diff options
Diffstat (limited to 'src/slalib/sun67.htx/node144.html')
| -rw-r--r-- | src/slalib/sun67.htx/node144.html | 310 |
1 files changed, 310 insertions, 0 deletions
diff --git a/src/slalib/sun67.htx/node144.html b/src/slalib/sun67.htx/node144.html new file mode 100644 index 0000000..eb511e6 --- /dev/null +++ b/src/slalib/sun67.htx/node144.html @@ -0,0 +1,310 @@ +<!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_PERTEL - Perturbed Orbital Elements</TITLE> +<META NAME="description" CONTENT="SLA_PERTEL - Perturbed Orbital Elements"> +<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="node145.html"> +<LINK REL="previous" HREF="node143.html"> +<LINK REL="up" HREF="node13.html"> +<LINK REL="next" HREF="node145.html"> +</HEAD> +<BODY > +<BR> <HR> +<A NAME="tex2html1866" HREF="node145.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A> +<A NAME="tex2html1864" HREF="node13.html"> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A> +<A NAME="tex2html1858" HREF="node143.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="tex2html1867" HREF="node145.html">SLA_PERTUE - Perturbed Universal Elements</A> +<BR> +<B>Up:</B> <A NAME="tex2html1865" HREF="node13.html">SUBPROGRAM SPECIFICATIONS</A> +<BR> +<B> Previous:</B> <A NAME="tex2html1859" HREF="node143.html">SLA_PERMUT - Next Permutation</A> +<BR> <HR> <P> +<P><!--End of Navigation Panel--> +<H2><A NAME="SECTION0004131000000000000000">SLA_PERTEL - Perturbed Orbital Elements</A> +<A NAME="xref_SLA_PERTEL"> </A><A NAME="SLA_PERTEL"> </A> +</H2> + <DL> +<DT><STRONG>ACTION:</STRONG> +<DD>Update the osculating elements of an asteroid or comet by +applying planetary perturbations. +<P> <DT><STRONG>CALL:</STRONG> +<DD><TT>CALL sla_PERTEL ( + JFORM, DATE0, DATE1, + EPOCH0, ORBI0, ANODE0, PERIH0, AORQ0, E0, AM0, + EPOCH1, ORBI1, ANODE1, PERIH1, AORQ1, E1, AM1, + JSTAT)</TT> +<P> </DL> +<P> <DL> +<DT><STRONG>GIVEN (format and dates):</STRONG> +<DD> +<BR> +<TABLE CELLPADDING=3> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>JFORM</EM></TD> +<TH ALIGN="LEFT"><B>I</B></TH> +<TD ALIGN="LEFT" NOWRAP>choice of element set (2 or 3; Note 1)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DATE0</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>date of osculation (TT MJD) for the given</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> elements</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>DATE1</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>date of osculation (TT MJD) for the updated</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> elements</TD> +</TR> +</TABLE></DL> +<P> <DL> +<DT><STRONG>GIVEN (the unperturbed elements):</STRONG> +<DD> +<BR> +<TABLE CELLPADDING=3> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>EPOCH0</EM></TD> +<TH ALIGN="LEFT"><B>D</B></TH> +<TD ALIGN="LEFT" NOWRAP>epoch of the given element set +(<I>t<SUB>0</SUB></I> or <I>T</I>, TT MJD;</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> Note 2)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>ORBI0</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>inclination (<I>i</I>, radians)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>ANODE0</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>longitude of the ascending node (<IMG WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img99.gif" + ALT="$\Omega$">, radians)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>PERIH0</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>argument of perihelion +(<IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img101.gif" + ALT="$\omega$">, radians)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>AORQ0</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>mean distance or perihelion distance (<I>a</I> or <I>q</I>, AU)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>E0</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>eccentricity (<I>e</I>)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>AM0</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>mean anomaly (<I>M</I>, radians, JFORM=2 only)</TD> +</TR> +</TABLE></DL> +<P> <DL> +<DT><STRONG>RETURNED (the updated