BR>.Approximate.heliocentric
1a9020 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 6f 66 20 61 20 70 6c 61 6e .position.and.velocity.of.a.plan
1a9040 65 74 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 52 44 50 4c 41 4e 20 28 44 41 54 45 2c 20 4e et.<LI>.CALL.sla_RDPLAN.(DATE,.N
1a9060 50 2c 20 45 4c 4f 4e 47 2c 20 50 48 49 2c 20 52 41 2c 20 44 45 43 2c 20 44 49 41 4d 29 0a 3c 42 P,.ELONG,.PHI,.RA,.DEC,.DIAM).<B
1a9080 52 3e 0a 41 70 70 72 6f 78 69 6d 61 74 65 20 74 6f 70 6f 63 65 6e 74 72 69 63 20 61 70 70 61 72 R>.Approximate.topocentric.appar
1a90a0 65 6e 74 20 70 6c 61 63 65 20 6f 66 20 61 20 70 6c 61 6e 65 74 0a 3c 4c 49 3e 20 43 41 4c 4c 20 ent.place.of.a.planet.<LI>.CALL.
1a90c0 73 6c 61 5f 50 4c 41 4e 45 4c 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 sla_PLANEL.(....................
1a90e0 20 20 20 20 44 41 54 45 2c 20 4a 46 4f 52 4d 2c 20 45 50 4f 43 48 2c 20 4f 52 42 49 4e 43 2c 20 ....DATE,.JFORM,.EPOCH,.ORBINC,.
1a9100 41 4e 4f 44 45 2c 20 50 45 52 49 48 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ANODE,.PERIH,...................
1a9120 20 20 20 20 41 4f 52 51 2c 20 45 2c 20 41 4f 52 4c 2c 20 44 4d 2c 20 50 56 2c 20 4a 53 54 41 54 ....AORQ,.E,.AORL,.DM,.PV,.JSTAT
1a9140 29 0a 3c 42 52 3e 0a 48 65 6c 69 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 ).<BR>.Heliocentric.position.and
1a9160 20 76 65 6c 6f 63 69 74 79 20 6f 66 20 61 20 70 6c 61 6e 65 74 2c 20 61 73 74 65 72 6f 69 64 20 .velocity.of.a.planet,.asteroid.
1a9180 6f 72 0a 20 20 20 63 6f 6d 65 74 2c 20 73 74 61 72 74 69 6e 67 20 66 72 6f 6d 20 6f 72 62 69 74 or....comet,.starting.from.orbit
1a91a0 61 6c 20 65 6c 65 6d 65 6e 74 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 4c 41 4e 54 45 al.elements.<LI>.CALL.sla_PLANTE
1a91c0 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 41 54 45 2c 20 .(........................DATE,.
1a91e0 45 4c 4f 4e 47 2c 20 50 48 49 2c 20 4a 46 4f 52 4d 2c 20 45 50 4f 43 48 2c 20 4f 52 42 49 4e 43 ELONG,.PHI,.JFORM,.EPOCH,.ORBINC
1a9200 2c 20 41 4e 4f 44 45 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 ,.ANODE,.......................P
1a9220 45 52 49 48 2c 20 41 4f 52 51 2c 20 45 2c 20 41 4f 52 4c 2c 20 44 4d 2c 20 52 41 2c 20 44 45 43 ERIH,.AORQ,.E,.AORL,.DM,.RA,.DEC
1a9240 2c 20 52 2c 20 4a 53 54 41 54 29 0a 3c 42 52 3e 0a 54 6f 70 6f 63 65 6e 74 72 69 63 20 61 70 70 ,.R,.JSTAT).<BR>.Topocentric.app
1a9260 61 72 65 6e 74 20 70 6c 61 63 65 20 6f 66 20 61 20 53 6f 6c 61 72 2d 53 79 73 74 65 6d 20 6f 62 arent.place.of.a.Solar-System.ob
1a9280 6a 65 63 74 20 77 68 6f 73 65 0a 20 20 20 68 65 6c 69 6f 63 65 6e 74 72 69 63 20 6f 72 62 69 74 ject.whose....heliocentric.orbit
1a92a0 61 6c 20 65 6c 65 6d 65 6e 74 73 20 61 72 65 20 6b 6e 6f 77 6e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 al.elements.are.known.<LI>.CALL.
1a92c0 73 6c 61 5f 50 56 32 45 4c 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 sla_PV2EL.(.....................
1a92e0 20 20 50 56 2c 20 44 41 54 45 2c 20 50 4d 41 53 53 2c 20 4a 46 4f 52 4d 52 2c 20 4a 46 4f 52 4d ..PV,.DATE,.PMASS,.JFORMR,.JFORM
1a9300 2c 20 45 50 4f 43 48 2c 20 4f 52 42 49 4e 43 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ,.EPOCH,.ORBINC,................
1a9320 20 20 20 20 20 20 41 4e 4f 44 45 2c 20 50 45 52 49 48 2c 20 41 4f 52 51 2c 20 45 2c 20 41 4f 52 ......ANODE,.PERIH,.AORQ,.E,.AOR
1a9340 4c 2c 20 44 4d 2c 20 4a 53 54 41 54 29 0a 3c 42 52 3e 0a 4f 72 62 69 74 61 6c 20 65 6c 65 6d 65 L,.DM,.JSTAT).<BR>.Orbital.eleme
1a9360 6e 74 73 20 6f 66 20 61 20 70 6c 61 6e 65 74 20 66 72 6f 6d 20 69 6e 73 74 61 6e 74 61 6e 65 6f nts.of.a.planet.from.instantaneo
1a9380 75 73 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 0a 3c 4c 49 3e 20 43 41 us.position.and.velocity.<LI>.CA
1a93a0 4c 4c 20 73 6c 61 5f 50 45 52 54 45 4c 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 LL.sla_PERTEL.(.................
1a93c0 20 20 20 20 20 20 20 4a 46 4f 52 4d 2c 20 44 41 54 45 30 2c 20 44 41 54 45 31 2c 0a 20 20 20 20 .......JFORM,.DATE0,.DATE1,.....
1a93e0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 50 4f 43 48 30 2c 20 4f 52 42 49 30 2c 20 .................EPOCH0,.ORBI0,.
1a9400 41 4e 4f 44 45 30 2c 20 50 45 52 49 48 30 2c 20 41 4f 52 51 30 2c 20 45 30 2c 20 41 4d 30 2c 0a ANODE0,.PERIH0,.AORQ0,.E0,.AM0,.
1a9420 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 50 4f 43 48 31 2c 20 4f 52 42 .....................EPOCH1,.ORB
1a9440 49 31 2c 20 41 4e 4f 44 45 31 2c 20 50 45 52 49 48 31 2c 20 41 4f 52 51 31 2c 20 45 31 2c 20 41 I1,.ANODE1,.PERIH1,.AORQ1,.E1,.A
1a9460 4d 31 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 4a 53 54 41 54 29 0a M1,......................JSTAT).
1a9480 3c 42 52 3e 0a 55 70 64 61 74 65 20 65 6c 65 6d 65 6e 74 73 20 62 79 20 61 70 70 6c 79 69 6e 67 <BR>.Update.elements.by.applying
1a94a0 20 70 65 72 74 75 72 62 61 74 69 6f 6e 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 4c 32 .perturbations.<LI>.CALL.sla_EL2
1a94c0 55 45 20 28 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 44 41 54 45 2c UE.(.......................DATE,
1a94e0 20 4a 46 4f 52 4d 2c 20 45 50 4f 43 48 2c 20 4f 52 42 49 4e 43 2c 20 41 4e 4f 44 45 2c 0a 20 20 .JFORM,.EPOCH,.ORBINC,.ANODE,...
1a9500 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 45 52 49 48 2c 20 41 4f 52 51 2c 20 ...................PERIH,.AORQ,.
1a9520 45 2c 20 41 4f 52 4c 2c 20 44 4d 2c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 E,.AORL,.DM,....................
1a9540 20 20 55 2c 20 4a 53 54 41 54 29 0a 3c 42 52 3e 0a 54 72 61 6e 73 66 6f 72 6d 20 63 6f 6e 76 65 ..U,.JSTAT).<BR>.Transform.conve
1a9560 6e 74 69 6f 6e 61 6c 20 65 6c 65 6d 65 6e 74 73 20 74 6f 20 75 6e 69 76 65 72 73 61 6c 20 65 6c ntional.elements.to.universal.el
1a9580 65 6d 65 6e 74 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 55 45 32 45 4c 20 28 0a 20 20 20 ements.<LI>.CALL.sla_UE2EL.(....
1a95a0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 55 2c 20 4a 46 4f 52 4d 52 2c 0a 20 20 ...................U,.JFORMR,...
1a95c0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 4a 46 4f 52 4d 2c 20 45 50 4f 43 48 2c ...................JFORM,.EPOCH,
1a95e0 20 4f 52 42 49 4e 43 2c 20 41 4e 4f 44 45 2c 20 50 45 52 49 48 2c 0a 20 20 20 20 20 20 20 20 20 .ORBINC,.ANODE,.PERIH,..........
1a9600 20 20 20 20 20 20 20 20 20 20 20 20 41 4f 52 51 2c 20 45 2c 20 41 4f 52 4c 2c 20 44 4d 2c 20 4a ............AORQ,.E,.AORL,.DM,.J
1a9620 53 54 41 54 29 0a 3c 42 52 3e 0a 54 72 61 6e 73 66 6f 72 6d 20 75 6e 69 76 65 72 73 61 6c 20 65 STAT).<BR>.Transform.universal.e
1a9640 6c 65 6d 65 6e 74 73 20 74 6f 20 63 6f 6e 76 65 6e 74 69 6f 6e 61 6c 20 65 6c 65 6d 65 6e 74 73 lements.to.conventional.elements
1a9660 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 56 32 55 45 20 28 50 56 2c 20 44 41 54 45 2c 20 .<LI>.CALL.sla_PV2UE.(PV,.DATE,.
1a9680 50 4d 41 53 53 2c 20 55 2c 20 4a 53 54 41 54 29 0a 3c 42 52 3e 0a 50 61 63 6b 61 67 65 20 61 20 PMASS,.U,.JSTAT).<BR>.Package.a.
1a96a0 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 66 6f 72 20 75 73 65 20 61 73 position.and.velocity.for.use.as
1a96c0 20 75 6e 69 76 65 72 73 61 6c 20 65 6c 65 6d 65 6e 74 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c .universal.elements.<LI>.CALL.sl
1a96e0 61 5f 55 45 32 50 56 20 28 44 41 54 45 2c 20 55 2c 20 50 56 2c 20 4a 53 54 41 54 29 0a 3c 42 52 a_UE2PV.(DATE,.U,.PV,.JSTAT).<BR
1a9700 3e 0a 45 78 74 72 61 63 74 20 74 68 65 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 >.Extract.the.position.and.veloc
1a9720 69 74 79 20 66 72 6f 6d 20 75 6e 69 76 65 72 73 61 6c 20 65 6c 65 6d 65 6e 74 73 0a 3c 4c 49 3e ity.from.universal.elements.<LI>
1a9740 20 43 41 4c 4c 20 73 6c 61 5f 50 45 52 54 55 45 20 28 44 41 54 45 2c 20 55 2c 20 4a 53 54 41 54 .CALL.sla_PERTUE.(DATE,.U,.JSTAT
1a9760 29 0a 3c 42 52 3e 0a 55 70 64 61 74 65 20 75 6e 69 76 65 72 73 61 6c 20 65 6c 65 6d 65 6e 74 73 ).<BR>.Update.universal.elements
1a9780 20 62 79 20 61 70 70 6c 79 69 6e 67 20 70 65 72 74 75 72 62 61 74 69 6f 6e 73 0a 3c 4c 49 3e 20 .by.applying.perturbations.<LI>.
1a97a0 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 56 45 52 4f 54 20 28 50 48 49 2c 20 52 R&nbsp;=&nbsp;sla_RVEROT.(PHI,.R
1a97c0 41 2c 20 44 41 2c 20 53 54 29 0a 3c 42 52 3e 0a 56 65 6c 6f 63 69 74 79 20 63 6f 6d 70 6f 6e 65 A,.DA,.ST).<BR>.Velocity.compone
1a97e0 6e 74 20 64 75 65 20 74 6f 20 72 6f 74 61 74 69 6f 6e 20 6f 66 20 74 68 65 20 45 61 72 74 68 0a nt.due.to.rotation.of.the.Earth.
1a9800 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 45 43 4f 52 20 28 52 4d 2c 20 44 4d 2c 20 49 59 2c 20 <LI>.CALL.sla_ECOR.(RM,.DM,.IY,.
1a9820 49 44 2c 20 46 44 2c 20 52 56 2c 20 54 4c 29 0a 3c 42 52 3e 0a 43 6f 6d 70 6f 6e 65 6e 74 73 20 ID,.FD,.RV,.TL).<BR>.Components.
1a9840 6f 66 20 76 65 6c 6f 63 69 74 79 20 61 6e 64 20 6c 69 67 68 74 20 74 69 6d 65 20 64 75 65 20 74 of.velocity.and.light.time.due.t
1a9860 6f 20 45 61 72 74 68 20 6f 72 62 69 74 61 6c 20 6d 6f 74 69 6f 6e 0a 3c 4c 49 3e 20 52 26 6e 62 o.Earth.orbital.motion.<LI>.R&nb
1a9880 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 56 4c 53 52 44 20 28 52 32 30 30 30 2c 20 44 32 30 sp;=&nbsp;sla_RVLSRD.(R2000,.D20
1a98a0 30 30 29 0a 3c 42 52 3e 0a 56 65 6c 6f 63 69 74 79 20 63 6f 6d 70 6f 6e 65 6e 74 20 64 75 65 20 00).<BR>.Velocity.component.due.
1a98c0 74 6f 20 73 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 77 72 74 20 64 79 6e 61 6d 69 63 61 6c 20 4c 53 to.solar.motion.wrt.dynamical.LS
1a98e0 52 0a 3c 4c 49 3e 20 52 26 6e 62 73 70 3b 3d 26 6e 62 73 70 3b 73 6c 61 5f 52 56 4c 53 52 4b 20 R.<LI>.R&nbsp;=&nbsp;sla_RVLSRK.
1a9900 28 52 32 30 30 30 2c 20 44 32 30 30 30 29 0a 3c 42 52 3e 0a 56 65 6c 6f 63 69 74 79 20 63 6f 6d (R2000,.D2000).<BR>.Velocity.com
1a9920 70 6f 6e 65 6e 74 20 64 75 65 20 74 6f 20 73 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 77 72 74 20 6b ponent.due.to.solar.motion.wrt.k
1a9940 69 6e 65 6d 61 74 69 63 61 6c 20 4c 53 52 0a 3c 4c 49 3e 20 52 26 6e 62 73 70 3b 3d 26 6e 62 73 inematical.LSR.<LI>.R&nbsp;=&nbs
1a9960 70 3b 73 6c 61 5f 52 56 47 41 4c 43 20 28 52 32 30 30 30 2c 20 44 32 30 30 30 29 0a 3c 42 52 3e p;sla_RVGALC.(R2000,.D2000).<BR>
1a9980 0a 56 65 6c 6f 63 69 74 79 20 63 6f 6d 70 6f 6e 65 6e 74 20 64 75 65 20 74 6f 20 72 6f 74 61 74 .Velocity.component.due.to.rotat
1a99a0 69 6f 6e 20 6f 66 20 74 68 65 20 47 61 6c 61 78 79 0a 3c 4c 49 3e 20 52 26 6e 62 73 70 3b 3d 26 ion.of.the.Galaxy.<LI>.R&nbsp;=&
1a99c0 6e 62 73 70 3b 73 6c 61 5f 52 56 4c 47 20 28 52 32 30 30 30 2c 20 44 32 30 30 30 29 0a 3c 42 52 nbsp;sla_RVLG.(R2000,.D2000).<BR
1a99e0 3e 0a 56 65 6c 6f 63 69 74 79 20 63 6f 6d 70 6f 6e 65 6e 74 20 64 75 65 20 74 6f 20 72 6f 74 61 >.Velocity.component.due.to.rota
1a9a00 74 69 6f 6e 20 61 6e 64 20 74 72 61 6e 73 6c 61 74 69 6f 6e 20 6f 66 20 74 68 65 0a 20 20 20 47 tion.and.translation.of.the....G
1a9a20 61 6c 61 78 79 2c 20 72 65 6c 61 74 69 76 65 20 74 6f 20 74 68 65 20 6d 65 61 6e 20 6d 6f 74 69 alaxy,.relative.to.the.mean.moti
1a9a40 6f 6e 20 6f 66 20 74 68 65 20 6c 6f 63 61 6c 20 67 72 6f 75 70 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c on.of.the.local.group</UL>.<BR><
1a9a60 42 49 47 3e 3c 42 3e 41 73 74 72 6f 6d 65 74 72 79 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a BIG><B>Astrometry</BIG></B><UL>.
1a9a80 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 53 32 54 50 20 28 52 41 2c 20 44 45 43 2c 20 52 41 5a <LI>.CALL.sla_S2TP.(RA,.DEC,.RAZ
1a9aa0 2c 20 44 45 43 5a 2c 20 58 49 2c 20 45 54 41 2c 20 4a 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c ,.DECZ,.XI,.ETA,.J).<BR>.CALL.sl
1a9ac0 61 5f 44 53 32 54 50 20 28 52 41 2c 20 44 45 43 2c 20 52 41 5a 2c 20 44 45 43 5a 2c 20 58 49 2c a_DS2TP.(RA,.DEC,.RAZ,.DECZ,.XI,
1a9ae0 20 45 54 41 2c 20 4a 29 0a 3c 42 52 3e 0a 54 72 61 6e 73 66 6f 72 6d 20 73 70 68 65 72 69 63 61 .ETA,.J).<BR>.Transform.spherica
1a9b00 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 69 6e 74 6f 20 74 61 6e 67 65 6e 74 20 70 6c 61 6e 65 l.coordinates.into.tangent.plane
1a9b20 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 56 32 54 50 20 28 56 2c 20 56 30 2c 20 58 49 2c 20 .<LI>.CALL.sla_V2TP.(V,.V0,.XI,.
1a9b40 45 54 41 2c 20 4a 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 44 56 32 54 50 20 28 56 2c 20 ETA,.J).<BR>.CALL.sla_DV2TP.(V,.
1a9b60 56 30 2c 20 58 49 2c 20 45 54 41 2c 20 4a 29 0a 3c 42 52 3e 0a 54 72 61 6e 73 66 6f 72 6d 20 3c V0,.XI,.ETA,.J).<BR>.Transform.<
1a9b80 49 4d 47 20 57 49 44 54 48 3d 22 35 38 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e IMG.WIDTH="58".HEIGHT="29".ALIGN
1a9ba0 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 30 ="MIDDLE".BORDER="0"..SRC="img50
1a9bc0 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 2c 7a 5c 2c 5d 24 22 3e 20 69 6e 74 6f .gif"..ALT="$[\,x,y,z\,]$">.into
1a9be0 20 74 61 6e 67 65 6e 74 20 70 6c 61 6e 65 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 3c 4c 49 3e 20 .tangent.plane.coordinates.<LI>.
1a9c00 43 41 4c 4c 20 73 6c 61 5f 44 54 50 32 53 20 28 58 49 2c 20 45 54 41 2c 20 52 41 5a 2c 20 44 45 CALL.sla_DTP2S.(XI,.ETA,.RAZ,.DE
1a9c20 43 5a 2c 20 52 41 2c 20 44 45 43 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 54 50 32 53 20 CZ,.RA,.DEC).<BR>.CALL.sla_TP2S.
1a9c40 28 58 49 2c 20 45 54 41 2c 20 52 41 5a 2c 20 44 45 43 5a 2c 20 52 41 2c 20 44 45 43 29 0a 3c 42 (XI,.ETA,.RAZ,.DECZ,.RA,.DEC).<B
1a9c60 52 3e 0a 54 72 61 6e 73 66 6f 72 6d 20 74 61 6e 67 65 6e 74 20 70 6c 61 6e 65 20 63 6f 6f 72 64 R>.Transform.tangent.plane.coord
1a9c80 69 6e 61 74 65 73 20 69 6e 74 6f 20 73 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 inates.into.spherical.coordinate
1a9ca0 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 44 54 50 32 56 20 28 58 49 2c 20 45 54 41 2c 20 s.<LI>.CALL.sla_DTP2V.(XI,.ETA,.
1a9cc0 56 30 2c 20 56 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 54 50 32 56 20 28 58 49 2c 20 45 V0,.V).<BR>.CALL.sla_TP2V.(XI,.E
1a9ce0 54 41 2c 20 56 30 2c 20 56 29 0a 3c 42 52 3e 0a 54 72 61 6e 73 66 6f 72 6d 20 74 61 6e 67 65 6e TA,.V0,.V).<BR>.Transform.tangen
1a9d00 74 20 70 6c 61 6e 65 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 69 6e 74 6f 20 3c 49 4d 47 20 57 49 t.plane.coordinates.into.<IMG.WI
1a9d20 44 54 48 3d 22 35 38 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 DTH="58".HEIGHT="29".ALIGN="MIDD
1a9d40 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 30 2e 67 69 66 22 0a LE".BORDER="0"..SRC="img50.gif".
1a9d60 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 2c 7a 5c 2c 5d 24 22 3e 3c 4c 49 3e 20 43 41 4c 4c 20 73 .ALT="$[\,x,y,z\,]$"><LI>.CALL.s
1a9d80 6c 61 5f 44 54 50 53 32 43 20 28 58 49 2c 20 45 54 41 2c 20 52 41 2c 20 44 45 43 2c 20 52 41 5a la_DTPS2C.(XI,.ETA,.RA,.DEC,.RAZ
1a9da0 31 2c 20 44 45 43 5a 31 2c 20 52 41 5a 32 2c 20 44 45 43 5a 32 2c 20 4e 29 0a 3c 42 52 3e 0a 43 1,.DECZ1,.RAZ2,.DECZ2,.N).<BR>.C
1a9dc0 41 4c 4c 20 73 6c 61 5f 54 50 53 32 43 20 28 58 49 2c 20 45 54 41 2c 20 52 41 2c 20 44 45 43 2c ALL.sla_TPS2C.(XI,.ETA,.RA,.DEC,
1a9de0 20 52 41 5a 31 2c 20 44 45 43 5a 31 2c 20 52 41 5a 32 2c 20 44 45 43 5a 32 2c 20 4e 29 0a 3c 42 .RAZ1,.DECZ1,.RAZ2,.DECZ2,.N).<B
1a9e00 52 3e 0a 47 65 74 20 70 6c 61 74 65 20 63 65 6e 74 72 65 20 66 72 6f 6d 20 73 74 61 72 20 3c 49 R>.Get.plate.centre.from.star.<I
1a9e20 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d MG.WIDTH="42".HEIGHT="29".ALIGN=
1a9e40 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 2e 67 "MIDDLE".BORDER="0"..SRC="img3.g
1a9e60 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 5c 61 6c 70 68 61 2c 5c 64 65 6c 74 61 5c 2c 5d 24 22 if"..ALT="$[\,\alpha,\delta\,]$"
1a9e80 3e 20 61 6e 64 20 74 61 6e 67 65 6e 74 20 70 6c 61 6e 65 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a >.and.tangent.plane.coordinates.
