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diff --git a/src/slalib/sun67.htx/node50.html b/src/slalib/sun67.htx/node50.html new file mode 100644 index 0000000..555de30 --- /dev/null +++ b/src/slalib/sun67.htx/node50.html @@ -0,0 +1,166 @@ +<!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 --> +<HTML> +<HEAD> +<TITLE>SLA_DCMPF - Interpret Linear Fit</TITLE> +<META NAME="description" CONTENT="SLA_DCMPF - Interpret Linear Fit"> +<META NAME="keywords" CONTENT="sun67"> +<META NAME="resource-type" CONTENT="document"> +<META NAME="distribution" CONTENT="global"> +<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso_8859_1"> +<LINK REL="STYLESHEET" HREF="sun67.css"> +<LINK REL="next" HREF="node51.html"> +<LINK REL="previous" HREF="node49.html"> +<LINK REL="up" HREF="node13.html"> +<LINK REL="next" HREF="node51.html"> +</HEAD> +<BODY > +<BR> <HR> +<A NAME="tex2html926" HREF="node51.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A> +<A NAME="tex2html924" HREF="node13.html"> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A> +<A NAME="tex2html918" HREF="node49.html"> +<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="previous_motif.gif"></A> <A HREF="sun67.html#stardoccontents"><IMG ALIGN="BOTTOM" BORDER="0" + SRC="contents_motif.gif"></A> +<BR> +<B> Next:</B> <A NAME="tex2html927" HREF="node51.html">SLA_DCS2C - Spherical to Cartesian</A> +<BR> +<B>Up:</B> <A NAME="tex2html925" HREF="node13.html">SUBPROGRAM SPECIFICATIONS</A> +<BR> +<B> Previous:</B> <A NAME="tex2html919" HREF="node49.html">SLA_DCC2S - Cartesian to Spherical</A> +<BR> <HR> <P> +<P><!--End of Navigation Panel--> +<H2><A NAME="SECTION000437000000000000000">SLA_DCMPF - Interpret Linear Fit</A> +<A NAME="xref_SLA_DCMPF"> </A><A NAME="SLA_DCMPF"> </A> +</H2> + <DL> +<DT><STRONG>ACTION:</STRONG> +<DD>Decompose an <IMG WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img20.gif" + ALT="$[\,x,y\,]$"> linear fit into its constituent parameters: +zero points, scales, nonperpendicularity and orientation. +<P> <DT><STRONG>CALL:</STRONG> +<DD><TT>CALL sla_DCMPF (COEFFS,XZ,YZ,XS,YS,PERP,ORIENT)</TT> +<P> </DL> +<P> <DL> +<DT><STRONG>GIVEN:</STRONG> +<DD> +<BR> +<TABLE CELLPADDING=3> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>COEFFS</EM></TD> +<TH ALIGN="LEFT"><B>D(6)</B></TH> +<TD ALIGN="LEFT" NOWRAP>transformation coefficients (see note)</TD> +</TR> +</TABLE></DL> +<P> <DL> +<DT><STRONG>RETURNED:</STRONG> +<DD> +<BR> +<TABLE CELLPADDING=3> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>XZ</EM></TD> +<TH ALIGN="LEFT"><B>D</B></TH> +<TH ALIGN="LEFT" NOWRAP><I>x</I> zero point</TH> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>YZ</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP><I>y</I> zero point</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>XS</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP><I>x</I> scale</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>YS</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP><I>y</I> scale</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>PERP</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>nonperpendicularity (radians)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>ORIENT</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>orientation (radians)</TD> +</TR> +</TABLE></DL> +<P> <DL> +<DT><STRONG>NOTES:</STRONG> +<DD><DL COMPACT> +<DT>1. +<DD>The model relates two sets of <IMG WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img20.gif" + ALT="$[\,x,y\,]$"> coordinates as follows. +Naming the six elements of COEFFS <I>a</I>,<I>b</I>,<I>c</I>,<I>d</I>,<I>e</I> & <I>f</I>, +the model transforms coordinates <IMG WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img55.gif" + ALT="$[x_{1},y_{1}\,]$"> into coordinates + <IMG WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img56.gif" + ALT="$[x_{2},y_{2}\,]$"> as follows: + <BLOCKQUOTE><I>x<SUB>2</SUB></I> = <I>a</I> + <I>bx<SUB>1</SUB></I> + <I>cy<SUB>1</SUB></I> <BR> + <I>y<SUB>2</SUB></I> = <I>d</I> + <I>ex<SUB>1</SUB></I> + <I>fy<SUB>1</SUB></I></BLOCKQUOTE> + The sla_DCMPF routine decomposes this transformation + into four steps: + <DL COMPACT> +<DT>(a) +<DD>Zero points: +<BLOCKQUOTE><IMG WIDTH="96" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img57.gif" + ALT="$x' = x_{1} + {\rm XZ}$"> <BR> + <IMG WIDTH="94" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img58.gif" + ALT="$y' = y_{1} + {\rm YZ}$"></BLOCKQUOTE> + <DT>(b) +<DD>Scales: + <BLOCKQUOTE><IMG WIDTH="76" HEIGHT="16" ALIGN="BOTTOM" BORDER="0" + SRC="img59.gif" + ALT="$x'' = x' {\rm XS}$"> <BR> + <IMG WIDTH="74" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img60.gif" + ALT="$y'' = y' {\rm YS}$"></BLOCKQUOTE> + <DT>(c) +<DD>Nonperpendicularity: + <BLOCKQUOTE><IMG WIDTH="287" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img61.gif" + ALT="$x''' = + x'' \cos {\rm PERP}/2 + y'' \sin {\rm PERP}/2$"> <BR> + <IMG WIDTH="286" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img62.gif" + ALT="$y''' = + x'' \sin {\rm PERP}/2 + y'' \cos {\rm PERP}/2$"></BLOCKQUOTE> + <DT>(d) +<DD>Orientation: + <BLOCKQUOTE><IMG WIDTH="298" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img63.gif" + ALT="$x_{2} = + x''' \cos {\rm ORIENT} + + y''' \sin {\rm ORIENT}$"> <BR> + <IMG WIDTH="297" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img64.gif" + ALT="$y_{2} = - x''' \sin {\rm ORIENT} + + y''' \cos {\rm ORIENT}$"></BLOCKQUOTE></DL> + <DT>2. +<DD>See also sla_FITXY, sla_PXY, sla_INVF, sla_XY2XY. + </DL></DL> +<BR> <HR> +<A NAME="tex2html926" HREF="node51.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A> +<A NAME="tex2html924" HREF="node13.html"> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A> +<A NAME="tex2html918" HREF="node49.html"> +<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="previous_motif.gif"></A> <A HREF="sun67.html#stardoccontents"><IMG ALIGN="BOTTOM" BORDER="0" + SRC="contents_motif.gif"></A> +<BR> +<B> Next:</B> <A NAME="tex2html927" HREF="node51.html">SLA_DCS2C - Spherical to Cartesian</A> +<BR> +<B>Up:</B> <A NAME="tex2html925" HREF="node13.html">SUBPROGRAM SPECIFICATIONS</A> +<BR> +<B> Previous:</B> <A NAME="tex2html919" HREF="node49.html">SLA_DCC2S - Cartesian to Spherical</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> +</BODY> +</HTML> |