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<H2><A NAME="SECTION0004107000000000000000">SLA_HFK5Z - Hipparcos to FK5, no P.M.</A>
<A NAME="xref_SLA_HFK5Z"> </A><A NAME="SLA_HFK5Z"> </A>
</H2>
<DL>
<DT><STRONG>ACTION:</STRONG>
<DD>Transform a Hipparcos star position
into the FK5 (J2000) frame assuming zero Hipparcos proper motion.
<P> <DT><STRONG>CALL:</STRONG>
<DD><TT>CALL sla_HFK5Z (RH,DH,EPOCH,R5,D5,DR5,DD5)</TT>
<P> </DL>
<P> <DL>
<DT><STRONG>GIVEN:</STRONG>
<DD>
<BR>
<TABLE CELLPADDING=3>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>RH</EM></TD>
<TH ALIGN="LEFT"><B>D</B></TH>
<TD ALIGN="LEFT" NOWRAP>Hipparcos <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img24.gif"
ALT="$\alpha$"> (radians)</TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DH</EM></TD>
<TD ALIGN="LEFT"><B>D</B></TD>
<TD ALIGN="LEFT" NOWRAP>Hipparcos <IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img23.gif"
ALT="$\delta$"> (radians)</TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>EPOCH</EM></TD>
<TD ALIGN="LEFT"><B>D</B></TD>
<TD ALIGN="LEFT" NOWRAP>Julian epoch (TDB)</TD>
</TR>
</TABLE></DL>
<P> <DL>
<DT><STRONG>RETURNED:</STRONG>
<DD>
<BR>
<TABLE CELLPADDING=3>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>R5</EM></TD>
<TH ALIGN="LEFT"><B>D</B></TH>
<TD ALIGN="LEFT" NOWRAP>J2000.0 FK5 <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img24.gif"
ALT="$\alpha$"> (radians)</TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>D5</EM></TD>
<TD ALIGN="LEFT"><B>D</B></TD>
<TD ALIGN="LEFT" NOWRAP>J2000.0 FK5 <IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img23.gif"
ALT="$\delta$"> (radians)</TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DR5</EM></TD>
<TD ALIGN="LEFT"><B>D</B></TD>
<TD ALIGN="LEFT" NOWRAP>J2000.0 FK5 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>DD5</EM></TD>
<TD ALIGN="LEFT"><B>D</B></TD>
<TD ALIGN="LEFT" NOWRAP>FK5 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>
</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>The FK5 to Hipparcos
transformation consists of a pure rotation and spin;
zonal errors in the FK5 catalogue are not taken into account.
<DT>3.
<DD>The adopted epoch J2000.0 FK5 to Hipparcos orientation and spin
values are as follows (see reference):
<P> <BR>
<BR>
<BR>
<P>
<TABLE CELLPADDING=3 BORDER="1">
<TR VALIGN="TOP"><TD ALIGN="RIGHT" NOWRAP> </TD>
<TH ALIGN="CENTER" NOWRAP COLSPAN=1><I>orientation</I></TH>
<TH ALIGN="CENTER" NOWRAP COLSPAN=1><I> spin </I></TH>
</TR>
<TR VALIGN="TOP"><TD ALIGN="RIGHT" NOWRAP><I>x</I></TD>
<TD ALIGN="RIGHT" NOWRAP>-19.9 </TD>
<TD ALIGN="RIGHT" NOWRAP> -0.30 </TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="RIGHT" NOWRAP><I>y</I></TD>
<TD ALIGN="RIGHT" NOWRAP>-9.1 </TD>
<TD ALIGN="RIGHT" NOWRAP> +0.60 </TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="RIGHT" NOWRAP><I>z</I></TD>
<TD ALIGN="RIGHT" NOWRAP>+22.9 </TD>
<TD ALIGN="RIGHT" NOWRAP> +0.70 </TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="RIGHT" NOWRAP> </TD>
<TD ALIGN="RIGHT" NOWRAP><I>mas</I> </TD>
<TD ALIGN="RIGHT" NOWRAP> <I>mas/y</I> </TD>
</TR>
</TABLE>
<P> <BR>
<BR>
<BR>
<BR>
<P>
These orientation and spin components are interpreted as
<I>axial vectors.</I> An axial vector points at the pole of
the rotation and its length is the amount of rotation in radians.
The order of the rotations, which are very small,
<DT>4.
<DD>It was the intention that Hipparcos should be a close
approximation to an inertial frame, so that distant objects
have zero proper motion; such objects have (in general)
non-zero proper motion in FK5, and this routine returns those
<I>fictitious proper motions.</I>
<DT>5.
<DD>The position returned by this routine is in the FK5 J2000
reference frame but at Julian epoch EPOCH.
<DT>6.
<DD>See also sla_FK52H, sla_FK5HZ, sla_H2FK5.
</DL></DL>
<P> <DL>
<DT><STRONG>REFERENCE:</STRONG>
<DD>Feissel, M. & Mignard, F., 1998., <I>Astron.Astrophys.</I> <B>331</B>, L33-L36.
</DL>
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<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>
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