1a9ea0 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 44 54 50 56 32 43 20 28 58 49 2c 20 45 54 41 2c 20 56 <LI>.CALL.sla_DTPV2C.(XI,.ETA,.V
1a9ec0 2c 20 56 30 31 2c 20 56 30 32 2c 20 4e 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 5f 54 50 56 ,.V01,.V02,.N).<BR>.CALL.sla_TPV
1a9ee0 32 43 20 28 58 49 2c 20 45 54 41 2c 20 56 2c 20 56 30 31 2c 20 56 30 32 2c 20 4e 29 0a 3c 42 52 2C.(XI,.ETA,.V,.V01,.V02,.N).<BR
1a9f00 3e 0a 47 65 74 20 70 6c 61 74 65 20 63 65 6e 74 72 65 20 66 72 6f 6d 20 73 74 61 72 20 3c 49 4d >.Get.plate.centre.from.star.<IM
1a9f20 47 20 57 49 44 54 48 3d 22 35 38 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 G.WIDTH="58".HEIGHT="29".ALIGN="
1a9f40 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 30 2e 67 MIDDLE".BORDER="0"..SRC="img50.g
1a9f60 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 2c 7a 5c 2c 5d 24 22 3e 20 61 6e 64 20 74 61 if"..ALT="$[\,x,y,z\,]$">.and.ta
1a9f80 6e 67 65 6e 74 20 70 6c 61 6e 65 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 3c 4c 49 3e 20 43 41 4c ngent.plane.coordinates.<LI>.CAL
1a9fa0 4c 20 73 6c 61 5f 50 43 44 20 28 44 49 53 43 4f 2c 20 58 2c 20 59 29 0a 3c 42 52 3e 0a 41 70 70 L.sla_PCD.(DISCO,.X,.Y).<BR>.App
1a9fc0 6c 79 20 70 69 6e 63 75 73 68 69 6f 6e 2f 62 61 72 72 65 6c 20 64 69 73 74 6f 72 74 69 6f 6e 0a ly.pincushion/barrel.distortion.
1a9fe0 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 55 4e 50 43 44 20 28 44 49 53 43 4f 2c 20 58 2c 20 59 <LI>.CALL.sla_UNPCD.(DISCO,.X,.Y
1aa000 29 0a 3c 42 52 3e 0a 52 65 6d 6f 76 65 20 70 69 6e 63 75 73 68 69 6f 6e 2f 62 61 72 72 65 6c 20 ).<BR>.Remove.pincushion/barrel.
1aa020 64 69 73 74 6f 72 74 69 6f 6e 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 46 49 54 58 59 20 28 distortion.<LI>.CALL.sla_FITXY.(
1aa040 49 54 59 50 45 2c 20 4e 50 2c 20 58 59 45 2c 20 58 59 4d 2c 20 43 4f 45 46 46 53 2c 20 4a 29 0a ITYPE,.NP,.XYE,.XYM,.COEFFS,.J).
1aa060 3c 42 52 3e 0a 46 69 74 20 61 20 6c 69 6e 65 61 72 20 6d 6f 64 65 6c 20 74 6f 20 72 65 6c 61 74 <BR>.Fit.a.linear.model.to.relat
1aa080 65 20 74 77 6f 20 73 65 74 73 20 6f 66 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 e.two.sets.of.<IMG.WIDTH="42".HE
1aa0a0 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d IGHT="29".ALIGN="MIDDLE".BORDER=
1aa0c0 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 "0"..SRC="img20.gif"..ALT="$[\,x
1aa0e0 2c 79 5c 2c 5d 24 22 3e 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 ,y\,]$">.coordinates.<LI>.CALL.s
1aa100 6c 61 5f 50 58 59 20 28 4e 50 2c 20 58 59 45 2c 20 58 59 4d 2c 20 43 4f 45 46 46 53 2c 20 58 59 la_PXY.(NP,.XYE,.XYM,.COEFFS,.XY
1aa120 50 2c 20 58 52 4d 53 2c 20 59 52 4d 53 2c 20 52 52 4d 53 29 0a 3c 42 52 3e 0a 43 6f 6d 70 75 74 P,.XRMS,.YRMS,.RRMS).<BR>.Comput
1aa140 65 20 70 72 65 64 69 63 74 65 64 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 61 6e 64 20 72 65 73 69 e.predicted.coordinates.and.resi
1aa160 64 75 61 6c 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 49 4e 56 46 20 28 46 57 44 53 2c 20 duals.<LI>.CALL.sla_INVF.(FWDS,.
1aa180 42 4b 57 44 53 2c 20 4a 29 0a 3c 42 52 3e 0a 49 6e 76 65 72 74 20 61 20 6c 69 6e 65 61 72 20 6d BKWDS,.J).<BR>.Invert.a.linear.m
1aa1a0 6f 64 65 6c 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 58 59 32 58 59 20 28 58 31 2c 20 59 31 odel.<LI>.CALL.sla_XY2XY.(X1,.Y1
1aa1c0 2c 20 43 4f 45 46 46 53 2c 20 58 32 2c 20 59 32 29 0a 3c 42 52 3e 0a 54 72 61 6e 73 66 6f 72 6d ,.COEFFS,.X2,.Y2).<BR>.Transform
1aa1e0 20 6f 6e 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 .one.<IMG.WIDTH="42".HEIGHT="29"
1aa200 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d .ALIGN="MIDDLE".BORDER="0"..SRC=
1aa220 22 69 6d 67 32 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 5c 2c 5d 24 22 3e 3c "img20.gif"..ALT="$[\,x,y\,]$"><
1aa240 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 44 43 4d 50 46 20 28 43 4f 45 46 46 53 2c 20 58 5a 2c 20 LI>.CALL.sla_DCMPF.(COEFFS,.XZ,.
1aa260 59 5a 2c 20 58 53 2c 20 59 53 2c 20 50 45 52 50 2c 20 4f 52 49 45 4e 54 29 0a 3c 42 52 3e 0a 44 YZ,.XS,.YS,.PERP,.ORIENT).<BR>.D
1aa280 65 63 6f 6d 70 6f 73 65 20 61 20 6c 69 6e 65 61 72 20 66 69 74 20 69 6e 74 6f 20 73 63 61 6c 65 ecompose.a.linear.fit.into.scale
1aa2a0 73 20 3c 49 3e 65 74 63 2e 3c 2f 49 3e 3c 2f 55 4c 3e 0a 3c 42 52 3e 3c 42 49 47 3e 3c 42 3e 4e s.<I>etc.</I></UL>.<BR><BIG><B>N
1aa2c0 75 6d 65 72 69 63 61 6c 20 4d 65 74 68 6f 64 73 3c 2f 42 49 47 3e 3c 2f 42 3e 3c 55 4c 3e 0a 3c umerical.Methods</BIG></B><UL>.<
1aa2e0 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 43 4f 4d 42 4e 20 28 4e 53 45 4c 2c 20 4e 43 41 4e 44 2c LI>.CALL.sla_COMBN.(NSEL,.NCAND,
1aa300 20 4c 49 53 54 2c 20 4a 29 0a 3c 42 52 3e 0a 4e 65 78 74 20 63 6f 6d 62 69 6e 61 74 69 6f 6e 20 .LIST,.J).<BR>.Next.combination.
1aa320 28 73 75 62 73 65 74 20 66 72 6f 6d 20 61 20 73 70 65 63 69 66 69 65 64 20 6e 75 6d 62 65 72 20 (subset.from.a.specified.number.
1aa340 6f 66 20 69 74 65 6d 73 29 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 50 45 52 4d 55 54 20 28 of.items).<LI>.CALL.sla_PERMUT.(
1aa360 4e 2c 20 49 53 54 41 54 45 2c 20 49 4f 52 44 45 52 2c 20 4a 29 0a 3c 42 52 3e 0a 4e 65 78 74 20 N,.ISTATE,.IORDER,.J).<BR>.Next.
1aa380 70 65 72 6d 75 74 61 74 69 6f 6e 20 6f 66 20 61 20 73 70 65 63 69 66 69 65 64 20 6e 75 6d 62 65 permutation.of.a.specified.numbe
1aa3a0 72 20 6f 66 20 69 74 65 6d 73 0a 3c 4c 49 3e 20 43 41 4c 4c 20 73 6c 61 5f 53 4d 41 54 20 28 4e r.of.items.<LI>.CALL.sla_SMAT.(N
1aa3c0 2c 20 41 2c 20 59 2c 20 44 2c 20 4a 46 2c 20 49 57 29 0a 3c 42 52 3e 0a 43 41 4c 4c 20 73 6c 61 ,.A,.Y,.D,.JF,.IW).<BR>.CALL.sla
1aa3e0 5f 44 4d 41 54 20 28 4e 2c 20 41 2c 20 59 2c 20 44 2c 20 4a 46 2c 20 49 57 29 0a 3c 42 52 3e 0a _DMAT.(N,.A,.Y,.D,.JF,.IW).<BR>.
1aa400 4d 61 74 72 69 78 20 69 6e 76 65 72 73 69 6f 6e 20 61 6e 64 20 73 6f 6c 75 74 69 6f 6e 20 6f 66 Matrix.inversion.and.solution.of
1aa420 20 73 69 6d 75 6c 74 61 6e 65 6f 75 73 20 65 71 75 61 74 69 6f 6e 73 0a 3c 4c 49 3e 20 43 41 4c .simultaneous.equations.<LI>.CAL
1aa440 4c 20 73 6c 61 5f 53 56 44 20 28 4d 2c 20 4e 2c 20 4d 50 2c 20 4e 50 2c 20 41 2c 20 57 2c 20 56 L.sla_SVD.(M,.N,.MP,.NP,.A,.W,.V
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1aaac0 50 2e 20 54 2e 20 57 61 6c 6c 61 63 65 3c 42 52 3e 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 P..T..Wallace<BR>12.October.1999
1aaae0 3c 42 52 3e 45 2d 6d 61 69 6c 3a 70 74 77 40 73 74 61 72 2e 72 6c 2e 61 63 2e 75 6b 3c 2f 49 3e <BR>E-mail:ptw@star.rl.ac.uk</I>
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1ac6a0 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
1ac6c0 3e 52 41 50 2c 44 41 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 >RAP,DAP</EM></TD>.<TH.ALIGN="LE
1ac6e0 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 FT"><B>D</B></TH>.<TD.ALIGN="LEF
1ac700 54 22 20 4e 4f 57 52 41 50 3e 67 65 6f 63 65 6e 74 72 69 63 20 61 70 70 61 72 65 6e 74 20 3c 49 T".NOWRAP>geocentric.apparent.<I
1ac720 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d MG.WIDTH="42".HEIGHT="29".ALIGN=
1ac740 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 2e 67 "MIDDLE".BORDER="0"..SRC="img3.g
1ac760 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 5c 61 6c 70 68 61 2c 5c 64 65 6c 74 61 5c 2c 5d 24 22 if"..ALT="$[\,\alpha,\delta\,]$"
1ac780 3e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 >.(radians)</TD>.</TR>.<TR.VALIG
1ac7a0 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 4f 50 N="TOP"><TD.ALIGN="LEFT"><EM>AOP
1ac7c0 52 4d 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c RMS</EM></TD>.<TD.ALIGN="LEFT"><
1ac7e0 42 3e 44 28 31 34 29 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 B>D(14)</B></TD>.<TD.ALIGN="LEFT
1ac800 22 20 4e 4f 57 52 41 50 3e 73 74 61 72 2d 69 6e 64 65 70 65 6e 64 65 6e 74 20 61 70 70 61 72 65 ".NOWRAP>star-independent.appare
1ac820 6e 74 2d 74 6f 2d 6f 62 73 65 72 76 65 64 20 70 61 72 61 6d 65 74 65 72 73 3a 3c 2f 54 44 3e 0a nt-to-observed.parameters:</TD>.
1ac840 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
1ac860 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 29 3c 2f ="CENTER".NOWRAP.COLSPAN=1>(1)</
1ac880 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e TD>.<TD></TD>.<TD.ALIGN="LEFT".N
1ac8a0 4f 57 52 41 50 3e 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 20 28 72 61 64 69 61 6e 73 OWRAP>geodetic.latitude.(radians
1ac8c0 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 )</TD>.</TR>.<TR.VALIGN="TOP"><T
1ac8e0 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d D.ALIGN="CENTER".NOWRAP.COLSPAN=
1ac900 31 3e 28 32 2c 33 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 1>(2,3)</TD>.<TD></TD>.<TD.ALIGN
1ac920 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 73 69 6e 65 20 61 6e 64 20 63 6f 73 69 6e 65 20 6f ="LEFT".NOWRAP>sine.and.cosine.o
1ac940 66 20 67 65 6f 64 65 74 69 63 20 6c 61 74 69 74 75 64 65 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c f.geodetic.latitude</TD>.</TR>.<
1ac960 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 TR.VALIGN="TOP"><TD.ALIGN="CENTE
1ac980 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 34 29 3c 2f 54 44 3e 0a 3c 54 44 R".NOWRAP.COLSPAN=1>(4)</TD>.<TD
1ac9a0 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6d ></TD>.<TD.ALIGN="LEFT".NOWRAP>m
1ac9c0 61 67 6e 69 74 75 64 65 20 6f 66 20 64 69 75 72 6e 61 6c 20 61 62 65 72 72 61 74 69 6f 6e 20 76 agnitude.of.diurnal.aberration.v
1ac9e0 65 63 74 6f 72 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 ector</TD>.</TR>.<TR.VALIGN="TOP
1aca00 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 "><TD.ALIGN="CENTER".NOWRAP.COLS
1aca20 50 41 4e 3d 31 3e 28 35 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 PAN=1>(5)</TD>.<TD></TD>.<TD.ALI
1aca40 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 68 65 69 67 68 74 20 28 6d 65 74 72 65 73 29 GN="LEFT".NOWRAP>height.(metres)
1aca60 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
1aca80 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 .ALIGN="CENTER".NOWRAP.COLSPAN=1
1acaa0 3e 28 36 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c >(6)</TD>.<TD></TD>.<TD.ALIGN="L
1acac0 45 46 54 22 20 4e 4f 57 52 41 50 3e 61 6d 62 69 65 6e 74 20 74 65 6d 70 65 72 61 74 75 72 65 20 EFT".NOWRAP>ambient.temperature.
1acae0 28 64 65 67 72 65 65 73 20 4b 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 (degrees.K)</TD>.</TR>.<TR.VALIG
1acb00 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 N="TOP"><TD.ALIGN="CENTER".NOWRA
1acb20 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 37 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c P.COLSPAN=1>(7)</TD>.<TD></TD>.<
1acb40 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 72 65 73 73 75 72 65 20 TD.ALIGN="LEFT".NOWRAP>pressure.
1acb60 28 6d 42 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 (mB)</TD>.</TR>.<TR.VALIGN="TOP"
1acb80 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 ><TD.ALIGN="CENTER".NOWRAP.COLSP
1acba0 41 4e 3d 31 3e 28 38 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 AN=1>(8)</TD>.<TD></TD>.<TD.ALIG
1acbc0 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 6c 61 74 69 76 65 20 68 75 6d 69 64 69 74 N="LEFT".NOWRAP>relative.humidit
1acbe0 79 20 28 30 2d 31 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 y.(0-1)</TD>.</TR>.<TR.VALIGN="T
1acc00 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f OP"><TD.ALIGN="CENTER".NOWRAP.CO
1acc20 4c 53 50 41 4e 3d 31 3e 28 39 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 LSPAN=1>(9)</TD>.<TD></TD>.<TD.A
1acc40 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 77 61 76 65 6c 65 6e 67 74 68 20 28 3c LIGN="LEFT".NOWRAP>wavelength.(<
1acc60 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e IMG.WIDTH="26".HEIGHT="25".ALIGN
1acc80 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 31 ="MIDDLE".BORDER="0"..SRC="img21
1acca0 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 29 3c 2f 54 44 3e .gif"..ALT="$\mu{\rm.m}$">)</TD>
1accc0 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
1acce0 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 30 29 N="CENTER".NOWRAP.COLSPAN=1>(10)
1acd00 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 </TD>.<TD></TD>.<TD.ALIGN="LEFT"
1acd20 20 4e 4f 57 52 41 50 3e 6c 61 70 73 65 20 72 61 74 65 20 28 64 65 67 72 65 65 73 20 4b 20 70 65 .NOWRAP>lapse.rate.(degrees.K.pe
1acd40 72 20 6d 65 74 72 65 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 r.metre)</TD>.</TR>.<TR.VALIGN="
1acd60 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 TOP"><TD.ALIGN="CENTER".NOWRAP.C
1acd80 4f 4c 53 50 41 4e 3d 31 3e 28 31 31 2c 31 32 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a OLSPAN=1>(11,12)</TD>.<TD></TD>.
1acda0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 66 72 61 63 74 69 <TD.ALIGN="LEFT".NOWRAP>refracti
1acdc0 6f 6e 20 63 6f 6e 73 74 61 6e 74 73 20 41 20 61 6e 64 20 42 20 28 72 61 64 69 61 6e 73 29 3c 2f on.constants.A.and.B.(radians)</
1acde0 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
1ace00 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 LIGN="CENTER".NOWRAP.COLSPAN=1>(
1ace20 31 33 29 3c 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 13)</TD>.<TD></TD>.<TD.ALIGN="LE
1ace40 46 54 22 20 4e 4f 57 52 41 50 3e 6c 6f 6e 67 69 74 75 64 65 20 2b 20 65 71 6e 20 6f 66 20 65 71 FT".NOWRAP>longitude.+.eqn.of.eq
1ace60 75 69 6e 6f 78 65 73 20 2b 0a 60 60 73 69 64 65 72 65 61 6c 20 3c 49 4d 47 20 57 49 44 54 48 3d uinoxes.+.``sidereal.<IMG.WIDTH=
1ace80 22 31 36 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 "16".HEIGHT="13".ALIGN="BOTTOM".
1acea0 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 31 39 2e 67 69 66 22 0a 20 41 4c 54 BORDER="0"..SRC="img19.gif"..ALT
1acec0 3d 22 24 5c 44 65 6c 74 61 24 22 3e 55 54 27 27 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a ="$\Delta$">UT''.(radians)</TD>.
1acee0 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
1acf00 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 20 43 4f 4c 53 50 41 4e 3d 31 3e 28 31 34 29 3c ="CENTER".NOWRAP.COLSPAN=1>(14)<
1acf20 2f 54 44 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 /TD>.<TD></TD>.<TD.ALIGN="LEFT".
1acf40 4e 4f 57 52 41 50 3e 6c 6f 63 61 6c 20 61 70 70 61 72 65 6e 74 20 73 69 64 65 72 65 61 6c 20 74 NOWRAP>local.apparent.sidereal.t
1acf60 69 6d 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 ime.(radians)</TD>.</TR>.</TABLE
1acf80 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e ></DL>.<P>.....<DL>.<DT><STRONG>
1acfa0 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 RETURNED:</STRONG>.<DD>.<BR>.<TA
1acfc0 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 BLE.CELLPADDING=3>.<TR.VALIGN="T
1acfe0 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 4f 42 3c 2f 45 4d OP"><TD.ALIGN="LEFT"><EM>AOB</EM
1ad000 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e ></TD>.<TH.ALIGN="LEFT"><B>D</B>
1ad020 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 </TH>.<TD.ALIGN="LEFT".NOWRAP>ob
1ad040 73 65 72 76 65 64 20 61 7a 69 6d 75 74 68 20 28 72 61 64 69 61 6e 73 3a 20 4e 3d 30 2c 20 45 3d served.azimuth.(radians:.N=0,.E=
1ad060 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 <IMG.WIDTH="26".HEIGHT="14".ALIG
1ad080 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 N="BOTTOM".BORDER="0"..SRC="img2
1ad0a0 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 39 30 5e 7b 5c 63 69 72 63 7d 24 22 3e 29 3c 2f 54 44 2.gif"..ALT="$90^{\circ}$">)</TD
1ad0c0 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 >.</TR>.<TR.VALIGN="TOP"><TD.ALI
1ad0e0 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 5a 4f 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 GN="LEFT"><EM>ZOB</EM></TD>.<TD.
1ad100 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 ALIGN="LEFT"><B>D</B></TD>.<TD.A
1ad120 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 64 20 7a 65 6e 69 LIGN="LEFT".NOWRAP>observed.zeni
1ad140 74 68 20 64 69 73 74 61 6e 63 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e th.distance.(radians)</TD>.</TR>
1ad160 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 .<TR.VALIGN="TOP"><TD.ALIGN="LEF
1ad180 54 22 3e 3c 45 4d 3e 48 4f 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 T"><EM>HOB</EM></TD>.<TD.ALIGN="
1ad1a0 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c LEFT"><B>D</B></TD>.<TD.ALIGN="L
1ad1c0 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 64 20 48 6f 75 72 20 41 6e 67 6c 65 20 EFT".NOWRAP>observed.Hour.Angle.
