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+<H2><A NAME="SECTION0004141000000000000000">SLA_PRECL - Precession Matrix (latest)</A>
+<A NAME="xref_SLA_PRECL">&#160;</A><A NAME="SLA_PRECL">&#160;</A>
+</H2>
+ <DL>
+<DT><STRONG>ACTION:</STRONG>
+<DD>Form the matrix of precession between two epochs, using the
+model of Simon <I>et al</I>. (1994), which is suitable for long
+ periods of time.
+<P> <DT><STRONG>CALL:</STRONG>
+<DD><TT>CALL sla_PRECL (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>The absolute accuracy of the model is limited by the
+ uncertainty in the general precession, about
+ <IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
+ SRC="img32.gif"
+ ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$"> per
+ 1000&nbsp;years. The remainder of the formulation provides a
+ precision of 1&nbsp;milliarcsecond over the interval from 1000AD
+ to 3000AD,
+ <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 1000BC to 5000AD and
+ <IMG WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
+ SRC="img140.gif"
+ ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}$"> from 4000BC to 8000AD.
+ </DL></DL>
+<P> <DL>
+<DT><STRONG>REFERENCE:</STRONG>
+<DD>Simon, J.L. <I>et al</I>., 1994. <I>Astr.Astrophys.</I> <B>282</B>,
+663.
+ </DL>
+<BR> <HR>
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+<BR>
+<B> Previous:</B> <A NAME="tex2html1959" HREF="node153.html">SLA_PRECES - Precession</A>
+<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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