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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
+<!--Converted with LaTeX2HTML 97.1 (release) (July 13th, 1997)
+ by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds
+* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
+* with significant contributions from:
+ Jens Lippman, Marek Rouchal, Martin Wilck and others -->
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+<TITLE>SLA_DTP2V - Tangent Plane to Direction Cosines</TITLE>
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+<H2><A NAME="SECTION000464000000000000000">SLA_DTP2V - Tangent Plane to Direction Cosines</A>
+<A NAME="xref_SLA_DTP2V">&#160;</A><A NAME="SLA_DTP2V">&#160;</A>
+</H2>
+ <DL>
+<DT><STRONG>ACTION:</STRONG>
+<DD>Given the tangent-plane coordinates of a star and the direction
+cosines of the tangent point, determine the direction cosines
+ of the star
+ (double precision).
+<P> <DT><STRONG>CALL:</STRONG>
+<DD><TT>CALL sla_DTP2V (XI, ETA, V0, V)</TT>
+<P> </DL>
+<P> <DL>
+<DT><STRONG>GIVEN:</STRONG>
+<DD>
+<BR>
+<TABLE CELLPADDING=3>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>XI,ETA</EM></TD>
+<TH ALIGN="LEFT"><B>D</B></TH>
+<TD ALIGN="LEFT" NOWRAP>tangent plane coordinates of star (radians)</TD>
+</TR>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>V0</EM></TD>
+<TD ALIGN="LEFT"><B>D(3)</B></TD>
+<TD ALIGN="LEFT" NOWRAP>direction cosines of tangent point</TD>
+</TR>
+</TABLE></DL>
+<P> <DL>
+<DT><STRONG>RETURNED:</STRONG>
+<DD>
+<BR>
+<TABLE CELLPADDING=3>
+<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>V</EM></TD>
+<TH ALIGN="LEFT"><B>D(3)</B></TH>
+<TD ALIGN="LEFT" NOWRAP>direction cosines of star</TD>
+</TR>
+</TABLE></DL>
+<P> <DL>
+<DT><STRONG>NOTES:</STRONG>
+<DD><DL COMPACT>
+<DT>1.
+<DD>If vector V0 is not of unit length, the returned vector V will
+be wrong.
+<DT>2.
+<DD>If vector V0 points at a pole, the returned vector V will be
+ based on the arbitrary assumption that <IMG WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img89.gif"
+ ALT="$\alpha=0$"> at
+ the tangent point.
+ <DT>3.
+<DD>The projection is called the <I>gnomonic</I> projection; the
+ Cartesian coordinates <IMG WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
+ SRC="img85.gif"
+ ALT="$[\,\xi,\eta\,]$"> are called
+ <I>standard coordinates.</I> The latter
+ are in units of the distance from the tangent plane to the projection
+ point, <I>i.e.</I> radians near the origin.
+ <DT>4.
+<DD>This routine is the Cartesian equivalent of the routine sla_DTP2S.
+ </DL></DL>
+<BR> <HR>
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+<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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