1ad1e0 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d (radians)</TD>.</TR>.<TR.VALIGN=
1ad200 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 4f 42 3c 2f "TOP"><TD.ALIGN="LEFT"><EM>DOB</
1ad220 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f EM></TD>.<TD.ALIGN="LEFT"><B>D</
1ad240 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TD>.<TD.ALIGN="LEFT".NOWRAP>
1ad260 6f 62 73 65 72 76 65 64 20 44 65 63 6c 69 6e 61 74 69 6f 6e 20 28 72 61 64 69 61 6e 73 29 3c 2f observed.Declination.(radians)</
1ad280 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
1ad2a0 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 4f 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 LIGN="LEFT"><EM>ROB</EM></TD>.<T
1ad2c0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 D.ALIGN="LEFT"><B>D</B></TD>.<TD
1ad2e0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 62 73 65 72 76 65 64 20 52 69 .ALIGN="LEFT".NOWRAP>observed.Ri
1ad300 67 68 74 20 41 73 63 65 6e 73 69 6f 6e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 ght.Ascension.(radians)</TD>.</T
1ad320 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c R>.</TABLE></DL>.<P>......<DL>.<
1ad340 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c DT><STRONG>NOTES:</STRONG>.<DD><
1ad360 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 69 73 20 72 6f 75 74 DL.COMPACT>.<DT>1..<DD>This.rout
1ad380 69 6e 65 20 72 65 74 75 72 6e 73 20 7a 65 6e 69 74 68 20 64 69 73 74 61 6e 63 65 20 72 61 74 68 ine.returns.zenith.distance.rath
1ad3a0 65 72 20 74 68 61 6e 20 65 6c 65 76 61 74 69 6f 6e 0a 69 6e 20 6f 72 64 65 72 20 74 6f 20 72 65 er.than.elevation.in.order.to.re
1ad3c0 66 6c 65 63 74 20 74 68 65 20 66 61 63 74 20 74 68 61 74 20 6e 6f 20 61 6c 6c 6f 77 61 6e 63 65 flect.the.fact.that.no.allowance
1ad3e0 20 69 73 20 6d 61 64 65 20 66 6f 72 0a 64 65 70 72 65 73 73 69 6f 6e 20 6f 66 20 74 68 65 20 68 .is.made.for.depression.of.the.h
1ad400 6f 72 69 7a 6f 6e 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 61 63 63 75 72 61 63 orizon....<DT>2..<DD>The.accurac
1ad420 79 20 6f 66 20 74 68 65 20 72 65 73 75 6c 74 20 69 73 20 6c 69 6d 69 74 65 64 20 62 79 20 74 68 y.of.the.result.is.limited.by.th
1ad440 65 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 66 6f 72 0a 20 20 20 20 20 20 20 20 72 65 66 72 61 63 e.corrections.for.........refrac
1ad460 74 69 6f 6e 2e 20 20 50 72 6f 76 69 64 69 6e 67 20 74 68 65 20 6d 65 74 65 6f 72 6f 6c 6f 67 69 tion...Providing.the.meteorologi
1ad480 63 61 6c 20 70 61 72 61 6d 65 74 65 72 73 20 61 72 65 0a 20 20 20 20 20 20 20 20 6b 6e 6f 77 6e cal.parameters.are.........known
1ad4a0 20 61 63 63 75 72 61 74 65 6c 79 20 61 6e 64 20 74 68 65 72 65 20 61 72 65 20 6e 6f 20 67 72 6f .accurately.and.there.are.no.gro
1ad4c0 73 73 20 6c 6f 63 61 6c 20 65 66 66 65 63 74 73 2c 20 74 68 65 0a 20 20 20 20 20 20 20 20 70 72 ss.local.effects,.the.........pr
1ad4e0 65 64 69 63 74 65 64 20 61 7a 69 6d 75 74 68 20 61 6e 64 20 65 6c 65 76 61 74 69 6f 6e 20 73 68 edicted.azimuth.and.elevation.sh
1ad500 6f 75 6c 64 20 62 65 20 77 69 74 68 69 6e 20 61 62 6f 75 74 0a 3c 50 3e 20 20 20 20 20 20 3c 49 ould.be.within.about.<P>......<I
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1ad540 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 35 2e "BOTTOM".BORDER="0"..SRC="img25.
1ad560 67 69 66 22 0a 20 41 4c 54 3d 22 24 30 5c 68 73 70 61 63 65 7b 2d 30 2e 30 35 65 6d 7d 5e 7b 27 gif"..ALT="$0\hspace{-0.05em}^{'
1ad580 5c 68 73 70 61 63 65 7b 2d 30 2e 31 65 6d 7d 27 7d 5c 68 73 70 61 63 65 7b 2d 30 2e 34 65 6d 7d \hspace{-0.1em}'}\hspace{-0.4em}
1ad5a0 2e 31 24 22 3e 20 20 20 20 66 6f 72 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 35 36 22 20 48 45 49 .1$">....for.<IMG.WIDTH="56".HEI
1ad5c0 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 GHT="27".ALIGN="MIDDLE".BORDER="
1ad5e0 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 36 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 7a 65 74 61 0"..SRC="img26.gif"..ALT="$\zeta
1ad600 3c 37 30 5e 7b 5c 63 69 72 63 7d 24 22 3e 2e 20 20 45 76 65 6e 0a 20 20 20 20 20 20 20 20 61 74 <70^{\circ}$">...Even.........at
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1af940 5f 41 54 4d 44 53 50 22 3e 26 23 31 36 30 3b 3c 2f 41 3e 3c 41 20 4e 41 4d 45 3d 22 53 4c 41 5f _ATMDSP">&#160;</A><A.NAME="SLA_
1af960 41 54 4d 44 53 50 22 3e 26 23 31 36 30 3b 3c 2f 41 3e 0a 3c 2f 48 32 3e 0a 20 20 20 20 20 20 20 ATMDSP">&#160;</A>.</H2>........
1af980 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 <DL>.<DT><STRONG>ACTION:</STRONG
1af9a0 3e 0a 3c 44 44 3e 41 70 70 6c 79 20 61 74 6d 6f 73 70 68 65 72 69 63 2d 64 69 73 70 65 72 73 69 >.<DD>Apply.atmospheric-dispersi
1af9c0 6f 6e 20 61 64 6a 75 73 74 6d 65 6e 74 73 20 74 6f 20 72 65 66 72 61 63 74 69 6f 6e 20 63 6f 65 on.adjustments.to.refraction.coe
1af9e0 66 66 69 63 69 65 6e 74 73 2e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 fficients..<DT><STRONG>CALL:</ST
1afa00 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 41 54 4d 44 53 50 20 28 54 RONG>.<DD><TT>CALL.sla_ATMDSP.(T
1afa20 44 4b 2c 20 50 4d 42 2c 20 52 48 2c 20 57 4c 31 2c 20 41 31 2c 20 42 31 2c 20 57 4c 32 2c 20 41 DK,.PMB,.RH,.WL1,.A1,.B1,.WL2,.A
1afa40 32 2c 20 42 32 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 2,.B2)</TT>.<P>.......</DL>.<P>.
1afa60 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 ....<DL>.<DT><STRONG>GIVEN:</STR
1afa80 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e ONG>.<DD>.<BR>.<TABLE.CELLPADDIN
1afaa0 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d G=3>.<TR.VALIGN="TOP"><TD.ALIGN=
1afac0 22 4c 45 46 54 22 3e 3c 45 4d 3e 54 44 4b 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 "LEFT"><EM>TDK</EM></TD>.<TH.ALI
1afae0 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>D</B></TH>.<TD.ALIG
1afb00 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 61 6d 62 69 65 6e 74 20 74 65 6d 70 65 72 61 74 N="LEFT".NOWRAP>ambient.temperat
1afb20 75 72 65 20 61 74 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 28 64 65 67 72 65 65 73 20 4b 29 3c ure.at.the.observer.(degrees.K)<
1afb40 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
1afb60 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 4d 42 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c ALIGN="LEFT"><EM>PMB</EM></TD>.<
1afb80 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 TD.ALIGN="LEFT"><B>D</B></TD>.<T
1afba0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 70 72 65 73 73 75 72 65 20 61 D.ALIGN="LEFT".NOWRAP>pressure.a
1afbc0 74 20 74 68 65 20 6f 62 73 65 72 76 65 72 20 28 6d 42 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c t.the.observer.(mB)</TD>.</TR>.<
1afbe0 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 TR.VALIGN="TOP"><TD.ALIGN="LEFT"
1afc00 3e 3c 45 4d 3e 52 48 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 ><EM>RH</EM></TD>.<TD.ALIGN="LEF
1afc20 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 T"><B>D</B></TD>.<TD.ALIGN="LEFT
1afc40 22 20 4e 4f 57 52 41 50 3e 72 65 6c 61 74 69 76 65 20 68 75 6d 69 64 69 74 79 20 61 74 20 74 68 ".NOWRAP>relative.humidity.at.th
1afc60 65 20 6f 62 73 65 72 76 65 72 20 28 72 61 6e 67 65 20 30 2d 31 29 3c 2f 54 44 3e 0a 3c 2f 54 52 e.observer.(range.0-1)</TD>.</TR
1afc80 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
1afca0 46 54 22 3e 3c 45 4d 3e 57 4c 31 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d FT"><EM>WL1</EM></TD>.<TD.ALIGN=
1afcc0 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 "LEFT"><B>D</B></TD>.<TD.ALIGN="
1afce0 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 62 61 73 65 20 77 61 76 65 6c 65 6e 67 74 68 20 28 3c 49 LEFT".NOWRAP>base.wavelength.(<I
1afd00 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d MG.WIDTH="26".HEIGHT="25".ALIGN=
1afd20 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 31 2e "MIDDLE".BORDER="0"..SRC="img21.
1afd40 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 29 3c 2f 54 44 3e 0a gif"..ALT="$\mu{\rm.m}$">)</TD>.
1afd60 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
1afd80 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 31 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 ="LEFT"><EM>A1</EM></TD>.<TD.ALI
1afda0 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>D</B></TD>.<TD.ALIG
1afdc0 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 66 72 61 63 74 69 6f 6e 20 63 6f 65 66 66 N="LEFT".NOWRAP>refraction.coeff
1afde0 69 63 69 65 6e 74 20 41 20 66 6f 72 20 77 61 76 65 6c 65 6e 67 74 68 20 57 4c 31 20 28 72 61 64 icient.A.for.wavelength.WL1.(rad
1afe00 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 ians)</TD>.</TR>.<TR.VALIGN="TOP
1afe20 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 42 31 3c 2f 45 4d 3e 3c 2f "><TD.ALIGN="LEFT"><EM>B1</EM></
1afe40 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 TD>.<TD.ALIGN="LEFT"><B>D</B></T
1afe60 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 65 66 72 61 D>.<TD.ALIGN="LEFT".NOWRAP>refra
1afe80 63 74 69 6f 6e 20 63 6f 65 66 66 69 63 69 65 6e 74 20 42 20 66 6f 72 20 77 61 76 65 6c 65 6e 67 ction.coefficient.B.for.waveleng
1afea0 74 68 20 57 4c 31 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 th.WL1.(radians)</TD>.</TR>.<TR.
1afec0 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 VALIGN="TOP"><TD.ALIGN="LEFT"><E
1afee0 4d 3e 57 4c 32 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 M>WL2</EM></TD>.<TD.ALIGN="LEFT"
1aff00 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>D</B></TD>.<TD.ALIGN="LEFT".
1aff20 4e 4f 57 52 41 50 3e 77 61 76 65 6c 65 6e 67 74 68 20 66 6f 72 20 77 68 69 63 68 20 61 64 6a 75 NOWRAP>wavelength.for.which.adju
1aff40 73 74 65 64 20 41 2c 42 20 72 65 71 75 69 72 65 64 20 28 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 sted.A,B.required.(<IMG.WIDTH="2
1aff60 36 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 6".HEIGHT="25".ALIGN="MIDDLE".BO
1aff80 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 RDER="0"..SRC="img21.gif"..ALT="
1affa0 24 5c 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 $\mu{\rm.m}$">)</TD>.</TR>.</TAB
1affc0 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e LE></DL>.<P>.....<DL>.<DT><STRON
1affe0 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c G>RETURNED:</STRONG>.<DD>.<BR>.<
1b0000 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d TABLE.CELLPADDING=3>.<TR.VALIGN=
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1b0040 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 M></TD>.<TH.ALIGN="LEFT"><B>D</B
1b0060 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 72 ></TH>.<TD.ALIGN="LEFT".NOWRAP>r
1b0080 65 66 72 61 63 74 69 6f 6e 20 63 6f 65 66 66 69 63 69 65 6e 74 20 41 20 66 6f 72 20 77 61 76 65 efraction.coefficient.A.for.wave
1b00a0 6c 65 6e 67 74 68 20 57 4c 32 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a length.WL2.(radians)</TD>.</TR>.
1b00c0 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <TR.VALIGN="TOP"><TD.ALIGN="LEFT
1b00e0 22 3e 3c 45 4d 3e 42 32 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 "><EM>B2</EM></TD>.<TD.ALIGN="LE
1b0100 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 FT"><B>D</B></TD>.<TD.ALIGN="LEF
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1b0140 20 42 20 66 6f 72 20 77 61 76 65 6c 65 6e 67 74 68 20 57 4c 32 20 28 72 61 64 69 61 6e 73 29 3c .B.for.wavelength.WL2.(radians)<
1b0160 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 /TD>.</TR>.</TABLE></DL>.<P>....
1b0180 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e ..<DL>.<DT><STRONG>NOTES:</STRON
1b01a0 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 G>.<DD><DL.COMPACT>.<DT>1..<DD>T
1b01c0 6f 20 75 73 65 20 74 68 69 73 20 72 6f 75 74 69 6e 65 2c 20 66 69 72 73 74 20 63 61 6c 6c 20 73 o.use.this.routine,.first.call.s
1b01e0 6c 61 5f 52 45 46 43 4f 20 73 70 65 63 69 66 79 69 6e 67 20 57 4c 31 20 61 73 20 74 68 65 0a 77 la_REFCO.specifying.WL1.as.the.w
1b0200 61 76 65 6c 65 6e 67 74 68 2e 20 20 54 68 69 73 20 79 69 65 6c 64 73 20 72 65 66 72 61 63 74 69 avelength...This.yields.refracti
1b0220 6f 6e 20 63 6f 65 66 66 69 63 69 65 6e 74 73 20 41 31 2c 20 42 31 2c 20 63 6f 72 72 65 63 74 0a on.coefficients.A1,.B1,.correct.
1b0240 66 6f 72 20 74 68 61 74 20 77 61 76 65 6c 65 6e 67 74 68 2e 20 20 53 75 62 73 65 71 75 65 6e 74 for.that.wavelength...Subsequent
1b0260 6c 79 2c 20 63 61 6c 6c 73 20 74 6f 20 73 6c 61 5f 41 54 4d 44 53 50 20 73 70 65 63 69 66 79 69 ly,.calls.to.sla_ATMDSP.specifyi
1b0280 6e 67 0a 20 20 20 20 20 20 20 20 64 69 66 66 65 72 65 6e 74 20 77 61 76 65 6c 65 6e 67 74 68 73 ng.........different.wavelengths
1b02a0 20 77 69 6c 6c 20 70 72 6f 64 75 63 65 20 6e 65 77 2c 20 73 6c 69 67 68 74 6c 79 20 61 64 6a 75 .will.produce.new,.slightly.adju
1b02c0 73 74 65 64 0a 20 20 20 20 20 20 20 20 72 65 66 72 61 63 74 69 6f 6e 20 63 6f 65 66 66 69 63 69 sted.........refraction.coeffici
1b02e0 65 6e 74 73 20 41 32 2c 20 42 32 2c 20 77 68 69 63 68 20 61 70 70 6c 79 20 74 6f 20 74 68 65 20 ents.A2,.B2,.which.apply.to.the.
1b0300 73 70 65 63 69 66 69 65 64 20 77 61 76 65 6c 65 6e 67 74 68 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c specified.wavelength....<DT>2..<
1b0320 44 44 3e 4d 6f 73 74 20 6f 66 20 74 68 65 20 61 74 6d 6f 73 70 68 65 72 69 63 20 64 69 73 70 65 DD>Most.of.the.atmospheric.dispe
1b0340 72 73 69 6f 6e 20 68 61 70 70 65 6e 73 20 62 65 74 77 65 65 6e 20 3c 49 4d 47 20 57 49 44 54 48 rsion.happens.between.<IMG.WIDTH
1b0360 3d 22 35 30 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 ="50".HEIGHT="25".ALIGN="MIDDLE"
1b0380 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 34 2e 67 69 66 22 0a 20 41 4c .BORDER="0"..SRC="img34.gif"..AL
1b03a0 54 3d 22 24 30 2e 37 5c 2c 5c 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 20 20 20 20 20 20 20 20 61 6e T="$0.7\,\mu{\rm.m}$">........an
1b03c0 64 20 74 68 65 20 55 56 20 61 74 6d 6f 73 70 68 65 72 69 63 20 63 75 74 6f 66 66 2c 20 61 6e 64 d.the.UV.atmospheric.cutoff,.and
1b03e0 20 74 68 65 20 65 66 66 65 63 74 20 69 6e 63 72 65 61 73 65 73 20 73 74 72 6f 6e 67 6c 79 0a 20 .the.effect.increases.strongly..
1b0400 20 20 20 20 20 20 20 74 6f 77 61 72 64 73 20 74 68 65 20 55 56 20 65 6e 64 2e 20 20 46 6f 72 20 .......towards.the.UV.end...For.
1b0420 74 68 69 73 20 72 65 61 73 6f 6e 20 61 20 62 6c 75 65 20 72 65 66 65 72 65 6e 63 65 20 77 61 76 this.reason.a.blue.reference.wav
1b0440 65 6c 65 6e 67 74 68 0a 20 20 20 20 20 20 20 20 69 73 20 72 65 63 6f 6d 6d 65 6e 64 65 64 2c 20 elength.........is.recommended,.
1b0460 66 6f 72 20 65 78 61 6d 70 6c 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 35 30 22 20 48 45 49 47 for.example.<IMG.WIDTH="50".HEIG
1b0480 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 HT="25".ALIGN="MIDDLE".BORDER="0
1b04a0 22 0a 20 53 52 43 3d 22 69 6d 67 33 35 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 30 2e 34 5c 2c 5c "..SRC="img35.gif"..ALT="$0.4\,\
1b04c0 6d 75 7b 5c 72 6d 20 6d 7d 24 22 3e 2e 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 61 63 mu{\rm.m}$">...<DT>3..<DD>The.ac
1b04e0 63 75 72 61 63 79 2c 20 66 6f 72 20 74 68 69 73 20 73 65 74 20 6f 66 20 63 6f 6e 64 69 74 69 6f curacy,.for.this.set.of.conditio
1b0500 6e 73 3a 20 3c 42 52 3e 0a 3c 42 52 3e 0a 20 20 20 20 20 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 ns:.<BR>.<BR>......<TABLE.CELLPA
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1b0540 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 68 65 69 67 68 74 20 61 62 6f 76 65 20 IGN="RIGHT".NOWRAP>height.above.
1b0560 73 65 61 20 6c 65 76 65 6c 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 45 52 sea.level</TD>.<TD.ALIGN="CENTER
1b0580 22 20 4e 4f 57 52 41 50 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 ".NOWRAP>&nbsp;</TD>.<TD.ALIGN="
1b05a0 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 32 30 30 30 6d 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 LEFT".NOWRAP>2000m</TD>.</TR>.<T
1b05c0 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 R.VALIGN="TOP"><TD.ALIGN="RIGHT"
1b05e0 20 4e 4f 57 52 41 50 3e 6c 61 74 69 74 75 64 65 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d .NOWRAP>latitude</TD>.<TD.ALIGN=
1b0600 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 44 20 "CENTER".NOWRAP>&nbsp;</TD>.<TD.
1b0620 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 ALIGN="LEFT".NOWRAP><IMG.WIDTH="
1b0640 32 36 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 26".HEIGHT="14".ALIGN="BOTTOM".B
1b0660 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 36 2e 67 69 66 22 0a 20 41 4c 54 3d ORDER="0"..SRC="img36.gif"..ALT=
1b0680 22 24 32 39 5e 5c 63 69 72 63 24 22 3e 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c "$29^\circ$"></TD>.</TR>.<TR.VAL
1b06a0 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 IGN="TOP"><TD.ALIGN="RIGHT".NOWR
1b06c0 41 50 3e 70 72 65 73 73 75 72 65 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 43 45 4e 54 AP>pressure</TD>.<TD.ALIGN="CENT
1b06e0 45 52 22 20 4e 4f 57 52 41 50 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e ER".NOWRAP>&nbsp;</TD>.<TD.ALIGN
1b0700 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 37 39 33 6d 42 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a ="LEFT".NOWRAP>793mB</TD>.</TR>.
1b0720 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 <TR.VALIGN="TOP"><TD.ALIGN="RIGH
1b0740 54 22 20 4e 4f 57 52 41 50 3e 74 65 6d 70 65 72 61 74 75 72 65 3c 2f 54 44 3e 0a 3c 54 44 20 41 T".NOWRAP>temperature</TD>.<TD.A
1b0760 4c 49 47 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e LIGN="CENTER".NOWRAP>&nbsp;</TD>
1b0780 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 3c 49 4d 47 20 57 49 .<TD.ALIGN="LEFT".NOWRAP><IMG.WI
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1b07c0 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 33 37 2e 67 69 66 22 0a OM".BORDER="0"..SRC="img37.gif".
1b07e0 20 41 4c 54 3d 22 24 32 39 30 5e 5c 63 69 72 63 24 22 3e 4b 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a .ALT="$290^\circ$">K</TD>.</TR>.
1b0800 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 52 49 47 48 <TR.VALIGN="TOP"><TD.ALIGN="RIGH
1b0820 54 22 20 4e 4f 57 52 41 50 3e 68 75 6d 69 64 69 74 79 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 T".NOWRAP>humidity</TD>.<TD.ALIG
1b0840 4e 3d 22 43 45 4e 54 45 52 22 20 4e 4f 57 52 41 50 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 N="CENTER".NOWRAP>&nbsp;</TD>.<T
1b0860 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 30 2e 35 20 28 35 30 25 29 3c D.ALIGN="LEFT".NOWRAP>0.5.(50%)<
1b0880 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
1b08a0 41 4c 49 47 4e 3d 22 52 49 47 48 54 22 20 4e 4f 57 52 41 50 3e 6c 61 70 73 65 20 72 61 74 65 3c ALIGN="RIGHT".NOWRAP>lapse.rate<
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1b6440 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e ><B></B></TD>.<TD.ALIGN="LEFT".N
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1b9320 41 73 74 72 6f 6e 6f 6d 79 20 4c 69 62 72 61 72 79 3c 42 52 3e 53 74 61 72 6c 69 6e 6b 20 55 73 Astronomy.Library<BR>Starlink.Us
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1b9360 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d 6d 61 69 6c 3a 70 74 77 40 73 74 61 2.October.1999<BR>E-mail:ptw@sta
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1bc760 2f 48 32 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 /H2>........<DL>.<DT><STRONG>ACT
1bc780 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 43 6f 6e 76 65 72 74 20 61 6e 20 69 6e 74 ION:</STRONG>.<DD>Convert.an.int
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1bc7c0 20 73 65 63 6f 6e 64 73 0a 28 73 69 6e 67 6c 65 20 70 72 65 63 69 73 69 6f 6e 29 2e 0a 3c 50 3e .seconds.(single.precision)..<P>
1bc7e0 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c ....<DT><STRONG>CALL:</STRONG>.<
1bc800 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 43 44 32 54 46 20 28 4e 44 50 2c 20 44 41 59 53 DD><TT>CALL.sla_CD2TF.(NDP,.DAYS
1bc820 2c 20 53 49 47 4e 2c 20 49 48 4d 53 46 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f ,.SIGN,.IHMSF)</TT>.<P>.......</
1bc840 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 DL>.<P>.....<DL>.<DT><STRONG>GIV
1bc860 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 EN:</STRONG>.<DD>.<BR>.<TABLE.CE
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1bc8a0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4e 44 50 3c 2f 45 4d 3e 3c 2f 54 44 3e D.ALIGN="LEFT"><EM>NDP</EM></TD>
1bc8c0 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 48 3e 0a .<TH.ALIGN="LEFT"><B>I</B></TH>.
