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authorJoseph Hunkeler <jhunkeler@gmail.com>2015-03-04 21:21:30 -0500
committerJoseph Hunkeler <jhunkeler@gmail.com>2015-03-04 21:21:30 -0500
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+<TITLE>SLA_FK425 - FK4 to FK5</TITLE>
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+<BR>
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+<P><!--End of Navigation Panel-->
+<H2><A NAME="SECTION000491000000000000000">SLA_FK425 - FK4 to FK5</A>
+<A NAME="xref_SLA_FK425">&#160;</A><A NAME="SLA_FK425">&#160;</A>
+</H2>
+ <DL>
+<DT><STRONG>ACTION:</STRONG>
+<DD>Convert B1950.0 FK4 star data to J2000.0 FK5.
+This routine converts stars from the old, Bessel-Newcomb, FK4
+ system to the new, IAU&nbsp;1976, FK5, Fricke system. The precepts
+ of Smith&nbsp;<I>et&nbsp;al.</I> (see reference&nbsp;1) are followed,
+ using the implementation
+ by Yallop&nbsp;<I>et&nbsp;al.</I> (reference&nbsp;2) of a matrix method
+ due to Standish.
+ Kinoshita's development of Andoyer's post-Newcomb precession is
+ used. The numerical constants from
+ Seidelmann&nbsp;<I>et&nbsp;al.</I> (reference&nbsp;3) are used canonically.
+<P> <DT><STRONG>CALL:</STRONG>
+<DD><TT>CALL sla_FK425 (
+ R1950,D1950,DR1950,DD1950,P1950,V1950,
+ R2000,D2000,DR2000,DD2000,P2000,V2000)</TT>
+<P> </DL>
+<P> <DL>
+<DT><STRONG>GIVEN:</STRONG>
+<DD>
+<BR>
+<TABLE CELLPADDING=3>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>R1950</EM></TD>
+<TH ALIGN="LEFT"><B>D</B></TH>
+<TD ALIGN="LEFT" NOWRAP>B1950.0 <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img24.gif"
+ ALT="$\alpha$"> (radians)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>D1950</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>B1950.0 <IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img23.gif"
+ ALT="$\delta$"> (radians)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DR1950</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>B1950.0 proper motion in <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img24.gif"
+ ALT="$\alpha$">(radians per tropical year)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DD1950</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>B1950.0 proper motion in <IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img23.gif"
+ ALT="$\delta$">(radians per tropical year)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>P1950</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>B1950.0 parallax (arcsec)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>V1950</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>B1950.0 radial velocity (km&nbsp;s<SUP>-1</SUP>, +ve = moving away)</TD>
+</TR>
+</TABLE></DL>
+<P> <DL>
+<DT><STRONG>RETURNED:</STRONG>
+<DD>
+<BR>
+<TABLE CELLPADDING=3>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>R2000</EM></TD>
+<TH ALIGN="LEFT"><B>D</B></TH>
+<TD ALIGN="LEFT" NOWRAP>J2000.0 <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img24.gif"
+ ALT="$\alpha$"> (radians)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>D2000</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>J2000.0 <IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img23.gif"
+ ALT="$\delta$"> (radians)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DR2000</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>J2000.0 proper motion in <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img24.gif"
+ ALT="$\alpha$">(radians per Julian year)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DD2000</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>J2000.0 proper motion in <IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img23.gif"
+ ALT="$\delta$">(radians per Julian year)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>P2000</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>J2000.0 parallax (arcsec)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>V2000</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>J2000.0 radial velocity (km&nbsp;s<SUP>-1</SUP>, +ve = moving away)</TD>
+</TR>
+</TABLE></DL>
+<P> <DL>
+<DT><STRONG>NOTES:</STRONG>
+<DD><DL COMPACT>
+<DT>1.
+<DD>The <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img24.gif"
+ ALT="$\alpha$"> proper motions are <IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img115.gif"
+ ALT="$\dot{\alpha}$"> rather than
+<IMG WIDTH="48" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img116.gif"
+ ALT="$\dot{\alpha}\cos\delta$">, and are per year rather than per century.
+<DT>2.
+<DD>Conversion from Besselian epoch 1950.0 to Julian epoch
+ 2000.0 only is provided for. Conversions involving other
+ epochs will require use of the appropriate precession,
+ proper motion, and E-terms routines before and/or after FK425
+ is called.
+ <DT>3.
+<DD>In the FK4 catalogue the proper motions of stars within
+ <IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img117.gif"
+ ALT="$10^{\circ}$"> of the poles do not include the <I>differential
+ E-terms</I> effect and should, strictly speaking, be handled
+ in a different manner from stars outside these regions.
+ However, given the general lack of homogeneity of the star
+ data available for routine astrometry, the difficulties of
+ handling positions that may have been determined from
+ astrometric fields spanning the polar and non-polar regions,
+ the likelihood that the differential E-terms effect was not
+ taken into account when allowing for proper motion in past
+ astrometry, and the undesirability of a discontinuity in
+ the algorithm, the decision has been made in this routine to
+ include the effect of differential E-terms on the proper
+ motions for all stars, whether polar or not. At epoch J2000,
+ and measuring on the sky rather than in terms of <IMG WIDTH="27" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img118.gif"
+ ALT="$\Delta\alpha$">, the errors resulting from this simplification are less than
+ 1&nbsp;milliarcsecond in position and 1&nbsp;milliarcsecond per
+ century in proper motion.
+ <DT>4.
+<DD>See also sla_FK45Z, sla_FK524, sla_FK54Z.
+ </DL></DL>
+<P> <DL>
+<DT><STRONG>REFERENCES:</STRONG>
+<DD><DL COMPACT>
+<DT>1.
+<DD>Smith, C.A. <I>et al.</I>, 1989. <I>Astr.J.</I> <B>97</B>, 265.
+<DT>2.
+<DD>Yallop, B.D. <I>et al.</I>, 1989. <I>Astr.J.</I> <B>97</B>, 274.
+<DT>3.
+<DD>Seidelmann, P.K. (ed), 1992. <I>Explanatory
+ Supplement to the Astronomical Almanac,</I> ISBN&nbsp;0-935702-68-7.
+ </DL></DL>
+<BR> <HR>
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+ SRC="contents_motif.gif"></A>
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+<B> Next:</B> <A NAME="tex2html1467" HREF="node105.html">SLA_FK45Z - FK4 to FK5, no P.M. or Parallax</A>
+<BR>
+<B>Up:</B> <A NAME="tex2html1465" HREF="node13.html">SUBPROGRAM SPECIFICATIONS</A>
+<BR>
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+<BR> <HR> <P>
+<P><!--End of Navigation Panel-->
+<ADDRESS>
+<I>SLALIB --- Positional Astronomy Library<BR>Starlink User Note 67<BR>P. T. Wallace<BR>12 October 1999<BR>E-mail:ptw@star.rl.ac.uk</I>
+</ADDRESS>
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