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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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+<BR>
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+<BR> <HR> <P>
+<P><!--End of Navigation Panel-->
+<H2><A NAME="SECTION0004139000000000000000">SLA_PREC - Precession Matrix (FK5)</A>
+<A NAME="xref_SLA_PREC">&#160;</A><A NAME="SLA_PREC">&#160;</A>
+</H2>
+ <DL>
+<DT><STRONG>ACTION:</STRONG>
+<DD>Form the matrix of precession between two epochs (IAU 1976, FK5).
+<DT><STRONG>CALL:</STRONG>
+<DD><TT>CALL sla_PREC (EP0, EP1, RMATP)</TT>
+<P> </DL>
+<P> <DL>
+<DT><STRONG>GIVEN:</STRONG>
+<DD>
+<BR>
+<TABLE CELLPADDING=3>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>EP0</EM></TD>
+<TH ALIGN="LEFT"><B>D</B></TH>
+<TD ALIGN="LEFT" NOWRAP>beginning epoch</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>EP1</EM></TD>
+<TD ALIGN="LEFT"><B>D</B></TD>
+<TD ALIGN="LEFT" NOWRAP>ending epoch</TD>
+</TR>
+</TABLE></DL>
+<P> <DL>
+<DT><STRONG>RETURNED:</STRONG>
+<DD>
+<BR>
+<TABLE CELLPADDING=3>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>RMATP</EM></TD>
+<TH ALIGN="LEFT"><B>D(3,3)</B></TH>
+<TD ALIGN="LEFT" NOWRAP>precession matrix</TD>
+</TR>
+</TABLE></DL>
+<P> <DL>
+<DT><STRONG>NOTES:</STRONG>
+<DD><DL COMPACT>
+<DT>1.
+<DD>The epochs are TDB Julian epochs.
+<DT>2.
+<DD>The matrix is in the sense:
+<BLOCKQUOTE><B>v</B><SUB>1</SUB> = <B>M</B><IMG WIDTH="7" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img72.gif"
+ ALT="$\cdot$"><B>v</B><SUB>0</SUB></BLOCKQUOTE>
+ where <B>v</B><SUB>1</SUB> is the star vector relative to the
+ mean equator and equinox of epoch EP1, <B>M</B> is the
+ <IMG WIDTH="39" HEIGHT="25" ALIGN="MIDDLE" BORDER="0"
+ SRC="img18.gif"
+ ALT="$3\times3$"> matrix RMATP and
+ <B>v</B><SUB>0</SUB> is the star vector relative to the
+ mean equator and equinox of epoch EP0.
+ <DT>3.
+<DD>Though the matrix method itself is rigorous, the precession
+ angles are expressed through canonical polynomials which are
+ valid only for a limited time span. There are also known
+ errors in the IAU precession rate. The absolute accuracy
+ of the present formulation is better than
+ <IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
+ SRC="img25.gif"
+ ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$"> from
+ 1960AD to 2040AD, better than <IMG WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
+ SRC="img140.gif"
+ ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}$"> from 1640AD to 2360AD,
+ and remains below <IMG WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
+ SRC="img75.gif"
+ ALT="$3\hspace{-0.05em}^{'\hspace{-0.1em}'}$"> for the whole of the period
+ 500BC to 3000AD. The errors exceed <IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
+ SRC="img74.gif"
+ ALT="$10\hspace{-0.05em}^{'\hspace{-0.1em}'}$"> outside the
+ range 1200BC to 3900AD, exceed <IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
+ SRC="img141.gif"
+ ALT="$100\hspace{-0.05em}^{'\hspace{-0.1em}'}$"> outside 4200BC to
+ 5600AD and exceed <IMG WIDTH="41" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
+ SRC="img142.gif"
+ ALT="$1000\hspace{-0.05em}^{'\hspace{-0.1em}'}$"> outside 6800BC to 8200AD.
+ The SLALIB routine sla_PRECL implements a more elaborate
+ model which is suitable for problems spanning several
+ thousand years.
+ </DL></DL>
+<P> <DL>
+<DT><STRONG>REFERENCES:</STRONG>
+<DD><DL COMPACT>
+<DT>1.
+<DD>Lieske, J.H., 1979. <I>Astr.Astrophys.</I> <B>73</B>, 282;
+equations 6 &amp; 7, p283.
+<DT>2.
+<DD>Kaplan, G.H., 1981. <I>USNO circular no. 163</I>, pA2.
+ </DL></DL>
+<BR> <HR>
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+<BR>
+<B>Up:</B> <A NAME="tex2html1945" 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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