1bc8e0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6e 75 6d 62 65 72 20 6f <TD.ALIGN="LEFT".NOWRAP>number.o
1bc900 66 20 64 65 63 69 6d 61 6c 20 70 6c 61 63 65 73 20 6f 66 20 73 65 63 6f 6e 64 73 3c 2f 54 44 3e f.decimal.places.of.seconds</TD>
1bc920 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 .</TR>.<TR.VALIGN="TOP"><TD.ALIG
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1bc960 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 ALIGN="LEFT"><B>R</B></TD>.<TD.A
1bc980 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 69 6e 74 65 72 76 61 6c 20 69 6e 20 64 LIGN="LEFT".NOWRAP>interval.in.d
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1bc9c0 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c .....<DL>.<DT><STRONG>RETURNED:<
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1bca00 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c DDING=3>.<TR.VALIGN="TOP"><TD.AL
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1bca40 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 43 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 H.ALIGN="LEFT"><B>C</B></TH>.<TD
1bca60 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 60 2b 27 20 6f 72 20 60 2d 27 3c .ALIGN="LEFT".NOWRAP>`+'.or.`-'<
1bca80 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
1bcaa0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 49 48 4d 53 46 3c 2f 45 4d 3e 3c 2f 54 44 3e ALIGN="LEFT"><EM>IHMSF</EM></TD>
1bcac0 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 28 34 29 3c 2f 42 3e 3c 2f 54 .<TD.ALIGN="LEFT"><B>I(4)</B></T
1bcae0 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 68 6f 75 72 73 D>.<TD.ALIGN="LEFT".NOWRAP>hours
1bcb00 2c 20 6d 69 6e 75 74 65 73 2c 20 73 65 63 6f 6e 64 73 2c 20 66 72 61 63 74 69 6f 6e 3c 2f 54 44 ,.minutes,.seconds,.fraction</TD
1bcb20 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c >.</TR>.</TABLE></DL>.<P>......<
1bcb40 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a DL>.<DT><STRONG>NOTES:</STRONG>.
1bcb60 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 4e 44 50 20 <DD><DL.COMPACT>.<DT>1..<DD>NDP.
1bcb80 6c 65 73 73 20 74 68 61 6e 20 7a 65 72 6f 20 69 73 20 69 6e 74 65 72 70 72 65 74 65 64 20 61 73 less.than.zero.is.interpreted.as
1bcba0 20 7a 65 72 6f 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 6c 61 72 67 65 73 74 20 75 73 .zero..<DT>2..<DD>The.largest.us
1bcbc0 65 66 75 6c 20 76 61 6c 75 65 20 66 6f 72 20 4e 44 50 20 69 73 20 64 65 74 65 72 6d 69 6e 65 64 eful.value.for.NDP.is.determined
1bcbe0 20 62 79 20 74 68 65 20 73 69 7a 65 20 6f 66 0a 44 41 59 53 2c 20 74 68 65 20 66 6f 72 6d 61 74 .by.the.size.of.DAYS,.the.format
1bcc00 20 6f 66 20 52 45 41 4c 20 66 6c 6f 61 74 69 6e 67 2d 70 6f 69 6e 74 20 6e 75 6d 62 65 72 73 20 .of.REAL.floating-point.numbers.
1bcc20 6f 6e 20 74 68 65 20 74 61 72 67 65 74 0a 20 20 20 20 20 20 20 20 6d 61 63 68 69 6e 65 2c 20 61 on.the.target.........machine,.a
1bcc40 6e 64 20 74 68 65 20 72 69 73 6b 20 6f 66 20 6f 76 65 72 66 6c 6f 77 69 6e 67 20 49 48 4d 53 46 nd.the.risk.of.overflowing.IHMSF
1bcc60 28 34 29 2e 20 20 46 6f 72 20 65 78 61 6d 70 6c 65 2c 0a 20 20 20 20 20 20 20 20 6f 6e 20 61 20 (4)...For.example,.........on.a.
1bcc80 56 41 58 20 63 6f 6d 70 75 74 65 72 2c 20 66 6f 72 20 44 41 59 53 20 75 70 20 74 6f 20 31 2e 30 VAX.computer,.for.DAYS.up.to.1.0
1bcca0 2c 20 74 68 65 20 61 76 61 69 6c 61 62 6c 65 20 66 6c 6f 61 74 69 6e 67 2d 70 6f 69 6e 74 0a 20 ,.the.available.floating-point..
1bccc0 20 20 20 20 20 20 20 70 72 65 63 69 73 69 6f 6e 20 63 6f 72 72 65 73 70 6f 6e 64 73 20 72 6f 75 .......precision.corresponds.rou
1bcce0 67 68 6c 79 20 74 6f 20 4e 44 50 3d 33 2e 20 20 54 68 69 73 20 69 73 20 77 65 6c 6c 20 62 65 6c ghly.to.NDP=3...This.is.well.bel
1bcd00 6f 77 0a 20 20 20 20 20 20 20 20 74 68 65 20 75 6c 74 69 6d 61 74 65 20 6c 69 6d 69 74 20 6f 66 ow.........the.ultimate.limit.of
1bcd20 20 4e 44 50 3d 39 20 73 65 74 20 62 79 20 74 68 65 20 63 61 70 61 63 69 74 79 20 6f 66 20 74 68 .NDP=9.set.by.the.capacity.of.th
1bcd40 65 20 33 32 2d 62 69 74 0a 20 20 20 20 20 20 20 20 69 6e 74 65 67 65 72 20 49 48 4d 53 46 28 34 e.32-bit.........integer.IHMSF(4
1bcd60 29 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 61 62 73 6f 6c 75 74 65 20 76 61 6c )....<DT>3..<DD>The.absolute.val
1bcd80 75 65 20 6f 66 20 44 41 59 53 20 6d 61 79 20 65 78 63 65 65 64 20 31 2e 30 2e 20 20 49 6e 20 63 ue.of.DAYS.may.exceed.1.0...In.c
1bcda0 61 73 65 73 20 77 68 65 72 65 20 69 74 0a 20 20 20 20 20 20 20 20 64 6f 65 73 20 6e 6f 74 2c 20 ases.where.it.........does.not,.
1bcdc0 69 74 20 69 73 20 75 70 20 74 6f 20 74 68 65 20 63 61 6c 6c 65 72 20 74 6f 20 74 65 73 74 20 66 it.is.up.to.the.caller.to.test.f
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1c2400 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 37 38 35 22 20 48 52 45 46 3d 22 6e 6f 64 65 31 A.NAME="tex2html785".HREF="node1
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1c2440 53 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e 20 50 72 65 76 69 6f 75 73 3a 3c 2f 42 3e 20 3c 41 20 S</A>.<BR>.<B>.Previous:</B>.<A.
1c2460 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c 37 37 39 22 20 48 52 45 46 3d 22 6e 6f 64 65 33 35 2e NAME="tex2html779".HREF="node35.
1c2480 68 74 6d 6c 22 3e 53 4c 41 5f 43 4f 4d 42 4e 20 2d 20 4e 65 78 74 20 43 6f 6d 62 69 6e 61 74 69 html">SLA_COMBN.-.Next.Combinati
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1c2580 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a L>.<DT><STRONG>ACTION:</STRONG>.
1c25a0 3c 44 44 3e 43 6f 6e 76 65 72 74 20 61 6e 20 61 6e 67 6c 65 20 69 6e 20 72 61 64 69 61 6e 73 20 <DD>Convert.an.angle.in.radians.
1c25c0 74 6f 20 64 65 67 72 65 65 73 2c 20 61 72 63 6d 69 6e 75 74 65 73 2c 0a 61 72 63 73 65 63 6f 6e to.degrees,.arcminutes,.arcsecon
1c25e0 64 73 20 28 73 69 6e 67 6c 65 20 70 72 65 63 69 73 69 6f 6e 29 2e 0a 3c 50 3e 20 20 20 20 3c 44 ds.(single.precision)..<P>....<D
1c2600 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 T><STRONG>CALL:</STRONG>.<DD><TT
1c2620 3e 43 41 4c 4c 20 73 6c 61 5f 43 52 32 41 46 20 28 4e 44 50 2c 20 41 4e 47 4c 45 2c 20 53 49 47 >CALL.sla_CR2AF.(NDP,.ANGLE,.SIG
1c2640 4e 2c 20 49 44 4d 53 46 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c N,.IDMSF)</TT>.<P>.......</DL>.<
1c2660 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f P>.....<DL>.<DT><STRONG>GIVEN:</
1c2680 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 STRONG>.<DD>.<BR>.<TABLE.CELLPAD
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1c26c0 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4e 44 50 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 GN="LEFT"><EM>NDP</EM></TD>.<TH.
1c26e0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 ALIGN="LEFT"><B>I</B></TH>.<TD.A
1c2700 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6e 75 6d 62 65 72 20 6f 66 20 64 65 63 LIGN="LEFT".NOWRAP>number.of.dec
1c2720 69 6d 61 6c 20 70 6c 61 63 65 73 20 6f 66 20 61 72 63 73 65 63 6f 6e 64 73 3c 2f 54 44 3e 0a 3c imal.places.of.arcseconds</TD>.<
1c2740 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d /TR>.<TR.VALIGN="TOP"><TD.ALIGN=
1c2760 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 4e 47 4c 45 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 "LEFT"><EM>ANGLE</EM></TD>.<TD.A
1c2780 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c LIGN="LEFT"><B>R</B></TD>.<TD.AL
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1c27c0 6e 73 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 ns</TD>.</TR>.</TABLE></DL>.<P>.
1c27e0 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f ....<DL>.<DT><STRONG>RETURNED:</
1c2800 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 STRONG>.<DD>.<BR>.<TABLE.CELLPAD
1c2820 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 DING=3>.<TR.VALIGN="TOP"><TD.ALI
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1c2860 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 43 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>C</B></TH>.<TD.
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1c28a0 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
1c28c0 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 49 44 4d 53 46 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a LIGN="LEFT"><EM>IDMSF</EM></TD>.
1c28e0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 28 34 29 3c 2f 42 3e 3c 2f 54 44 <TD.ALIGN="LEFT"><B>I(4)</B></TD
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1c2940 69 6f 6e 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e ion</TD>.</TR>.</TABLE></DL>.<P>
1c2960 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 ......<DL>.<DT><STRONG>NOTES:</S
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1c29a0 44 44 3e 4e 44 50 20 6c 65 73 73 20 74 68 61 6e 20 7a 65 72 6f 20 69 73 20 69 6e 74 65 72 70 72 DD>NDP.less.than.zero.is.interpr
1c29c0 65 74 65 64 20 61 73 20 7a 65 72 6f 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 6c 61 72 eted.as.zero..<DT>2..<DD>The.lar
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1c2a60 63 68 69 6e 65 2c 20 61 6e 64 20 74 68 65 20 72 69 73 6b 20 6f 66 20 6f 76 65 72 66 6c 6f 77 69 chine,.and.the.risk.of.overflowi
1c2a80 6e 67 20 49 44 4d 53 46 28 34 29 2e 20 20 46 6f 72 20 65 78 61 6d 70 6c 65 2c 0a 20 20 20 20 20 ng.IDMSF(4)...For.example,......
1c2aa0 20 20 20 6f 6e 20 61 20 56 41 58 20 63 6f 6d 70 75 74 65 72 2c 20 66 6f 72 20 41 4e 47 4c 45 20 ...on.a.VAX.computer,.for.ANGLE.
1c2ac0 75 70 20 74 6f 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 30 22 20 48 45 49 47 48 54 3d 22 31 34 up.to.<IMG.WIDTH="20".HEIGHT="14
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1c2b20 20 61 76 61 69 6c 61 62 6c 65 20 66 6c 6f 61 74 69 6e 67 2d 70 6f 69 6e 74 0a 20 20 20 20 20 20 .available.floating-point.......
1c2b40 20 20 70 72 65 63 69 73 69 6f 6e 20 63 6f 72 72 65 73 70 6f 6e 64 73 20 72 6f 75 67 68 6c 79 20 ..precision.corresponds.roughly.
1c2b60 74 6f 20 4e 44 50 3d 33 2e 20 20 54 68 69 73 20 69 73 20 77 65 6c 6c 20 62 65 6c 6f 77 0a 20 20 to.NDP=3...This.is.well.below...
1c2b80 20 20 20 20 20 20 74 68 65 20 75 6c 74 69 6d 61 74 65 20 6c 69 6d 69 74 20 6f 66 20 4e 44 50 3d ......the.ultimate.limit.of.NDP=
1c2ba0 39 20 73 65 74 20 62 79 20 74 68 65 20 63 61 70 61 63 69 74 79 20 6f 66 20 74 68 65 20 33 32 2d 9.set.by.the.capacity.of.the.32-
1c2bc0 62 69 74 0a 20 20 20 20 20 20 20 20 69 6e 74 65 67 65 72 20 49 48 4d 53 46 28 34 29 2e 0a 20 20 bit.........integer.IHMSF(4)....
1c2be0 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 61 62 73 6f 6c 75 74 65 20 76 61 6c 75 65 20 6f 66 <DT>3..<DD>The.absolute.value.of
1c2c00 20 41 4e 47 4c 45 20 6d 61 79 20 65 78 63 65 65 64 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 30 .ANGLE.may.exceed.<IMG.WIDTH="20
1c2c20 22 20 48 45 49 47 48 54 3d 22 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 ".HEIGHT="14".ALIGN="BOTTOM".BOR
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1c2cc0 20 20 20 20 20 20 20 20 63 61 73 65 20 77 68 65 72 65 20 41 4e 47 4c 45 20 69 73 20 76 65 72 79 ........case.where.ANGLE.is.very
1c2ce0 20 6e 65 61 72 6c 79 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 30 22 20 48 45 49 47 48 54 3d 22 .nearly.<IMG.WIDTH="20".HEIGHT="
1c2d00 31 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 14".ALIGN="BOTTOM".BORDER="0"..S
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1c2d40 64 20 72 6f 75 6e 64 73 20 75 70 20 74 6f 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 33 34 22 20 48 d.rounds.up.to.<IMG.WIDTH="34".H
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1c2d80 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 33 36 30 ="0"..SRC="img53.gif"..ALT="$360
1c2da0 5e 7b 5c 63 69 72 63 7d 24 22 3e 2c 20 20 20 20 20 20 20 20 62 79 20 74 65 73 74 69 6e 67 20 66 ^{\circ}$">,........by.testing.f
1c2dc0 6f 72 20 49 44 4d 53 46 28 31 29 3d 33 36 30 20 61 6e 64 20 73 65 74 74 69 6e 67 20 49 44 4d 53 or.IDMSF(1)=360.and.setting.IDMS
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1c3000 0a 3c 42 52 3e 0a 3c 42 3e 20 4e 65 78 74 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 .<BR>.<B>.Next:</B>.<A.NAME="tex
1c3020 32 68 74 6d 6c 37 38 37 22 20 48 52 45 46 3d 22 6e 6f 64 65 33 37 2e 68 74 6d 6c 22 3e 53 4c 41 2html787".HREF="node37.html">SLA
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1c7460 4a 75 6c 79 20 31 33 74 68 2c 20 31 39 39 37 29 0a 20 62 79 20 4e 69 6b 6f 73 20 44 72 61 6b 6f July.13th,.1997)..by.Nikos.Drako
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1c7980 36 22 20 48 52 45 46 3d 22 6e 6f 64 65 35 2e 68 74 6d 6c 22 3e 53 63 6f 70 65 3c 2f 41 3e 0a 3c 6".HREF="node5.html">Scope</A>.<
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1c79c0 32 38 34 22 20 48 52 45 46 3d 22 6e 6f 64 65 32 2e 68 74 6d 6c 22 3e 49 4e 54 52 4f 44 55 43 54 284".HREF="node2.html">INTRODUCT
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1c7a40 0a 3c 50 3e 3c 21 2d 2d 45 6e 64 20 6f 66 20 4e 61 76 69 67 61 74 69 6f 6e 20 50 61 6e 65 6c 2d .<P><!--End.of.Navigation.Panel-
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1c7ba0 20 20 2a 0a 20 20 20 20 20 20 20 20 20 49 4d 50 4c 49 43 49 54 20 4e 4f 4e 45 0a 20 20 20 20 20 ..*..........IMPLICIT.NONE......
1c7bc0 20 20 20 20 43 48 41 52 41 43 54 45 52 20 43 2a 38 30 2c 53 0a 20 20 20 20 20 20 20 20 20 49 4e ....CHARACTER.C*80,S..........IN
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1c7c00 20 20 20 20 20 44 4f 55 42 4c 45 20 50 52 45 43 49 53 49 4f 4e 20 52 34 2c 44 34 2c 52 35 2c 44 .....DOUBLE.PRECISION.R4,D4,R5,D
1c7c20 35 0a 20 20 20 20 20 20 20 20 20 4c 4f 47 49 43 41 4c 20 42 41 44 0a 0a 20 20 20 2a 20 20 20 4c 5..........LOGICAL.BAD.....*...L
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1c7d20 74 68 65 20 52 41 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 20 3d 20 31 0a 20 20 20 20 the.RA................I.=.1.....
1c7d40 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 41 46 49 4e 28 43 2c 49 2c 52 34 ...........CALL.sla_DAFIN(C,I,R4
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1c7da0 52 34 0a 0a 20 20 20 2a 20 20 20 20 20 20 20 20 20 20 20 44 65 63 6f 64 65 20 74 68 65 20 44 65 R4.....*...........Decode.the.De
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1c7de0 49 4e 28 43 2c 49 2c 44 34 2c 4a 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 IN(C,I,D4,J)...................I
1c7e00 46 20 28 4a 2e 45 51 2e 30 29 20 54 48 45 4e 0a 0a 20 20 20 2a 20 20 20 20 20 20 20 20 20 20 20 F.(J.EQ.0).THEN.....*...........
1c7e20 20 20 20 46 4b 34 20 74 6f 20 46 4b 35 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ...FK4.to.FK5...................
1c7e40 20 20 20 43 41 4c 4c 20 73 6c 61 5f 46 4b 34 35 5a 28 52 34 2c 44 34 2c 31 39 35 30 44 30 2c 52 ...CALL.sla_FK45Z(R4,D4,1950D0,R
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1c7e80 61 6e 64 20 6f 75 74 70 75 74 20 74 68 65 20 72 65 73 75 6c 74 0a 20 20 20 20 20 20 20 20 20 20 and.output.the.result...........
1c7ea0 20 20 20 20 20 20 20 20 20 20 20 43 41 4c 4c 20 73 6c 61 5f 44 52 32 54 46 28 32 2c 52 35 2c 53 ...........CALL.sla_DR2TF(2,R5,S
1c7ec0 2c 49 48 4d 53 46 29 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 43 41 4c ,IHMSF)......................CAL
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1c7f60 20 20 20 20 20 20 20 20 3a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 ........:.......................
1c7f80 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 49 48 ..............................IH
1c7fa0 4d 53 46 2c 53 2c 49 44 4d 53 46 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 MSF,S,IDMSF.....................
1c7fc0 20 42 41 44 20 3d 20 2e 46 41 4c 53 45 2e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 .BAD.=..FALSE...................
1c7fe0 20 45 4e 44 20 49 46 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 45 4e 44 20 49 46 0a 20 20 .END.IF................END.IF...
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1c8060 50 52 45 3e 0a 49 6e 20 74 68 69 73 20 65 78 61 6d 70 6c 65 2c 20 53 4c 41 4c 49 42 20 6e 6f 74 PRE>.In.this.example,.SLALIB.not
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1c82a0 6c 69 74 74 6c 65 20 65 78 74 72 61 20 65 6c 61 62 6f 72 61 74 69 6f 6e 20 61 6e 64 20 61 20 66 little.extra.elaboration.and.a.f
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1cdb80 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 49 3e 61 72 67 75 6d 65 6e 74 3c 2f 49 3e <TH.ALIGN="LEFT"><I>argument</I>
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1cdc20 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 .<TD.ALIGN="LEFT">&nbsp;</TD>.<T
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1cdc60 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 .<TR.VALIGN="TOP"><TD.ALIGN="LEF
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1cdca0 27 3c 63 6f 64 65 3e 2d 35 37 20 31 37 20 34 34 2e 38 30 36 20 20 31 32 20 33 34 20 35 36 2e 37 '<code>-57.17.44.806..12.34.56.7
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1cdce0 6e 63 68 61 6e 67 65 64 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 nchanged</TD>.</TR>.<TR.VALIGN="
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1d4140 20 61 6e 64 20 46 4b 35 20 64 61 74 61 2c 20 61 6c 6c 6f 77 69 6e 67 20 66 69 65 6c 64 73 20 73 .and.FK5.data,.allowing.fields.s
1d4160 75 63 68 20 61 73 20 60 42 31 39 35 30 27 20 6f 72 20 60 4a 32 30 30 30 27 0a 74 6f 20 62 65 20 uch.as.`B1950'.or.`J2000'.to.be.
1d4180 64 65 63 6f 64 65 64 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 49 6e 20 61 64 64 69 74 69 6f decoded....<DT>2..<DD>In.additio
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1d41c0 44 46 4c 54 49 4e 2c 0a 20 20 20 20 20 20 20 20 74 68 65 20 66 6f 6c 6c 6f 77 69 6e 67 20 74 77 DFLTIN,.........the.following.tw
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1d4200 6c 61 5f 44 42 4a 49 4e 3a 0a 20 20 20 20 20 20 20 20 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c la_DBJIN:.........<DL.COMPACT>.<
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1d8a60 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e P>....<DT><STRONG>CALL:</STRONG>
1d8a80 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 44 43 4d 50 46 20 28 43 4f 45 46 46 53 2c .<DD><TT>CALL.sla_DCMPF.(COEFFS,
1d8aa0 58 5a 2c 59 5a 2c 58 53 2c 59 53 2c 50 45 52 50 2c 4f 52 49 45 4e 54 29 3c 2f 54 54 3e 0a 3c 50 XZ,YZ,XS,YS,PERP,ORIENT)</TT>.<P
1d8ac0 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c >.......</DL>.<P>.....<DL>.<DT><
1d8ae0 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e STRONG>GIVEN:</STRONG>.<DD>.<BR>
1d8b00 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 .<TABLE.CELLPADDING=3>.<TR.VALIG
1d8b20 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 43 4f 45 N="TOP"><TD.ALIGN="LEFT"><EM>COE
1d8b40 46 46 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c FFS</EM></TD>.<TH.ALIGN="LEFT"><
1d8b60 42 3e 44 28 36 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 B>D(6)</B></TH>.<TD.ALIGN="LEFT"
1d8b80 20 4e 4f 57 52 41 50 3e 74 72 61 6e 73 66 6f 72 6d 61 74 69 6f 6e 20 63 6f 65 66 66 69 63 69 65 .NOWRAP>transformation.coefficie
1d8ba0 6e 74 73 20 28 73 65 65 20 6e 6f 74 65 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c nts.(see.note)</TD>.</TR>.</TABL
1d8bc0 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 E></DL>.<P>.....<DL>.<DT><STRONG
1d8be0 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 >RETURNED:</STRONG>.<DD>.<BR>.<T
1d8c00 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 ABLE.CELLPADDING=3>.<TR.VALIGN="
1d8c20 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 58 5a 3c 2f 45 4d TOP"><TD.ALIGN="LEFT"><EM>XZ</EM
1d8c40 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e ></TD>.<TH.ALIGN="LEFT"><B>D</B>
1d8c60 3c 2f 54 48 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 3c 49 </TH>.<TH.ALIGN="LEFT".NOWRAP><I
1d8c80 3e 78 3c 2f 49 3e 20 7a 65 72 6f 20 70 6f 69 6e 74 3c 2f 54 48 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 >x</I>.zero.point</TH>.</TR>.<TR
1d8ca0 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c .VALIGN="TOP"><TD.ALIGN="LEFT"><
1d8cc0 45 4d 3e 59 5a 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 EM>YZ</EM></TD>.<TD.ALIGN="LEFT"
1d8ce0 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>D</B></TD>.<TD.ALIGN="LEFT".
1d8d00 4e 4f 57 52 41 50 3e 3c 49 3e 79 3c 2f 49 3e 20 7a 65 72 6f 20 70 6f 69 6e 74 3c 2f 54 44 3e 0a NOWRAP><I>y</I>.zero.point</TD>.
1d8d20 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
1d8d40 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 58 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 ="LEFT"><EM>XS</EM></TD>.<TD.ALI
1d8d60 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>D</B></TD>.<TD.ALIG
1d8d80 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 3c 49 3e 78 3c 2f 49 3e 20 73 63 61 6c 65 3c 2f N="LEFT".NOWRAP><I>x</I>.scale</
1d8da0 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 TD>.</TR>.<TR.VALIGN="TOP"><TD.A
1d8dc0 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 59 53 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 LIGN="LEFT"><EM>YS</EM></TD>.<TD
1d8de0 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>D</B></TD>.<TD.
1d8e00 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 3c 49 3e 79 3c 2f 49 3e 20 73 63 61 ALIGN="LEFT".NOWRAP><I>y</I>.sca
1d8e20 6c 65 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c le</TD>.</TR>.<TR.VALIGN="TOP"><
1d8e40 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 45 52 50 3c 2f 45 4d 3e 3c 2f 54 TD.ALIGN="LEFT"><EM>PERP</EM></T
1d8e60 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 D>.<TD.ALIGN="LEFT"><B>D</B></TD
1d8e80 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6e 6f 6e 70 65 72 >.<TD.ALIGN="LEFT".NOWRAP>nonper
1d8ea0 70 65 6e 64 69 63 75 6c 61 72 69 74 79 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 pendicularity.(radians)</TD>.</T
1d8ec0 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c R>.<TR.VALIGN="TOP"><TD.ALIGN="L
1d8ee0 45 46 54 22 3e 3c 45 4d 3e 4f 52 49 45 4e 54 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c EFT"><EM>ORIENT</EM></TD>.<TD.AL
1d8f00 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 IGN="LEFT"><B>D</B></TD>.<TD.ALI
1d8f20 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6f 72 69 65 6e 74 61 74 69 6f 6e 20 28 72 61 GN="LEFT".NOWRAP>orientation.(ra
1d8f40 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a dians)</TD>.</TR>.</TABLE></DL>.
1d8f60 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a <P>......<DL>.<DT><STRONG>NOTES:
1d8f80 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 </STRONG>.<DD><DL.COMPACT>.<DT>1
1d8fa0 2e 0a 3c 44 44 3e 54 68 65 20 6d 6f 64 65 6c 20 72 65 6c 61 74 65 73 20 74 77 6f 20 73 65 74 73 ..<DD>The.model.relates.two.sets
1d8fc0 20 6f 66 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 32 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 .of.<IMG.WIDTH="42".HEIGHT="29".
1d8fe0 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 ALIGN="MIDDLE".BORDER="0"..SRC="
1d9000 69 6d 67 32 30 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b 5c 2c 78 2c 79 5c 2c 5d 24 22 3e 20 63 img20.gif"..ALT="$[\,x,y\,]$">.c
1d9020 6f 6f 72 64 69 6e 61 74 65 73 20 61 73 20 66 6f 6c 6c 6f 77 73 2e 0a 4e 61 6d 69 6e 67 20 74 68 oordinates.as.follows..Naming.th
1d9040 65 20 73 69 78 20 65 6c 65 6d 65 6e 74 73 20 6f 66 20 43 4f 45 46 46 53 20 3c 49 3e 61 3c 2f 49 e.six.elements.of.COEFFS.<I>a</I
1d9060 3e 2c 3c 49 3e 62 3c 2f 49 3e 2c 3c 49 3e 63 3c 2f 49 3e 2c 3c 49 3e 64 3c 2f 49 3e 2c 3c 49 3e >,<I>b</I>,<I>c</I>,<I>d</I>,<I>
1d9080 65 3c 2f 49 3e 20 26 61 6d 70 3b 20 3c 49 3e 66 3c 2f 49 3e 2c 0a 74 68 65 20 6d 6f 64 65 6c 20 e</I>.&amp;.<I>f</I>,.the.model.
1d90a0 74 72 61 6e 73 66 6f 72 6d 73 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 3c 49 4d 47 20 57 49 44 54 transforms.coordinates.<IMG.WIDT
1d90c0 48 3d 22 35 33 22 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 H="53".HEIGHT="29".ALIGN="MIDDLE
1d90e0 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 35 2e 67 69 66 22 0a 20 41 ".BORDER="0"..SRC="img55.gif"..A
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1d9120 72 64 69 6e 61 74 65 73 0a 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 35 33 22 rdinates.........<IMG.WIDTH="53"
1d9140 20 48 45 49 47 48 54 3d 22 32 39 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 .HEIGHT="29".ALIGN="MIDDLE".BORD
1d9160 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 36 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5b ER="0"..SRC="img56.gif"..ALT="$[
1d9180 78 5f 7b 32 7d 2c 79 5f 7b 32 7d 5c 2c 5d 24 22 3e 20 61 73 20 66 6f 6c 6c 6f 77 73 3a 0a 20 20 x_{2},y_{2}\,]$">.as.follows:...
1d91a0 20 20 20 20 20 20 3c 42 4c 4f 43 4b 51 55 4f 54 45 3e 3c 49 3e 78 3c 53 55 42 3e 32 3c 2f 53 55 ......<BLOCKQUOTE><I>x<SUB>2</SU
1d91c0 42 3e 3c 2f 49 3e 20 3d 20 3c 49 3e 61 3c 2f 49 3e 20 2b 20 3c 49 3e 62 78 3c 53 55 42 3e 31 3c B></I>.=.<I>a</I>.+.<I>bx<SUB>1<
1d91e0 2f 53 55 42 3e 3c 2f 49 3e 20 2b 20 3c 49 3e 63 79 3c 53 55 42 3e 31 3c 2f 53 55 42 3e 3c 2f 49 /SUB></I>.+.<I>cy<SUB>1</SUB></I
1d9200 3e 20 3c 42 52 3e 0a 20 20 20 20 20 20 20 20 20 3c 49 3e 79 3c 53 55 42 3e 32 3c 2f 53 55 42 3e >.<BR>..........<I>y<SUB>2</SUB>
1d9220 3c 2f 49 3e 20 3d 20 3c 49 3e 64 3c 2f 49 3e 20 2b 20 3c 49 3e 65 78 3c 53 55 42 3e 31 3c 2f 53 </I>.=.<I>d</I>.+.<I>ex<SUB>1</S
1d9240 55 42 3e 3c 2f 49 3e 20 2b 20 3c 49 3e 66 79 3c 53 55 42 3e 31 3c 2f 53 55 42 3e 3c 2f 49 3e 3c UB></I>.+.<I>fy<SUB>1</SUB></I><
1d9260 2f 42 4c 4f 43 4b 51 55 4f 54 45 3e 0a 20 20 20 20 20 20 20 20 54 68 65 20 73 6c 61 5f 44 43 4d /BLOCKQUOTE>.........The.sla_DCM
1d9280 50 46 20 72 6f 75 74 69 6e 65 20 64 65 63 6f 6d 70 6f 73 65 73 20 74 68 69 73 20 74 72 61 6e 73 PF.routine.decomposes.this.trans
1d92a0 66 6f 72 6d 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 69 6e 74 6f 20 66 6f 75 72 20 73 74 65 70 formation.........into.four.step
1d92c0 73 3a 0a 20 20 20 20 20 20 20 20 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 28 61 29 0a s:.........<DL.COMPACT>.<DT>(a).
1d92e0 3c 44 44 3e 5a 65 72 6f 20 70 6f 69 6e 74 73 3a 0a 3c 42 4c 4f 43 4b 51 55 4f 54 45 3e 3c 49 4d <DD>Zero.points:.<BLOCKQUOTE><IM
1d9300 47 20 57 49 44 54 48 3d 22 39 36 22 20 48 45 49 47 48 54 3d 22 33 30 22 20 41 4c 49 47 4e 3d 22 G.WIDTH="96".HEIGHT="30".ALIGN="
1d9320 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 37 2e 67 MIDDLE".BORDER="0"..SRC="img57.g
1d9340 69 66 22 0a 20 41 4c 54 3d 22 24 78 27 20 3d 20 78 5f 7b 31 7d 20 2b 20 7b 5c 72 6d 20 58 5a 7d if"..ALT="$x'.=.x_{1}.+.{\rm.XZ}
1d9360 24 22 3e 20 3c 42 52 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 $">.<BR>................<IMG.WID
1d9380 54 48 3d 22 39 34 22 20 48 45 49 47 48 54 3d 22 33 30 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c TH="94".HEIGHT="30".ALIGN="MIDDL
1d93a0 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 35 38 2e 67 69 66 22 0a 20 E".BORDER="0"..SRC="img58.gif"..
1d93c0 41 4c 54 3d 22 24 79 27 20 3d 20 79 5f 7b 31 7d 20 2b 20 7b 5c 72 6d 20 59 5a 7d 24 22 3e 3c 2f ALT="$y'.=.y_{1}.+.{\rm.YZ}$"></
1d93e0 42 4c 4f 43 4b 51 55 4f 54 45 3e 0a 20 20 20 20 20 20 20 20 3c 44 54 3e 28 62 29 0a 3c 44 44 3e BLOCKQUOTE>.........<DT>(b).<DD>
1d9400 53 63 61 6c 65 73 3a 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 3c 42 4c 4f 43 4b 51 55 4f 54 Scales:...............<BLOCKQUOT
1d9420 45 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 37 36 22 20 48 45 49 47 48 54 3d 22 31 36 22 20 41 4c E><IMG.WIDTH="76".HEIGHT="16".AL
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1d9480 7d 24 22 3e 20 3c 42 52 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 }$">.<BR>................<IMG.WI
1d94a0 44 54 48 3d 22 37 34 22 20 48 45 49 47 48 54 3d 22 33 30 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 DTH="74".HEIGHT="30".ALIGN="MIDD
1d94c0 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 36 30 2e 67 69 66 22 0a LE".BORDER="0"..SRC="img60.gif".
1d94e0 20 41 4c 54 3d 22 24 79 27 27 20 3d 20 79 27 20 7b 5c 72 6d 20 59 53 7d 24 22 3e 3c 2f 42 4c 4f .ALT="$y''.=.y'.{\rm.YS}$"></BLO
1d9500 43 4b 51 55 4f 54 45 3e 0a 20 20 20 20 20 20 20 20 3c 44 54 3e 28 63 29 0a 3c 44 44 3e 4e 6f 6e CKQUOTE>.........<DT>(c).<DD>Non
1d9520 70 65 72 70 65 6e 64 69 63 75 6c 61 72 69 74 79 3a 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 perpendicularity:...............
1d9540 3c 42 4c 4f 43 4b 51 55 4f 54 45 3e 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 38 37 22 20 48 45 49 <BLOCKQUOTE><IMG.WIDTH="287".HEI
1d9560 47 48 54 3d 22 33 30 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 GHT="30".ALIGN="MIDDLE".BORDER="
1d9580 30 22 0a 20 53 52 43 3d 22 69 6d 67 36 31 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 78 27 27 27 20 0"..SRC="img61.gif"..ALT="$x'''.
1d95a0 3d 20 2b 20 78 27 27 20 5c 63 6f 73 20 7b 5c 72 6d 20 50 45 52 50 7d 2f 32 20 2b 20 79 27 27 20 =.+.x''.\cos.{\rm.PERP}/2.+.y''.
1d95c0 5c 73 69 6e 20 7b 5c 72 6d 20 50 45 52 50 7d 2f 32 24 22 3e 20 3c 42 52 3e 0a 20 20 20 20 20 20 \sin.{\rm.PERP}/2$">.<BR>.......
1d95e0 20 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 38 36 22 20 48 45 49 47 48 54 .........<IMG.WIDTH="286".HEIGHT
1d9600 3d 22 33 30 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a ="30".ALIGN="MIDDLE".BORDER="0".
1d9620 20 53 52 43 3d 22 69 6d 67 36 32 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 79 27 27 27 20 3d 20 2b .SRC="img62.gif"..ALT="$y'''.=.+
1d9640 20 78 27 27 20 5c 73 69 6e 20 7b 5c 72 6d 20 50 45 52 50 7d 2f 32 20 2b 20 79 27 27 20 5c 63 6f .x''.\sin.{\rm.PERP}/2.+.y''.\co
1d9660 73 20 7b 5c 72 6d 20 50 45 52 50 7d 2f 32 24 22 3e 3c 2f 42 4c 4f 43 4b 51 55 4f 54 45 3e 0a 20 s.{\rm.PERP}/2$"></BLOCKQUOTE>..
1d9680 20 20 20 20 20 20 20 3c 44 54 3e 28 64 29 0a 3c 44 44 3e 4f 72 69 65 6e 74 61 74 69 6f 6e 3a 0a .......<DT>(d).<DD>Orientation:.
1d96a0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 3c 42 4c 4f 43 4b 51 55 4f 54 45 3e 3c 49 4d 47 20 57 ..............<BLOCKQUOTE><IMG.W
1d96c0 49 44 54 48 3d 22 32 39 38 22 20 48 45 49 47 48 54 3d 22 33 30 22 20 41 4c 49 47 4e 3d 22 4d 49 IDTH="298".HEIGHT="30".ALIGN="MI
1d96e0 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 36 33 2e 67 69 66 DDLE".BORDER="0"..SRC="img63.gif
1d9700 22 0a 20 41 4c 54 3d 22 24 78 5f 7b 32 7d 20 3d 20 2b 20 78 27 27 27 20 5c 63 6f 73 20 7b 5c 72 "..ALT="$x_{2}.=.+.x'''.\cos.{\r
1d9720 6d 20 4f 52 49 45 4e 54 7d 20 2b 0a 20 79 27 27 27 20 5c 73 69 6e 20 7b 5c 72 6d 20 4f 52 49 45 m.ORIENT}.+..y'''.\sin.{\rm.ORIE
1d9740 4e 54 7d 24 22 3e 20 3c 42 52 3e 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 3c 49 4d 47 20 NT}$">.<BR>................<IMG.
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1d97c0 72 6d 20 4f 52 49 45 4e 54 7d 20 2b 0a 20 79 27 27 27 20 5c 63 6f 73 20 7b 5c 72 6d 20 4f 52 49 rm.ORIENT}.+..y'''.\cos.{\rm.ORI
1d97e0 45 4e 54 7d 24 22 3e 3c 2f 42 4c 4f 43 4b 51 55 4f 54 45 3e 3c 2f 44 4c 3e 0a 20 20 3c 44 54 3e ENT}$"></BLOCKQUOTE></DL>...<DT>
1d9800 32 2e 0a 3c 44 44 3e 53 65 65 20 61 6c 73 6f 20 73 6c 61 5f 46 49 54 58 59 2c 20 73 6c 61 5f 50 2..<DD>See.also.sla_FITXY,.sla_P
1d9820 58 59 2c 20 73 6c 61 5f 49 4e 56 46 2c 20 73 6c 61 5f 58 59 32 58 59 2e 0a 20 3c 2f 44 4c 3e 3c XY,.sla_INVF,.sla_XY2XY...</DL><
1d9840 2f 44 4c 3e 0a 3c 42 52 3e 20 3c 48 52 3e 0a 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 6d 6c /DL>.<BR>.<HR>.<A.NAME="tex2html
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1d9880 44 54 48 3d 22 33 37 22 20 48 45 49 47 48 54 3d 22 32 34 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 DTH="37".HEIGHT="24".ALIGN="BOTT
1d98a0 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 20 41 4c 54 3d 22 6e 65 78 74 22 20 53 52 43 3d 22 6e OM".BORDER="0".ALT="next".SRC="n
1d98c0 65 78 74 5f 6d 6f 74 69 66 2e 67 69 66 22 3e 3c 2f 41 3e 20 0a 3c 41 20 4e 41 4d 45 3d 22 74 65 ext_motif.gif"></A>..<A.NAME="te
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1d9900 49 4d 47 20 57 49 44 54 48 3d 22 32 36 22 20 48 45 49 47 48 54 3d 22 32 34 22 20 41 4c 49 47 4e IMG.WIDTH="26".HEIGHT="24".ALIGN
1d9920 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 52 44 45 52 3d 22 30 22 20 41 4c 54 3d 22 75 70 22 20 53 52 ="BOTTOM".BORDER="0".ALT="up".SR
1d9940 43 3d 22 75 70 5f 6d 6f 74 69 66 2e 67 69 66 22 3e 3c 2f 41 3e 20 0a 3c 41 20 4e 41 4d 45 3d 22 C="up_motif.gif"></A>..<A.NAME="
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1dcf60 0a 3c 42 52 3e 0a 3c 42 3e 20 4e 65 78 74 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 .<BR>.<B>.Next:</B>.<A.NAME="tex
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1dd1a0 6c 0a 3c 2f 48 32 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e l.</H2>........<DL>.<DT><STRONG>
1dd1c0 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 45 71 75 61 74 6f 72 69 61 6c 20 ACTION:</STRONG>.<DD>Equatorial.
1dd1e0 74 6f 20 68 6f 72 69 7a 6f 6e 20 63 6f 6f 72 64 69 6e 61 74 65 73 0a 28 64 6f 75 62 6c 65 20 70 to.horizon.coordinates.(double.p
1dd200 72 65 63 69 73 69 6f 6e 29 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 recision)..<P>....<DT><STRONG>CA
1dd220 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 44 45 LL:</STRONG>.<DD><TT>CALL.sla_DE
1dd240 32 48 20 28 48 41 2c 20 44 45 43 2c 20 50 48 49 2c 20 41 5a 2c 20 45 4c 29 3c 2f 54 54 3e 0a 3c 2H.(HA,.DEC,.PHI,.AZ,.EL)</TT>.<
1dd260 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e P>.......</DL>.<P>.....<DL>.<DT>
1dd280 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 <STRONG>GIVEN:</STRONG>.<DD>.<BR
1dd2a0 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 >.<TABLE.CELLPADDING=3>.<TR.VALI
1dd2c0 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 48 41 GN="TOP"><TD.ALIGN="LEFT"><EM>HA
1dd2e0 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 </EM></TD>.<TH.ALIGN="LEFT"><B>D
1dd300 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 </B></TH>.<TD.ALIGN="LEFT".NOWRA
1dd320 50 3e 68 6f 75 72 20 61 6e 67 6c 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 P>hour.angle.(radians)</TD>.</TR
1dd340 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
1dd360 46 54 22 3e 3c 45 4d 3e 44 45 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d FT"><EM>DEC</EM></TD>.<TD.ALIGN=
1dd380 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 "LEFT"><B>D</B></TD>.<TD.ALIGN="
1dd3a0 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 64 65 63 6c 69 6e 61 74 69 6f 6e 20 28 72 61 64 69 61 6e LEFT".NOWRAP>declination.(radian
1dd3c0 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c s)</TD>.</TR>.<TR.VALIGN="TOP"><
1dd3e0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 48 49 3c 2f 45 4d 3e 3c 2f 54 44 TD.ALIGN="LEFT"><EM>PHI</EM></TD
1dd400 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e >.<TD.ALIGN="LEFT"><B>D</B></TD>
1dd420 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 61 74 69 74 75 64 .<TD.ALIGN="LEFT".NOWRAP>latitud
1dd440 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c e.(radians)</TD>.</TR>.</TABLE><
1dd460 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 /DL>.<P>.....<DL>.<DT><STRONG>RE
1dd480 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c TURNED:</STRONG>.<DD>.<BR>.<TABL
1dd4a0 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 E.CELLPADDING=3>.<TR.VALIGN="TOP
1dd4c0 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 41 5a 3c 2f 45 4d 3e 3c 2f "><TD.ALIGN="LEFT"><EM>AZ</EM></
1dd4e0 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 TD>.<TH.ALIGN="LEFT"><B>D</B></T
1dd500 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 61 7a 69 6d 75 H>.<TD.ALIGN="LEFT".NOWRAP>azimu
1dd520 74 68 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 th.(radians)</TD>.</TR>.<TR.VALI
1dd540 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 45 4c GN="TOP"><TD.ALIGN="LEFT"><EM>EL
1dd560 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 </EM></TD>.<TD.ALIGN="LEFT"><B>D
1dd580 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 </B></TD>.<TD.ALIGN="LEFT".NOWRA
1dd5a0 50 3e 65 6c 65 76 61 74 69 6f 6e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e P>elevation.(radians)</TD>.</TR>
1dd5c0 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 .</TABLE></DL>.<P>......<DL>.<DT
1dd5e0 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c ><STRONG>NOTES:</STRONG>.<DD><DL
1dd600 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 41 7a 69 6d 75 74 68 20 69 73 20 .COMPACT>.<DT>1..<DD>Azimuth.is.
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1dd680 54 3d 22 24 30 5c 21 2d 5c 21 32 5c 70 69 24 22 3e 3b 20 20 6e 6f 72 74 68 20 69 73 20 7a 65 72 T="$0\!-\!2\pi$">;..north.is.zer
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1dd700 69 2f 32 24 22 3e 2e 20 20 45 6c 65 76 61 74 69 6f 6e 20 69 73 20 72 65 74 75 72 6e 65 64 20 69 i/2$">...Elevation.is.returned.i
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1dd780 69 24 22 3e 2e 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 20 6c 61 74 69 74 75 64 65 20 6d i$">...<DT>2..<DD>The.latitude.m
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1dd7c0 70 6c 69 63 61 74 69 6f 6e 73 2c 0a 20 20 20 20 20 20 20 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 plications,.........corrections.
1dd7e0 66 6f 72 20 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 73 68 6f 75 6c 64 20 62 65 20 61 70 70 6c 69 for.polar.motion.should.be.appli
1dd800 65 64 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 49 6e 20 73 6f 6d 65 20 61 70 70 6c 69 63 61 ed....<DT>3..<DD>In.some.applica
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1dd880 6f 72 64 65 72 20 74 6f 0a 20 20 20 20 20 20 20 20 70 72 6f 64 75 63 65 20 74 68 65 20 72 65 71 order.to.........produce.the.req
1dd8a0 75 69 72 65 64 20 74 79 70 65 20 6f 66 20 61 7a 69 6d 75 74 68 20 61 6e 64 20 65 6c 65 76 61 74 uired.type.of.azimuth.and.elevat
1dd8c0 69 6f 6e 2e 20 20 49 6e 0a 20 20 20 20 20 20 20 20 70 61 72 74 69 63 75 6c 61 72 2c 20 69 74 20 ion...In.........particular,.it.
1dd8e0 6d 61 79 20 62 65 20 69 6d 70 6f 72 74 61 6e 74 20 74 6f 20 64 69 73 74 69 6e 67 75 69 73 68 20 may.be.important.to.distinguish.
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1dd920 65 63 74 65 64 20 62 79 20 72 65 66 72 61 63 74 69 6f 6e 2c 20 77 68 69 63 68 20 77 6f 75 6c 64 ected.by.refraction,.which.would
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1dd9c0 5d 24 22 3e 2c 20 61 6e 64 20 74 68 65 20 65 6c 65 76 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 ]$">,.and.the.elevation.........
1dd9e0 3c 49 3e 69 6e 20 76 61 63 75 6f 3c 2f 49 3e 2c 20 77 68 69 63 68 20 77 6f 75 6c 64 20 72 65 71 <I>in.vacuo</I>,.which.would.req
1dda00 75 69 72 65 20 74 68 65 20 3c 49 3e 74 6f 70 6f 63 65 6e 74 72 69 63 3c 2f 49 3e 0a 20 20 20 20 uire.the.<I>topocentric</I>.....
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1ddb60 6e 74 72 69 63 0a 20 20 20 20 20 20 20 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 34 31 22 20 48 45 ntric.........<IMG.WIDTH="41".HE
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1ddbc0 2c 5c 64 65 6c 74 61 5c 2c 5d 24 22 3e 2e 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 4e 6f 20 72 61 ,\delta\,]$">...<DT>4..<DD>No.ra
1ddbe0 6e 67 65 20 63 68 65 63 6b 69 6e 67 20 6f 66 20 61 72 67 75 6d 65 6e 74 73 20 69 73 20 63 61 72 nge.checking.of.arguments.is.car
1ddc00 72 69 65 64 20 6f 75 74 2e 0a 20 20 3c 44 54 3e 35 2e 0a 3c 44 44 3e 49 6e 20 61 70 70 6c 69 63 ried.out....<DT>5..<DD>In.applic
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1ddc40 61 6c 63 75 6c 61 74 69 6f 6e 73 2c 20 72 61 74 68 65 72 0a 20 20 20 20 20 20 20 20 74 68 61 6e alculations,.rather.........than
1ddc60 20 63 61 6c 6c 69 6e 67 20 74 68 65 20 70 72 65 73 65 6e 74 20 72 6f 75 74 69 6e 65 20 69 74 20 .calling.the.present.routine.it.
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1defc0 52 4d 41 54 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e RMAT</EM></TD>.<TH.ALIGN="LEFT">
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1e27c0 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 48 6f 72 69 STRONG>ACTION:</STRONG>.<DD>Hori
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1e2820 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c RONG>CALL:</STRONG>.<DD><TT>CALL
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1e28a0 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c DD>.<BR>.<TABLE.CELLPADDING=3>.<
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1e28e0 3e 3c 45 4d 3e 41 5a 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 ><EM>AZ</EM></TD>.<TH.ALIGN="LEF
1e2900 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 T"><B>D</B></TH>.<TD.ALIGN="LEFT
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1e2940 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
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1e29c0 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e ns)</TD>.</TR>.<TR.VALIGN="TOP">
1e29e0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 48 49 3c 2f 45 4d 3e 3c 2f 54 <TD.ALIGN="LEFT"><EM>PHI</EM></T
1e2a00 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 D>.<TD.ALIGN="LEFT"><B>D</B></TD
1e2a20 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6c 61 74 69 74 75 >.<TD.ALIGN="LEFT".NOWRAP>latitu
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1e2ae0 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f /TD>.<TH.ALIGN="LEFT"><B>D</B></
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1e2b20 20 61 6e 67 6c 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 .angle.(radians)</TD>.</TR>.<TR.
1e2b40 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 VALIGN="TOP"><TD.ALIGN="LEFT"><E
1e2b60 4d 3e 44 45 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 M>DEC</EM></TD>.<TD.ALIGN="LEFT"
1e2b80 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>D</B></TD>.<TD.ALIGN="LEFT".
1e2ba0 4e 4f 57 52 41 50 3e 64 65 63 6c 69 6e 61 74 69 6f 6e 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 NOWRAP>declination.(radians)</TD
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1e2be0 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a DL>.<DT><STRONG>NOTES:</STRONG>.
1e2c00 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 65 20 <DD><DL.COMPACT>.<DT>1..<DD>The.
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1e2da0 20 5c 70 69 24 22 3e 2e 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 6c 61 74 69 74 75 64 .\pi$">...<DT>3..<DD>The.latitud
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1e2e00 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 66 6f 72 20 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 73 68 .corrections.for.polar.motion.sh
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1e2f40 3e 2e 20 20 49 6e 20 70 61 72 74 69 63 75 6c 61 72 2c 20 69 74 20 6d 61 79 20 62 65 20 69 6d 70 >...In.particular,.it.may.be.imp
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1e94a0 20 4d 4a 44 20 74 6f 20 59 65 61 72 2c 4d 6f 6e 74 68 2c 44 61 79 2c 46 72 61 63 3c 2f 41 3e 0a .MJD.to.Year,Month,Day,Frac</A>.
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1e9520 4d 32 41 56 20 2d 20 52 6f 74 61 74 69 6f 6e 20 4d 61 74 72 69 78 20 74 6f 20 41 78 69 61 6c 20 M2AV.-.Rotation.Matrix.to.Axial.
1e9540 56 65 63 74 6f 72 3c 2f 41 3e 0a 3c 41 20 4e 41 4d 45 3d 22 78 72 65 66 5f 53 4c 41 5f 44 4d 32 Vector</A>.<A.NAME="xref_SLA_DM2
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1e95a0 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e DT><STRONG>ACTION:</STRONG>.<DD>
1e95c0 46 72 6f 6d 20 61 20 72 6f 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 2c 20 64 65 74 65 72 6d 69 6e From.a.rotation.matrix,.determin
1e95e0 65 20 74 68 65 20 63 6f 72 72 65 73 70 6f 6e 64 69 6e 67 20 61 78 69 61 6c 20 76 65 63 74 6f 72 e.the.corresponding.axial.vector
1e9600 0a 28 64 6f 75 62 6c 65 20 70 72 65 63 69 73 69 6f 6e 29 2e 0a 3c 50 3e 20 20 20 20 3c 44 54 3e .(double.precision)..<P>....<DT>
1e9620 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 <STRONG>CALL:</STRONG>.<DD><TT>C
1e9640 41 4c 4c 20 73 6c 61 5f 44 4d 32 41 56 20 28 52 4d 41 54 2c 20 41 58 56 45 43 29 3c 2f 54 54 3e ALL.sla_DM2AV.(RMAT,.AXVEC)</TT>
1e9660 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 .<P>.......</DL>.<P>.....<DL>.<D
1e9680 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c T><STRONG>GIVEN:</STRONG>.<DD>.<
1e96a0 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 BR>.<TABLE.CELLPADDING=3>.<TR.VA
1e96c0 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e LIGN="TOP"><TD.ALIGN="LEFT"><EM>
1e96e0 52 4d 41 54 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e RMAT</EM></TD>.<TH.ALIGN="LEFT">
1e9700 3c 42 3e 44 28 33 2c 33 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 <B>D(3,3)</B></TH>.<TD.ALIGN="LE
1e9720 46 54 22 20 4e 4f 57 52 41 50 3e 72 6f 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 3c 2f 54 44 3e 0a FT".NOWRAP>rotation.matrix</TD>.
1e9740 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e </TR>.</TABLE></DL>.<P>.....<DL>
1e9760 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a .<DT><STRONG>RETURNED:</STRONG>.
1e9780 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a <DD>.<BR>.<TABLE.CELLPADDING=3>.
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1e9860 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 </STRONG>.<DD><DL.COMPACT>.<DT>1
1e9880 2e 0a 3c 44 44 3e 41 20 72 6f 74 61 74 69 6f 6e 20 6d 61 74 72 69 78 20 64 65 73 63 72 69 62 65 ..<DD>A.rotation.matrix.describe
1e98a0 73 20 61 20 72 6f 74 61 74 69 6f 6e 20 61 62 6f 75 74 20 73 6f 6d 65 20 61 72 62 69 74 72 61 72 s.a.rotation.about.some.arbitrar
1e98c0 79 20 61 78 69 73 2e 0a 54 68 65 20 61 78 69 73 20 69 73 20 63 61 6c 6c 65 64 20 74 68 65 20 3c y.axis..The.axis.is.called.the.<
1e98e0 49 3e 45 75 6c 65 72 20 61 78 69 73 3c 2f 49 3e 2c 20 61 6e 64 20 74 68 65 20 61 6e 67 6c 65 20 I>Euler.axis</I>,.and.the.angle.
1e9900 74 68 72 6f 75 67 68 0a 77 68 69 63 68 20 74 68 65 20 72 65 66 65 72 65 6e 63 65 20 66 72 61 6d through.which.the.reference.fram
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1e9940 20 61 6e 67 6c 65 3c 2f 49 3e 2e 0a 20 20 20 20 20 20 20 20 54 68 65 20 3c 49 3e 61 78 69 61 6c .angle</I>..........The.<I>axial
1e9960 20 76 65 63 74 6f 72 3c 2f 49 3e 20 72 65 74 75 72 6e 65 64 20 62 79 20 74 68 69 73 20 72 6f 75 .vector</I>.returned.by.this.rou
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1e99a0 69 6f 6e 20 61 73 20 74 68 65 20 45 75 6c 65 72 20 61 78 69 73 2c 20 61 6e 64 20 69 74 73 20 6d ion.as.the.Euler.axis,.and.its.m
1e99c0 61 67 6e 69 74 75 64 65 20 69 73 20 74 68 65 20 45 75 6c 65 72 20 61 6e 67 6c 65 0a 20 20 20 20 agnitude.is.the.Euler.angle.....
1e99e0 20 20 20 20 69 6e 20 72 61 64 69 61 6e 73 2e 0a 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e 54 68 65 ....in.radians....<DT>2..<DD>The
1e9a00 20 6d 61 67 6e 69 74 75 64 65 20 61 6e 64 20 64 69 72 65 63 74 69 6f 6e 20 6f 66 20 74 68 65 20 .magnitude.and.direction.of.the.
1e9a20 61 78 69 61 6c 20 76 65 63 74 6f 72 20 63 61 6e 20 62 65 20 73 65 70 61 72 61 74 65 64 0a 20 20 axial.vector.can.be.separated...
1e9a40 20 20 20 20 20 20 62 79 20 6d 65 61 6e 73 20 6f 66 20 74 68 65 20 72 6f 75 74 69 6e 65 20 73 6c ......by.means.of.the.routine.sl
1e9a60 61 5f 44 56 4e 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 54 68 65 20 72 65 66 65 72 65 6e 63 a_DVN....<DT>3..<DD>The.referenc
1e9a80 65 20 66 72 61 6d 65 20 72 6f 74 61 74 65 73 20 63 6c 6f 63 6b 77 69 73 65 20 61 73 20 73 65 65 e.frame.rotates.clockwise.as.see
1e9aa0 6e 20 6c 6f 6f 6b 69 6e 67 20 61 6c 6f 6e 67 0a 20 20 20 20 20 20 20 20 74 68 65 20 61 78 69 61 n.looking.along.........the.axia
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1e9ae0 34 2e 0a 3c 44 44 3e 49 66 20 52 4d 41 54 20 69 73 20 6e 75 6c 6c 2c 20 73 6f 20 69 73 20 74 68 4..<DD>If.RMAT.is.null,.so.is.th
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1e9e20 53 4c 41 5f 44 4a 43 4c 20 2d 20 4d 4a 44 20 74 6f 20 59 65 61 72 2c 4d 6f 6e 74 68 2c 44 61 79 SLA_DJCL.-.MJD.to.Year,Month,Day
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1ead40 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 4e 29 3c 2f 42 3e 3c 2f 54 44 <TD.ALIGN="LEFT"><B>D(N)</B></TD
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1eada0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a TD.ALIGN="LEFT"><EM>D</EM></TD>.
1eadc0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>D</B></TD>.<
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1eae40 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a .<TD.ALIGN="LEFT"><B>I</B></TD>.
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1eb8e0 61 63 65 3c 42 52 3e 31 32 20 4f 63 74 6f 62 65 72 20 31 39 39 39 3c 42 52 3e 45 2d 6d 61 69 6c ace<BR>12.October.1999<BR>E-mail
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1ec2c0 61 74 69 6f 6e 20 50 61 6e 65 6c 2d 2d 3e 0a 3c 48 32 3e 3c 41 20 4e 41 4d 45 3d 22 53 45 43 54 ation.Panel-->.<H2><A.NAME="SECT
1ec2e0 49 4f 4e 30 30 30 34 34 39 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 22 3e 53 4c 41 5f 44 4d ION000449000000000000000">SLA_DM
1ec300 4f 4f 4e 20 2d 20 41 70 70 72 6f 78 20 4d 6f 6f 6e 20 50 6f 73 2f 56 65 6c 3c 2f 41 3e 0a 3c 41 OON.-.Approx.Moon.Pos/Vel</A>.<A
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1ec340 3e 3c 41 20 4e 41 4d 45 3d 22 53 4c 41 5f 44 4d 4f 4f 4e 22 3e 26 23 31 36 30 3b 3c 2f 41 3e 0a ><A.NAME="SLA_DMOON">&#160;</A>.
1ec360 3c 2f 48 32 3e 0a 20 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 </H2>........<DL>.<DT><STRONG>AC
1ec380 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 41 70 70 72 6f 78 69 6d 61 74 65 20 67 TION:</STRONG>.<DD>Approximate.g
1ec3a0 65 6f 63 65 6e 74 72 69 63 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 20 eocentric.position.and.velocity.
1ec3c0 6f 66 20 74 68 65 20 4d 6f 6f 6e 0a 28 64 6f 75 62 6c 65 20 70 72 65 63 69 73 69 6f 6e 29 2e 0a of.the.Moon.(double.precision)..
1ec3e0 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 <P>....<DT><STRONG>CALL:</STRONG
1ec400 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 44 4d 4f 4f 4e 20 28 44 41 54 45 2c 20 >.<DD><TT>CALL.sla_DMOON.(DATE,.
1ec420 50 56 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 PV)</TT>.<P>.......</DL>.<P>....
1ec440 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 .<DL>.<DT><STRONG>GIVEN:</STRONG
1ec460 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 >.<DD>.<BR>.<TABLE.CELLPADDING=3
1ec480 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 >.<TR.VALIGN="TOP"><TD.ALIGN="LE
1ec4a0 46 54 22 3e 3c 45 4d 3e 44 41 54 45 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e FT"><EM>DATE</EM></TD>.<TH.ALIGN
1ec4c0 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d ="LEFT"><B>D</B></TH>.<TD.ALIGN=
1ec4e0 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 54 44 42 20 28 6c 6f 6f 73 65 6c 79 20 45 54 29 20 61 "LEFT".NOWRAP>TDB.(loosely.ET).a
1ec500 73 20 61 20 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 20 28 4a 44 2d 32 34 30 s.a.Modified.Julian.Date.(JD-240
1ec520 30 30 30 30 2e 35 29 0a 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 0000.5).</TD>.</TR>.</TABLE></DL
1ec540 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 >.<P>.....<DL>.<DT><STRONG>RETUR
1ec560 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 NED:</STRONG>.<DD>.<BR>.<TABLE.C
1ec580 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c ELLPADDING=3>.<TR.VALIGN="TOP"><
1ec5a0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 50 56 3c 2f 45 4d 3e 3c 2f 54 44 3e TD.ALIGN="LEFT"><EM>PV</EM></TD>
1ec5c0 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 36 29 3c 2f 42 3e 3c 2f 54 .<TH.ALIGN="LEFT"><B>D(6)</B></T
1ec5e0 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 4d 6f 6f 6e 20 H>.<TD.ALIGN="LEFT".NOWRAP>Moon.
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1ec660 5c 64 6f 74 7b 79 7d 2c 5c 64 6f 74 7b 7a 7d 5c 2c 5d 24 22 3e 2c 20 6d 65 61 6e 20 65 71 75 61 \dot{y},\dot{z}\,]$">,.mean.equa
1ec680 74 6f 72 20 61 6e 64 20 65 71 75 69 6e 6f 78 0a 6f 66 20 64 61 74 65 20 28 41 55 2c 20 41 55 26 tor.and.equinox.of.date.(AU,.AU&
1ec6a0 6e 62 73 70 3b 73 3c 53 55 50 3e 2d 31 3c 2f 53 55 50 3e 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a nbsp;s<SUP>-1</SUP>)</TD>.</TR>.
1ec6c0 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e </TABLE></DL>.<P>......<DL>.<DT>
1ec6e0 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 <STRONG>NOTES:</STRONG>.<DD><DL.
1ec700 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 54 68 69 73 20 72 6f 75 74 69 6e 65 COMPACT>.<DT>1..<DD>This.routine
1ec720 20 69 73 20 61 20 66 75 6c 6c 20 69 6d 70 6c 65 6d 65 6e 74 61 74 69 6f 6e 20 6f 66 20 74 68 65 .is.a.full.implementation.of.the
1ec740 20 61 6c 67 6f 72 69 74 68 6d 0a 70 75 62 6c 69 73 68 65 64 20 62 79 20 4d 65 65 75 73 20 28 73 .algorithm.published.by.Meeus.(s
1ec760 65 65 20 72 65 66 65 72 65 6e 63 65 29 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 4d 65 65 75 73 20 ee.reference)..<DT>2..<DD>Meeus.
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1ece40 3c 44 44 3e 54 68 65 20 6f 72 69 67 69 6e 61 6c 20 61 6c 67 6f 72 69 74 68 6d 20 69 73 20 65 78 <DD>The.original.algorithm.is.ex
1ece60 70 72 65 73 73 65 64 20 69 6e 20 74 65 72 6d 73 20 6f 66 20 74 68 65 20 6f 62 73 6f 6c 65 74 65 pressed.in.terms.of.the.obsolete
1ece80 0a 20 20 20 20 20 20 20 20 74 69 6d 65 73 63 61 6c 65 20 3c 49 3e 45 70 68 65 6d 65 72 69 73 20 .........timescale.<I>Ephemeris.
1ecea0 54 69 6d 65 3c 2f 49 3e 2e 20 20 45 69 74 68 65 72 20 54 44 42 20 6f 72 20 54 54 20 63 61 6e 20 Time</I>...Either.TDB.or.TT.can.
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1ecf80 20 20 20 20 20 74 68 65 20 70 72 65 73 65 6e 74 20 74 69 6d 65 29 20 64 75 65 20 74 6f 20 74 68 .....the.present.time).due.to.th
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1ed040 65 6d 65 6e 74 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 54 68 65 20 61 6c 67 6f 72 69 74 68 ement....<DT>4..<DD>The.algorith
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1ed080 61 72 64 73 2e 20 20 48 6f 77 65 76 65 72 2c 0a 20 20 20 20 20 20 20 20 74 68 65 20 72 65 73 75 ards...However,.........the.resu
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1ed100 61 6c 6c 65 72 20 74 68 61 6e 20 74 68 65 0a 20 20 20 20 20 20 20 20 69 6e 74 72 69 6e 73 69 63 aller.than.the.........intrinsic
1ed120 20 61 63 63 75 72 61 63 79 20 6f 66 20 74 68 65 20 70 72 6f 63 65 64 75 72 65 2e 0a 20 20 3c 44 .accuracy.of.the.procedure....<D
1ed140 54 3e 35 2e 0a 3c 44 44 3e 56 65 6c 6f 63 69 74 79 20 69 73 20 6f 62 74 61 69 6e 65 64 20 62 79 T>5..<DD>Velocity.is.obtained.by
1ed160 20 61 20 63 6f 6d 70 6c 65 74 65 20 61 6e 61 6c 79 74 69 63 61 6c 20 64 69 66 66 65 72 65 6e 74 .a.complete.analytical.different
1ed180 69 61 74 69 6f 6e 0a 20 20 20 20 20 20 20 20 6f 66 20 74 68 65 20 4d 65 65 75 73 20 6d 6f 64 65 iation.........of.the.Meeus.mode
1ed1a0 6c 2e 0a 20 3c 2f 44 4c 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e l...</DL></DL>.<P>.....<DL>.<DT>
1ed1c0 3c 53 54 52 4f 4e 47 3e 52 45 46 45 52 45 4e 43 45 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e <STRONG>REFERENCE:</STRONG>.<DD>
1ed1e0 4d 65 65 75 73 2c 20 3c 49 3e 6c 27 41 73 74 72 6f 6e 6f 6d 69 65 3c 2f 49 3e 2c 20 4a 75 6e 65 Meeus,.<I>l'Astronomie</I>,.June
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1f0e20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 ...<DL>.<DT><STRONG>RETURNED:</S
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1f6900 3c 42 52 3e 45 2d 6d 61 69 6c 3a 70 74 77 40 73 74 61 72 2e 72 6c 2e 61 63 2e 75 6b 3c 2f 49 3e <BR>E-mail:ptw@star.rl.ac.uk</I>
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1f71c0 20 48 52 45 46 3d 22 6e 6f 64 65 32 2e 68 74 6d 6c 22 3e 49 4e 54 52 4f 44 55 43 54 49 4f 4e 3c .HREF="node2.html">INTRODUCTION<
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2007a0 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 54 72 61 6e 73 66 6f 72 6d 20 >ACTION:</STRONG>.<DD>Transform.
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2007e0 70 68 65 72 69 63 61 6c 0a 63 6f 6f 72 64 69 6e 61 74 65 73 20 28 64 6f 75 62 6c 65 20 70 72 65 pherical.coordinates.(double.pre
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200840 20 28 58 49 2c 20 45 54 41 2c 20 52 41 5a 2c 20 44 45 43 5a 2c 20 52 41 2c 20 44 45 43 29 3c 2f .(XI,.ETA,.RAZ,.DECZ,.RA,.DEC)</
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200880 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 .<DT><STRONG>GIVEN:</STRONG>.<DD
2008a0 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 >.<BR>.<TABLE.CELLPADDING=3>.<TR
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2008e0 45 4d 3e 58 49 2c 45 54 41 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c EM>XI,ETA</EM></TD>.<TH.ALIGN="L
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200960 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
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2009e0 63 6f 6f 72 64 69 6e 61 74 65 73 20 6f 66 20 74 61 6e 67 65 6e 74 20 70 6f 69 6e 74 20 28 72 61 coordinates.of.tangent.point.(ra
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200a20 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 <P>.....<DL>.<DT><STRONG>RETURNE
200a40 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c D:</STRONG>.<DD>.<BR>.<TABLE.CEL
200a60 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 LPADDING=3>.<TR.VALIGN="TOP"><TD
200a80 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 41 2c 44 45 43 3c 2f 45 4d 3e 3c 2f 54 .ALIGN="LEFT"><EM>RA,DEC</EM></T
200aa0 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 D>.<TH.ALIGN="LEFT"><B>D</B></TH
200ac0 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 73 70 68 65 72 69 >.<TD.ALIGN="LEFT".NOWRAP>spheri
200ae0 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c cal.coordinates.(radians)</TD>.<
200b00 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e /TR>.</TABLE></DL>.<P>......<DL>
200b20 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 .<DT><STRONG>NOTES:</STRONG>.<DD
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200ca0 49 3e 69 2e 65 2e 3c 2f 49 3e 20 72 61 64 69 61 6e 73 20 6e 65 61 72 20 74 68 65 20 6f 72 69 67 I>i.e.</I>.radians.near.the.orig
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203380 3e 20 6f 66 20 74 68 65 20 74 61 6e 67 65 6e 74 20 70 6f 69 6e 74 20 28 64 6f 75 62 6c 65 20 70 >.of.the.tangent.point.(double.p
2033a0 72 65 63 69 73 69 6f 6e 29 0a 3c 50 3e 20 20 20 20 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c recision).<P>....<DT><STRONG>CAL
2033c0 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 44 54 50 L:</STRONG>.<DD><TT>CALL.sla_DTP
2033e0 53 32 43 20 28 58 49 2c 20 45 54 41 2c 20 52 41 2c 20 44 45 43 2c 20 52 41 5a 31 2c 20 44 45 43 S2C.(XI,.ETA,.RA,.DEC,.RAZ1,.DEC
203400 5a 31 2c 20 52 41 5a 32 2c 20 44 45 43 5a 32 2c 20 4e 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 Z1,.RAZ2,.DECZ2,.N)</TT>.<P>....
203420 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e ...</DL>.<P>.....<DL>.<DT><STRON
203440 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 G>GIVEN:</STRONG>.<DD>.<BR>.<TAB
203460 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f LE.CELLPADDING=3>.<TR.VALIGN="TO
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2034a0 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f EM></TD>.<TH.ALIGN="LEFT"><B>D</
2034c0 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TH>.<TD.ALIGN="LEFT".NOWRAP>
2034e0 74 61 6e 67 65 6e 74 20 70 6c 61 6e 65 20 72 65 63 74 61 6e 67 75 6c 61 72 20 63 6f 6f 72 64 69 tangent.plane.rectangular.coordi
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203520 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
203540 3e 52 41 2c 44 45 43 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 >RA,DEC</EM></TD>.<TD.ALIGN="LEF
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2035a0 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c radians)</TD>.</TR>.</TABLE></DL
2035c0 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 >.<P>.....<DL>.<DT><STRONG>RETUR
2035e0 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 NED:</STRONG>.<DD>.<BR>.<TABLE.C
203600 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c ELLPADDING=3>.<TR.VALIGN="TOP"><
203620 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 52 41 5a 31 2c 44 45 43 5a 31 3c 2f TD.ALIGN="LEFT"><EM>RAZ1,DECZ1</
203640 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f EM></TD>.<TH.ALIGN="LEFT"><B>D</
203660 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TH>.<TD.ALIGN="LEFT".NOWRAP>
203680 73 70 68 65 72 69 63 61 6c 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 6f 66 20 74 61 6e 67 65 6e 74 spherical.coordinates.of.tangent
2036a0 20 70 6f 69 6e 74 2c 0a 73 6f 6c 75 74 69 6f 6e 20 31 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 .point,.solution.1</TD>.</TR>.<T
2036c0 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e R.VALIGN="TOP"><TD.ALIGN="LEFT">
2036e0 3c 45 4d 3e 52 41 5a 32 2c 44 45 43 5a 32 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 <EM>RAZ2,DECZ2</EM></TD>.<TD.ALI
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203760 20 32 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c .2</TD>.</TR>.<TR.VALIGN="TOP"><
203780 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a TD.ALIGN="LEFT"><EM>N</EM></TD>.
2037a0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c <TD.ALIGN="LEFT"><B>I</B></TD>.<
2037c0 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6e 75 6d 62 65 72 20 6f 66 TD.ALIGN="LEFT".NOWRAP>number.of
2037e0 20 73 6f 6c 75 74 69 6f 6e 73 3a 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 .solutions:</TD>.</TR>.<TR.VALIG
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203820 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e M></TD>.<TD.ALIGN="LEFT"><B></B>
203840 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 </TD>.<TD.ALIGN="LEFT".NOWRAP>..
203860 30 20 3d 20 6e 6f 20 73 6f 6c 75 74 69 6f 6e 73 20 72 65 74 75 72 6e 65 64 20 20 28 6e 6f 74 65 0.=.no.solutions.returned..(note
203880 20 32 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e .2)</TD>.</TR>.<TR.VALIGN="TOP">
2038a0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a <TD.ALIGN="LEFT"><EM></EM></TD>.
2038c0 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 <TD.ALIGN="LEFT"><B></B></TD>.<T
2038e0 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 31 20 3d 20 6f 6e 6c 79 D.ALIGN="LEFT".NOWRAP>..1.=.only
203900 20 74 68 65 20 66 69 72 73 74 20 73 6f 6c 75 74 69 6f 6e 20 69 73 20 75 73 65 66 75 6c 20 28 6e .the.first.solution.is.useful.(n
203920 6f 74 65 20 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f ote.3)</TD>.</TR>.<TR.VALIGN="TO
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203960 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e D>.<TD.ALIGN="LEFT"><B></B></TD>
203980 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 32 20 3d 20 74 .<TD.ALIGN="LEFT".NOWRAP>..2.=.t
2039a0 68 65 72 65 20 61 72 65 20 74 77 6f 20 75 73 65 66 75 6c 20 73 6f 6c 75 74 69 6f 6e 73 20 28 6e here.are.two.useful.solutions.(n
2039c0 6f 74 65 20 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a ote.3)</TD>.</TR>.</TABLE></DL>.
2039e0 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a <P>......<DL>.<DT><STRONG>NOTES:
203a00 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 </STRONG>.<DD><DL.COMPACT>.<DT>1
203a20 2e 0a 3c 44 44 3e 54 68 65 20 52 41 5a 31 20 61 6e 64 20 52 41 5a 32 20 76 61 6c 75 65 73 20 72 ..<DD>The.RAZ1.and.RAZ2.values.r
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203a60 44 54 48 3d 22 34 33 22 20 48 45 49 47 48 54 3d 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 DTH="43".HEIGHT="25".ALIGN="MIDD
203a80 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 36 36 2e 67 69 66 22 0a LE".BORDER="0"..SRC="img66.gif".
203aa0 20 41 4c 54 3d 22 24 30 5c 21 2d 5c 21 32 5c 70 69 24 22 3e 2e 3c 44 54 3e 32 2e 0a 3c 44 44 3e .ALT="$0\!-\!2\pi$">.<DT>2..<DD>
203ac0 43 61 73 65 73 20 77 68 65 72 65 20 74 68 65 72 65 20 69 73 20 6e 6f 20 73 6f 6c 75 74 69 6f 6e Cases.where.there.is.no.solution
203ae0 20 63 61 6e 20 6f 6e 6c 79 20 61 72 69 73 65 20 6e 65 61 72 20 74 68 65 20 70 6f 6c 65 73 2e 0a .can.only.arise.near.the.poles..
203b00 46 6f 72 20 65 78 61 6d 70 6c 65 2c 20 69 74 20 69 73 20 63 6c 65 61 72 6c 79 20 69 6d 70 6f 73 For.example,.it.is.clearly.impos
203b20 73 69 62 6c 65 20 66 6f 72 20 61 20 73 74 61 72 20 61 74 20 74 68 65 20 70 6f 6c 65 0a 20 20 20 sible.for.a.star.at.the.pole....
203b40 20 20 20 20 20 69 74 73 65 6c 66 20 74 6f 20 68 61 76 65 20 61 20 6e 6f 6e 2d 7a 65 72 6f 20 3c .....itself.to.have.a.non-zero.<
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203ba0 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 78 69 24 22 3e 20 76 61 6c 75 65 2c 20 61 6e 64 20 68 .gif"..ALT="$\xi$">.value,.and.h
203bc0 65 6e 63 65 20 69 74 20 69 73 0a 20 20 20 20 20 20 20 20 6d 65 61 6e 69 6e 67 6c 65 73 73 20 74 ence.it.is.........meaningless.t
203be0 6f 20 61 73 6b 20 77 68 65 72 65 20 74 68 65 20 74 61 6e 67 65 6e 74 20 70 6f 69 6e 74 20 77 6f o.ask.where.the.tangent.point.wo
203c00 75 6c 64 20 68 61 76 65 20 74 6f 20 62 65 0a 20 20 20 20 20 20 20 20 74 6f 20 62 72 69 6e 67 20 uld.have.to.be.........to.bring.
203c20 61 62 6f 75 74 20 74 68 69 73 20 63 6f 6d 62 69 6e 61 74 69 6f 6e 20 6f 66 20 3c 49 4d 47 20 57 about.this.combination.of.<IMG.W
203c40 49 44 54 48 3d 22 31 30 22 20 48 45 49 47 48 54 3d 22 32 37 22 20 41 4c 49 47 4e 3d 22 4d 49 44 IDTH="10".HEIGHT="27".ALIGN="MID
203c60 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 39 32 2e 67 69 66 22 DLE".BORDER="0"..SRC="img92.gif"
203c80 0a 20 41 4c 54 3d 22 24 5c 78 69 24 22 3e 20 61 6e 64 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 31 ..ALT="$\xi$">.and.<IMG.WIDTH="1
203ca0 30 22 20 48 45 49 47 48 54 3d 22 31 33 22 20 41 4c 49 47 4e 3d 22 42 4f 54 54 4f 4d 22 20 42 4f 0".HEIGHT="13".ALIGN="BOTTOM".BO
203cc0 52 44 45 52 3d 22 30 22 0a 20 53 52 43 3d 22 69 6d 67 32 33 2e 67 69 66 22 0a 20 41 4c 54 3d 22 RDER="0"..SRC="img23.gif"..ALT="
203ce0 24 5c 64 65 6c 74 61 24 22 3e 2e 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 41 6c 73 6f 20 6e 65 61 $\delta$">...<DT>3..<DD>Also.nea
203d00 72 20 74 68 65 20 70 6f 6c 65 73 2c 20 63 61 73 65 73 20 63 61 6e 20 61 72 69 73 65 20 77 68 65 r.the.poles,.cases.can.arise.whe
203d20 72 65 20 74 68 65 72 65 20 61 72 65 20 74 77 6f 20 75 73 65 66 75 6c 0a 20 20 20 20 20 20 20 20 re.there.are.two.useful.........
203d40 73 6f 6c 75 74 69 6f 6e 73 2e 20 20 54 68 65 20 61 72 67 75 6d 65 6e 74 20 4e 20 69 6e 64 69 63 solutions...The.argument.N.indic
203d60 61 74 65 73 20 77 68 65 74 68 65 72 20 74 68 65 20 73 65 63 6f 6e 64 20 6f 66 20 74 68 65 0a 20 ates.whether.the.second.of.the..
203d80 20 20 20 20 20 20 20 74 77 6f 20 73 6f 6c 75 74 69 6f 6e 73 20 72 65 74 75 72 6e 65 64 20 69 73 .......two.solutions.returned.is
203da0 20 75 73 65 66 75 6c 2e 20 20 4e 3d 31 0a 20 20 20 20 20 20 20 20 69 6e 64 69 63 61 74 65 73 20 .useful...N=1.........indicates.
203dc0 6f 6e 6c 79 20 6f 6e 65 20 75 73 65 66 75 6c 20 73 6f 6c 75 74 69 6f 6e 2c 20 74 68 65 20 75 73 only.one.useful.solution,.the.us
203de0 75 61 6c 20 63 61 73 65 3b 20 20 75 6e 64 65 72 0a 20 20 20 20 20 20 20 20 74 68 65 73 65 20 63 ual.case;..under.........these.c
203e00 69 72 63 75 6d 73 74 61 6e 63 65 73 2c 20 74 68 65 20 73 65 63 6f 6e 64 20 73 6f 6c 75 74 69 6f ircumstances,.the.second.solutio
203e20 6e 20 63 6f 72 72 65 73 70 6f 6e 64 73 20 74 6f 20 74 68 65 0a 20 20 20 20 20 20 20 20 60 60 6f n.corresponds.to.the.........``o
203e40 76 65 72 2d 74 68 65 2d 70 6f 6c 65 27 27 20 63 61 73 65 2c 20 61 6e 64 20 74 68 69 73 20 69 73 ver-the-pole''.case,.and.this.is
203e60 20 72 65 66 6c 65 63 74 65 64 20 69 6e 20 74 68 65 20 76 61 6c 75 65 73 0a 20 20 20 20 20 20 20 .reflected.in.the.values........
203e80 20 6f 66 20 52 41 5a 32 20 61 6e 64 20 44 45 43 5a 32 20 77 68 69 63 68 20 61 72 65 20 72 65 74 .of.RAZ2.and.DECZ2.which.are.ret
203ea0 75 72 6e 65 64 2e 0a 20 20 3c 44 54 3e 34 2e 0a 3c 44 44 3e 54 68 65 20 44 45 43 5a 31 20 61 6e urned....<DT>4..<DD>The.DECZ1.an
203ec0 64 20 44 45 43 5a 32 20 76 61 6c 75 65 73 20 72 65 74 75 72 6e 65 64 20 61 72 65 20 69 6e 20 74 d.DECZ2.values.returned.are.in.t
203ee0 68 65 20 72 61 6e 67 65 20 3c 49 4d 47 20 57 49 44 54 48 3d 22 32 35 22 20 48 45 49 47 48 54 3d he.range.<IMG.WIDTH="25".HEIGHT=
203f00 22 32 35 22 20 41 4c 49 47 4e 3d 22 4d 49 44 44 4c 45 22 20 42 4f 52 44 45 52 3d 22 30 22 0a 20 "25".ALIGN="MIDDLE".BORDER="0"..
203f20 53 52 43 3d 22 69 6d 67 34 37 2e 67 69 66 22 0a 20 41 4c 54 3d 22 24 5c 70 6d 20 5c 70 69 24 22 SRC="img47.gif"..ALT="$\pm.\pi$"
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2052a0 70 6f 69 6e 74 20 28 64 6f 75 62 6c 65 20 70 72 65 63 69 73 69 6f 6e 29 0a 3c 50 3e 20 20 20 20 point.(double.precision).<P>....
2052c0 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c <DT><STRONG>CALL:</STRONG>.<DD><
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2053a0 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 3c 2f 42 3e 3c 2f 54 48 3e >.<TH.ALIGN="LEFT"><B>D</B></TH>
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205420 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 56 3c 2f 45 4d 3e 3c 2f 54 44 ><TD.ALIGN="LEFT"><EM>V</EM></TD
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205460 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 64 69 72 65 TD>.<TD.ALIGN="LEFT".NOWRAP>dire
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2054a0 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e .</TABLE></DL>.<P>.....<DL>.<DT>
2054c0 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 0a <STRONG>RETURNED:</STRONG>.<DD>.
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205520 3e 56 30 31 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e >V01</EM></TD>.<TH.ALIGN="LEFT">
205540 3c 42 3e 44 28 33 29 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 <B>D(3)</B></TH>.<TD.ALIGN="LEFT
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205580 6e 67 65 6e 74 20 70 6f 69 6e 74 2c 20 73 6f 6c 75 74 69 6f 6e 20 31 3c 2f 54 44 3e 0a 3c 2f 54 ngent.point,.solution.1</TD>.</T
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205620 65 73 20 6f 66 20 74 61 6e 67 65 6e 74 20 70 6f 69 6e 74 2c 20 73 6f 6c 75 74 69 6f 6e 20 32 3c es.of.tangent.point,.solution.2<
205640 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 /TD>.</TR>.<TR.VALIGN="TOP"><TD.
205660 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 4e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 ALIGN="LEFT"><EM>N</EM></TD>.<TD
205680 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 .ALIGN="LEFT"><B>I</B></TD>.<TD.
2056a0 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 6e 75 6d 62 65 72 20 6f 66 20 73 6f ALIGN="LEFT".NOWRAP>number.of.so
2056c0 6c 75 74 69 6f 6e 73 3a 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 lutions:</TD>.</TR>.<TR.VALIGN="
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205700 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 /TD>.<TD.ALIGN="LEFT"><B></B></T
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205740 20 6e 6f 20 73 6f 6c 75 74 69 6f 6e 73 20 72 65 74 75 72 6e 65 64 20 20 28 6e 6f 74 65 20 32 29 .no.solutions.returned..(note.2)
205760 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
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205800 20 33 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e .3)</TD>.</TR>.<TR.VALIGN="TOP">
205820 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a <TD.ALIGN="LEFT"><EM></EM></TD>.
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2058c0 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 ......<DL>.<DT><STRONG>NOTES:</S
2058e0 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c TRONG>.<DD><DL.COMPACT>.<DT>1..<
205900 44 44 3e 54 68 65 20 76 65 63 74 6f 72 20 56 20 6d 75 73 74 20 62 65 20 6f 66 20 75 6e 69 74 20 DD>The.vector.V.must.be.of.unit.
205920 6c 65 6e 67 74 68 20 6f 72 20 74 68 65 20 72 65 73 75 6c 74 20 77 69 6c 6c 20 62 65 20 77 72 6f length.or.the.result.will.be.wro
205940 6e 67 2e 0a 3c 44 54 3e 32 2e 0a 3c 44 44 3e 43 61 73 65 73 20 77 68 65 72 65 20 74 68 65 72 65 ng..<DT>2..<DD>Cases.where.there
205960 20 69 73 20 6e 6f 20 73 6f 6c 75 74 69 6f 6e 20 63 61 6e 20 6f 6e 6c 79 20 61 72 69 73 65 20 6e .is.no.solution.can.only.arise.n
205980 65 61 72 20 74 68 65 20 70 6f 6c 65 73 2e 0a 46 6f 72 20 65 78 61 6d 70 6c 65 2c 20 69 74 20 69 ear.the.poles..For.example,.it.i
2059a0 73 20 63 6c 65 61 72 6c 79 20 69 6d 70 6f 73 73 69 62 6c 65 20 66 6f 72 20 61 20 73 74 61 72 20 s.clearly.impossible.for.a.star.
2059c0 61 74 20 74 68 65 20 70 6f 6c 65 0a 20 20 20 20 20 20 20 20 69 74 73 65 6c 66 20 74 6f 20 68 61 at.the.pole.........itself.to.ha
2059e0 76 65 20 61 20 6e 6f 6e 2d 7a 65 72 6f 20 58 49 20 76 61 6c 75 65 2e 0a 20 20 3c 44 54 3e 33 2e ve.a.non-zero.XI.value....<DT>3.
205a00 0a 3c 44 44 3e 41 6c 73 6f 20 6e 65 61 72 20 74 68 65 20 70 6f 6c 65 73 2c 20 63 61 73 65 73 20 .<DD>Also.near.the.poles,.cases.
205a20 63 61 6e 20 61 72 69 73 65 20 77 68 65 72 65 20 74 68 65 72 65 20 61 72 65 20 74 77 6f 20 75 73 can.arise.where.there.are.two.us
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205a60 75 6d 65 6e 74 20 4e 20 69 6e 64 69 63 61 74 65 73 20 77 68 65 74 68 65 72 20 74 68 65 20 73 65 ument.N.indicates.whether.the.se
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205ac0 31 0a 20 20 20 20 20 20 20 20 69 6e 64 69 63 61 74 65 73 20 6f 6e 6c 79 20 6f 6e 65 20 75 73 65 1.........indicates.only.one.use
205ae0 66 75 6c 20 73 6f 6c 75 74 69 6f 6e 2c 20 74 68 65 20 75 73 75 61 6c 20 63 61 73 65 3b 20 20 75 ful.solution,.the.usual.case;..u
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205b20 2c 20 74 68 65 20 73 65 63 6f 6e 64 20 73 6f 6c 75 74 69 6f 6e 20 63 61 6e 20 62 65 20 72 65 67 ,.the.second.solution.can.be.reg
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205b80 60 6f 76 65 72 2d 74 68 65 2d 70 6f 6c 65 27 27 20 63 61 73 65 2e 0a 20 20 3c 44 54 3e 34 2e 0a `over-the-pole''.case....<DT>4..
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206980 3e 46 75 74 75 72 65 20 56 65 72 73 69 6f 6e 73 3c 2f 41 3e 0a 3c 42 52 3e 0a 3c 42 3e 55 70 3a >Future.Versions</A>.<BR>.<B>Up:
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207180 6e 6f 64 65 32 2e 68 74 6d 6c 22 3e 49 4e 54 52 4f 44 55 43 54 49 4f 4e 3c 2f 41 3e 0a 3c 42 52 node2.html">INTRODUCTION</A>.<BR
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20dfa0 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c >.<DT><STRONG>ACTION:</STRONG>.<
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20dfe0 61 74 65 73 0a 28 73 69 6e 67 6c 65 20 70 72 65 63 69 73 69 6f 6e 29 2e 0a 3c 50 3e 20 20 20 20 ates.(single.precision)..<P>....
20e000 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 43 41 4c 4c 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c <DT><STRONG>CALL:</STRONG>.<DD><
20e020 54 54 3e 43 41 4c 4c 20 73 6c 61 5f 44 45 32 48 20 28 48 41 2c 20 44 45 43 2c 20 50 48 49 2c 20 TT>CALL.sla_DE2H.(HA,.DEC,.PHI,.
20e040 41 5a 2c 20 45 4c 29 3c 2f 54 54 3e 0a 3c 50 3e 20 20 20 20 20 20 20 3c 2f 44 4c 3e 0a 3c 50 3e AZ,.EL)</TT>.<P>.......</DL>.<P>
20e060 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 47 49 56 45 4e 3a 3c 2f 53 54 .....<DL>.<DT><STRONG>GIVEN:</ST
20e080 52 4f 4e 47 3e 0a 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 RONG>.<DD>.<BR>.<TABLE.CELLPADDI
20e0a0 4e 47 3d 33 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e NG=3>.<TR.VALIGN="TOP"><TD.ALIGN
20e0c0 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 48 41 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 ="LEFT"><EM>HA</EM></TD>.<TH.ALI
20e0e0 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 48 3e 0a 3c 54 44 20 41 4c 49 47 GN="LEFT"><B>R</B></TH>.<TD.ALIG
20e100 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 68 6f 75 72 20 61 6e 67 6c 65 20 28 72 61 64 69 N="LEFT".NOWRAP>hour.angle.(radi
20e120 61 6e 73 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 ans)</TD>.</TR>.<TR.VALIGN="TOP"
20e140 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 44 45 43 3c 2f 45 4d 3e 3c 2f ><TD.ALIGN="LEFT"><EM>DEC</EM></
20e160 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 TD>.<TD.ALIGN="LEFT"><B>R</B></T
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20e1c0 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 VALIGN="TOP"><TD.ALIGN="LEFT"><E
20e1e0 4d 3e 50 48 49 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 M>PHI</EM></TD>.<TD.ALIGN="LEFT"
20e200 3e 3c 42 3e 52 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 ><B>R</B></TD>.<TD.ALIGN="LEFT".
20e220 4e 4f 57 52 41 50 3e 6c 61 74 69 74 75 64 65 20 28 72 61 64 69 61 6e 73 29 3c 2f 54 44 3e 0a 3c NOWRAP>latitude.(radians)</TD>.<
20e240 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a /TR>.</TABLE></DL>.<P>.....<DL>.
20e260 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c <DT><STRONG>RETURNED:</STRONG>.<
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20e2c0 3e 3c 45 4d 3e 41 5a 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 ><EM>AZ</EM></TD>.<TH.ALIGN="LEF
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20e3c0 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 ......<DL>.<DT><STRONG>NOTES:</S
20e3e0 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c TRONG>.<DD><DL.COMPACT>.<DT>1..<
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20e4e0 69 66 22 0a 20 41 4c 54 3d 22 24 2b 5c 70 69 2f 32 24 22 3e 2e 20 20 45 6c 65 76 61 74 69 6f 6e if"..ALT="$+\pi/2$">...Elevation
20e500 20 69 73 20 72 65 74 75 72 6e 65 64 20 69 6e 20 74 68 65 20 72 61 6e 67 65 0a 3c 49 4d 47 20 57 .is.returned.in.the.range.<IMG.W
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20e560 0a 20 41 4c 54 3d 22 24 5c 70 6d 20 5c 70 69 24 22 3e 2e 20 20 3c 44 54 3e 32 2e 0a 3c 44 44 3e ..ALT="$\pm.\pi$">...<DT>2..<DD>
20e580 54 68 65 20 6c 61 74 69 74 75 64 65 20 6d 75 73 74 20 62 65 20 67 65 6f 64 65 74 69 63 2e 20 20 The.latitude.must.be.geodetic...
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20e5c0 20 20 63 6f 72 72 65 63 74 69 6f 6e 73 20 66 6f 72 20 70 6f 6c 61 72 20 6d 6f 74 69 6f 6e 20 73 ..corrections.for.polar.motion.s
20e5e0 68 6f 75 6c 64 20 62 65 20 61 70 70 6c 69 65 64 2e 0a 20 20 3c 44 54 3e 33 2e 0a 3c 44 44 3e 49 hould.be.applied....<DT>3..<DD>I
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2121e0 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 .<DT><STRONG>ACTION:</STRONG>.<D
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212360 61 73 20 4d 6f 64 69 66 69 65 64 20 4a 75 6c 69 61 6e 20 44 61 74 65 0a 28 4a 44 2d 32 34 30 30 as.Modified.Julian.Date.(JD-2400
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2123a0 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 <P>.....<DL>.<DT><STRONG>RETURNE
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212420 0a 3c 54 48 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 44 28 33 2c 33 29 3c 2f 42 3e 3c .<TH.ALIGN="LEFT"><B>D(3,3)</B><
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212460 61 74 69 6f 6e 20 6d 61 74 72 69 78 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e ation.matrix</TD>.</TR>.</TABLE>
212480 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e </DL>.<P>......<DL>.<DT><STRONG>
2124a0 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e NOTES:</STRONG>.<DD><DL.COMPACT>
2124c0 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e 52 4d 41 54 20 69 73 20 6d 61 74 72 69 78 20 3c 42 3e 4d 3c .<DT>1..<DD>RMAT.is.matrix.<B>M<
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212580 76 3c 2f 42 3e 3c 53 55 42 3e 3c 49 3e 65 71 75 3c 2f 49 3e 3c 2f 53 55 42 3e 2e 0a 3c 44 54 3e v</B><SUB><I>equ</I></SUB>..<DT>
2125a0 32 2e 0a 3c 44 44 3e 54 68 65 20 65 71 75 61 74 6f 72 2c 20 65 71 75 69 6e 6f 78 20 61 6e 64 20 2..<DD>The.equator,.equinox.and.
2125c0 65 63 6c 69 70 74 69 63 20 61 72 65 20 6d 65 61 6e 20 6f 66 20 64 61 74 65 2e 0a 20 3c 2f 44 4c ecliptic.are.mean.of.date...</DL
2125e0 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e ></DL>.<P>.....<DL>.<DT><STRONG>
212600 52 45 46 45 52 45 4e 43 45 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 4d 75 72 72 61 79 2c 20 REFERENCE:</STRONG>.<DD>Murray,.
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217d60 74 6f 74 61 6c 20 65 6e 65 72 67 79 20 6f 66 20 74 68 65 20 6f 72 62 69 74 20 28 3c 49 4d 47 20 total.energy.of.the.orbit.(<IMG.
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218200 3e 0a 3c 54 44 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 >.<TD></TD>.<TD.ALIGN="LEFT".NOW
218220 52 41 50 3e 64 61 74 65 20 28 3c 49 3e 74 3c 2f 49 3e 29 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c RAP>date.(<I>t</I>)</TD>.</TR>.<
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2182a0 75 6e 69 76 65 72 73 61 6c 20 65 63 63 65 6e 74 72 69 63 20 61 6e 6f 6d 61 6c 79 20 28 3c 49 4d universal.eccentric.anomaly.(<IM
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218320 70 72 6f 78 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 prox</TD>.</TR>.<TR.VALIGN="TOP"
218340 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 ><TD.ALIGN="LEFT">&nbsp;</TD>.<T
218360 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c 54 44 20 41 D.ALIGN="LEFT">&nbsp;</TD>.<TD.A
218380 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 26 6e 62 73 70 3b 3c 2f 54 44 3e 0a 3c LIGN="LEFT".NOWRAP>&nbsp;</TD>.<
2183a0 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d /TR>.<TR.VALIGN="TOP"><TD.ALIGN=
2183c0 22 4c 45 46 54 22 3e 3c 45 4d 3e 4a 53 54 41 54 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 "LEFT"><EM>JSTAT</EM></TD>.<TD.A
2183e0 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 49 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c LIGN="LEFT"><B>I</B></TD>.<TD.AL
218400 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 73 74 61 74 75 73 3a 3c 2f 54 44 3e 0a 3c IGN="LEFT".NOWRAP>status:</TD>.<
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218480 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 20 20 20 20 20 30 20 3d 20 4f 4b 3c 2f 54 44 3e 0a EFT".NOWRAP>........0.=.OK</TD>.
2184a0 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e </TR>.<TR.VALIGN="TOP"><TD.ALIGN
2184c0 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e ="LEFT"><EM></EM></TD>.<TD.ALIGN
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218500 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 2d 31 20 3d 20 69 6c 6c 65 67 61 6c 20 4a 46 4f LEFT".NOWRAP>...-1.=.illegal.JFO
218520 52 4d 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c RM</TD>.</TR>.<TR.VALIGN="TOP"><
218540 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c TD.ALIGN="LEFT"><EM></EM></TD>.<
218560 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 TD.ALIGN="LEFT"><B></B></TD>.<TD
218580 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 20 2d 32 20 3d 20 69 6c .ALIGN="LEFT".NOWRAP>....-2.=.il
2185a0 6c 65 67 61 6c 20 45 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 legal.E</TD>.</TR>.<TR.VALIGN="T
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2185e0 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e 3c 2f 42 3e 3c 2f 54 44 TD>.<TD.ALIGN="LEFT"><B></B></TD
218600 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 20 20 20 20 2d 33 >.<TD.ALIGN="LEFT".NOWRAP>....-3
218620 20 3d 20 69 6c 6c 65 67 61 6c 20 41 4f 52 51 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 .=.illegal.AORQ</TD>.</TR>.<TR.V
218640 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 45 4d ALIGN="TOP"><TD.ALIGN="LEFT"><EM
218660 3e 3c 2f 45 4d 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 3e 3c 42 3e ></EM></TD>.<TD.ALIGN="LEFT"><B>
218680 3c 2f 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 </B></TD>.<TD.ALIGN="LEFT".NOWRA
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2186c0 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 .<TR.VALIGN="TOP"><TD.ALIGN="LEF
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218720 20 4e 4f 57 52 41 50 3e 20 20 20 20 2d 35 20 3d 20 6e 75 6d 65 72 69 63 61 6c 20 65 72 72 6f 72 .NOWRAP>....-5.=.numerical.error
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218760 20 20 20 3c 44 4c 3e 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 4e 4f 54 45 53 3a 3c 2f 53 54 52 4f ...<DL>.<DT><STRONG>NOTES:</STRO
218780 4e 47 3e 0a 3c 44 44 3e 3c 44 4c 20 43 4f 4d 50 41 43 54 3e 0a 3c 44 54 3e 31 2e 0a 3c 44 44 3e NG>.<DD><DL.COMPACT>.<DT>1..<DD>
2187a0 54 68 65 20 60 60 75 6e 69 76 65 72 73 61 6c 27 27 20 65 6c 65 6d 65 6e 74 73 20 61 72 65 20 74 The.``universal''.elements.are.t
2187c0 68 6f 73 65 20 77 68 69 63 68 20 64 65 66 69 6e 65 20 74 68 65 20 6f 72 62 69 74 20 66 6f 72 0a hose.which.define.the.orbit.for.
2187e0 74 68 65 20 70 75 72 70 6f 73 65 73 20 6f 66 20 74 68 65 20 6d 65 74 68 6f 64 20 6f 66 20 75 6e the.purposes.of.the.method.of.un
218800 69 76 65 72 73 61 6c 20 76 61 72 69 61 62 6c 65 73 20 28 73 65 65 20 72 65 66 65 72 65 6e 63 65 iversal.variables.(see.reference
218820 29 2e 0a 54 68 65 79 20 63 6f 6e 73 69 73 74 20 6f 66 20 74 68 65 20 63 6f 6d 62 69 6e 65 64 20 )..They.consist.of.the.combined.
218840 6d 61 73 73 20 6f 66 20 74 68 65 20 74 77 6f 20 62 6f 64 69 65 73 2c 20 61 6e 20 65 70 6f 63 68 mass.of.the.two.bodies,.an.epoch
218860 2c 0a 20 20 20 20 20 20 20 20 61 6e 64 20 74 68 65 20 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 ,.........and.the.position.and.v
218880 65 6c 6f 63 69 74 79 20 76 65 63 74 6f 72 73 20 28 61 72 62 69 74 72 61 72 79 20 72 65 66 65 72 elocity.vectors.(arbitrary.refer
2188a0 65 6e 63 65 20 66 72 61 6d 65 29 0a 20 20 20 20 20 20 20 20 61 74 20 74 68 61 74 20 65 70 6f 63 ence.frame).........at.that.epoc
2188c0 68 2e 20 20 54 68 65 20 70 61 72 61 6d 65 74 65 72 20 73 65 74 20 75 73 65 64 20 68 65 72 65 20 h...The.parameter.set.used.here.
2188e0 69 6e 63 6c 75 64 65 73 20 61 6c 73 6f 20 76 61 72 69 6f 75 73 0a 20 20 20 20 20 20 20 20 71 75 includes.also.various.........qu
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218960 65 6e 20 74 6f 20 61 76 6f 69 64 69 6e 67 20 75 6e 6e 65 63 65 73 73 61 72 79 0a 20 20 20 20 20 en.to.avoiding.unnecessary......
218980 20 20 20 63 6f 6d 70 75 74 61 74 69 6f 6e 20 61 6e 64 20 6c 6f 73 73 20 6f 66 20 61 63 63 75 72 ...computation.and.loss.of.accur
2189a0 61 63 79 2e 20 20 54 68 65 20 73 75 70 70 6c 65 6d 65 6e 74 61 72 79 20 71 75 61 6e 74 69 74 69 acy...The.supplementary.quantiti
2189c0 65 73 0a 20 20 20 20 20 20 20 20 61 72 65 20 28 69 29 26 6e 62 73 70 3b 3c 49 4d 47 20 57 49 44 es.........are.(i)&nbsp;<IMG.WID
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218a60 65 0a 20 20 20 20 20 20 20 20 6f 72 62 69 74 2c 20 28 69 69 29 26 6e 62 73 70 3b 74 68 65 20 68 e.........orbit,.(ii)&nbsp;the.h
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218aa0 20 20 20 20 20 20 20 28 69 69 69 29 26 6e 62 73 70 3b 74 68 65 20 6f 75 74 77 61 72 64 73 20 63 .......(iii)&nbsp;the.outwards.c
218ac0 6f 6d 70 6f 6e 65 6e 74 20 6f 66 20 74 68 65 20 76 65 6c 6f 63 69 74 79 20 61 74 20 74 68 65 20 omponent.of.the.velocity.at.the.
218ae0 67 69 76 65 6e 20 65 70 6f 63 68 2c 0a 20 20 20 20 20 20 20 20 28 69 76 29 26 6e 62 73 70 3b 61 given.epoch,.........(iv)&nbsp;a
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218b80 61 6e 6f 6d 61 6c 79 27 27 20 61 74 20 61 0a 20 20 20 20 20 20 20 20 67 69 76 65 6e 20 64 61 74 anomaly''.at.a.........given.dat
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218bc0 32 2e 0a 3c 44 44 3e 54 68 65 20 63 6f 6d 70 61 6e 69 6f 6e 20 72 6f 75 74 69 6e 65 20 69 73 20 2..<DD>The.companion.routine.is.
218be0 73 6c 61 5f 55 45 32 50 56 2e 20 20 54 68 69 73 20 74 61 6b 65 73 20 74 68 65 20 73 65 74 20 6f sla_UE2PV...This.takes.the.set.o
218c00 66 20 6e 75 6d 62 65 72 73 0a 20 20 20 20 20 20 20 20 74 68 61 74 20 74 68 65 20 70 72 65 73 65 f.numbers.........that.the.prese
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218c40 20 74 6f 20 64 65 72 69 76 65 20 74 68 65 0a 20 20 20 20 20 20 20 20 6f 62 6a 65 63 74 27 73 20 .to.derive.the.........object's.
218c60 70 6f 73 69 74 69 6f 6e 20 61 6e 64 20 76 65 6c 6f 63 69 74 79 2e 20 20 41 20 73 69 6e 67 6c 65 position.and.velocity...A.single
218c80 20 70 72 65 64 69 63 74 69 6f 6e 20 72 65 71 75 69 72 65 73 20 6f 6e 65 0a 20 20 20 20 20 20 20 .prediction.requires.one........
218ca0 20 63 61 6c 6c 20 74 6f 20 74 68 65 20 70 72 65 73 65 6e 74 20 72 6f 75 74 69 6e 65 20 66 6f 6c .call.to.the.present.routine.fol
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218ce0 20 20 20 20 20 20 20 20 66 6f 72 20 63 6f 6e 76 65 6e 69 65 6e 63 65 2c 20 74 68 65 20 74 77 6f ........for.convenience,.the.two
218d00 20 63 61 6c 6c 73 20 61 72 65 20 70 61 63 6b 61 67 65 64 20 61 73 20 74 68 65 20 72 6f 75 74 69 .calls.are.packaged.as.the.routi
218d20 6e 65 0a 20 20 20 20 20 20 20 20 73 6c 61 5f 50 4c 41 4e 45 4c 2e 20 20 4d 75 6c 74 69 70 6c 65 ne.........sla_PLANEL...Multiple
218d40 20 70 72 65 64 69 63 74 69 6f 6e 73 20 6d 61 79 20 62 65 20 6d 61 64 65 20 62 79 20 61 67 61 69 .predictions.may.be.made.by.agai
218d60 6e 20 63 61 6c 6c 69 6e 67 20 74 68 65 0a 20 20 20 20 20 20 20 20 70 72 65 73 65 6e 74 20 72 6f n.calling.the.........present.ro
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21cbc0 4c 41 5f 45 50 4a 20 2d 20 4d 4a 44 20 74 6f 20 4a 75 6c 69 61 6e 20 45 70 6f 63 68 3c 2f 41 3e LA_EPJ.-.MJD.to.Julian.Epoch</A>
21cbe0 0a 3c 42 52 3e 0a 3c 42 3e 55 70 3a 3c 2f 42 3e 20 3c 41 20 4e 41 4d 45 3d 22 74 65 78 32 68 74 .<BR>.<B>Up:</B>.<A.NAME="tex2ht
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21cd00 45 50 43 4f 20 2d 20 43 6f 6e 76 65 72 74 20 45 70 6f 63 68 20 74 6f 20 42 20 6f 72 20 4a 3c 2f EPCO.-.Convert.Epoch.to.B.or.J</
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21cd80 3e 41 43 54 49 4f 4e 3a 3c 2f 53 54 52 4f 4e 47 3e 0a 3c 44 44 3e 43 6f 6e 76 65 72 74 20 61 6e >ACTION:</STRONG>.<DD>Convert.an
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21ce00 6e 62 73 70 3b 73 6c 61 5f 45 50 43 4f 20 28 4b 30 2c 20 4b 2c 20 45 29 3c 2f 54 54 3e 0a 3c 50 nbsp;sla_EPCO.(K0,.K,.E)</TT>.<P
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21cf60 42 3e 3c 2f 54 44 3e 0a 3c 54 44 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e B></TD>.<TD.ALIGN="LEFT".NOWRAP>
21cf80 66 6f 72 6d 20 6f 66 20 67 69 76 65 6e 20 65 70 6f 63 68 3a 20 20 60 42 27 20 6f 72 20 60 4a 27 form.of.given.epoch:..`B'.or.`J'
21cfa0 3c 2f 54 44 3e 0a 3c 2f 54 52 3e 0a 3c 54 52 20 56 41 4c 49 47 4e 3d 22 54 4f 50 22 3e 3c 54 44 </TD>.</TR>.<TR.VALIGN="TOP"><TD
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21d000 20 41 4c 49 47 4e 3d 22 4c 45 46 54 22 20 4e 4f 57 52 41 50 3e 65 70 6f 63 68 3c 2f 54 44 3e 0a .ALIGN="LEFT".NOWRAP>epoch</TD>.
21d020 3c 2f 54 52 3e 0a 3c 2f 54 41 42 4c 45 3e 3c 2f 44 4c 3e 0a 3c 50 3e 20 20 20 20 20 3c 44 4c 3e </TR>.</TABLE></DL>.<P>.....<DL>
21d040 0a 3c 44 54 3e 3c 53 54 52 4f 4e 47 3e 52 45 54 55 52 4e 45 44 3a 3c 2f 53 54 52 4f 4e 47 3e 0a .<DT><STRONG>RETURNED:</STRONG>.
21d060 3c 44 44 3e 0a 3c 42 52 3e 0a 3c 54 41 42 4c 45 20 43 45 4c 4c 50 41 44 44 49 4e 47 3d 33 3e 0a <DD>.<BR>.<TABLE.CELLPADDING=3>.
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