elements):</STRONG> +<DD> +<BR> +<TABLE CELLPADDING=3> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>EPOCH1</EM></TD> +<TH ALIGN="LEFT"><B>D</B></TH> +<TD ALIGN="LEFT" NOWRAP>epoch of the updated element set +(<I>t<SUB>0</SUB></I> or <I>T</I>,</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> TT MJD; Note 2)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>ORBI1</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>inclination (<I>i</I>, radians)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>ANODE1</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>longitude of the ascending node (<IMG WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img99.gif" + ALT="$\Omega$">, radians)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>PERIH1</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>argument of perihelion +(<IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img101.gif" + ALT="$\omega$">, radians)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>AORQ1</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>mean distance or perihelion distance (<I>a</I> or <I>q</I>, AU)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>E1</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>eccentricity (<I>e</I>)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>AM1</EM></TD> +<TD ALIGN="LEFT"><B>D</B></TD> +<TD ALIGN="LEFT" NOWRAP>mean anomaly (<I>M</I>, radians, JFORM=2 only)</TD> +</TR> +</TABLE></DL> +<P> <DL> +<DT><STRONG>RETURNED (status flag):</STRONG> +<DD> +<BR> +<TABLE CELLPADDING=3> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>JSTAT</EM></TD> +<TH ALIGN="LEFT"><B>I</B></TH> +<TD ALIGN="LEFT" NOWRAP>status:</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> +102 = warning, distant epoch</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> +101 = warning, large timespan +(>100 years)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> +1 to +8 = coincident with major planet +(Note 6)</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> 0 = OK</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> -1 = illegal JFORM</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> -2 = illegal E0</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> -3 = illegal AORQ0</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> -4 = internal error</TD> +</TR> +<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM></EM></TD> +<TD ALIGN="LEFT"><B></B></TD> +<TD ALIGN="LEFT" NOWRAP> -5 = numerical error</TD> +</TR> +</TABLE></DL> +<P> <DL> +<DT><STRONG>NOTES:</STRONG> +<DD><DL COMPACT> +<DT>1. +<DD>Two different element-format options are supported, as follows. <BR> +JFORM=2, suitable for minor planets: +<PRE><TT> + EPOCH = epoch of elements <I>t<SUB>0</SUB></I> (TT MJD) + ORBINC = inclination <I>i</I> (radians) + ANODE = longitude of the ascending node <IMG WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img99.gif" + ALT="$\Omega$"> (radians) + PERIH = argument of perihelion <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img101.gif" + ALT="$\omega$"> (radians) + AORQ = mean distance <I>a</I> (AU) + E = eccentricity <I>e</I> <IMG WIDTH="83" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img106.gif" + ALT="$( 0 \leq e < 1 )$"> + AORL = mean anomaly <I>M</I> (radians) +</TT></PRE> +<P> +JFORM=3, suitable for comets: +<P> <PRE><TT> + EPOCH = epoch of perihelion <I>T</I> (TT MJD) + ORBINC = inclination <I>i</I> (radians) + ANODE = longitude of the ascending node <IMG WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img99.gif" + ALT="$\Omega$"> (radians) + PERIH = argument of perihelion <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img101.gif" + ALT="$\omega$"> (radians) + AORQ = perihelion distance <I>q</I> (AU) + E = eccentricity <I>e</I> <IMG WIDTH="91" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img107.gif" + ALT="$( 0 \leq e \leq 10 )$"></TT></PRE> + <DT>2. +<DD>DATE0, DATE1, EPOCH0 and EPOCH1 are all instants of time in + the TT timescale (formerly Ephemeris Time, ET), expressed + as Modified Julian Dates (JD-2400000.5). + <UL> +<LI> DATE0 is the instant at which the given + (<I>i.e.</I> unperturbed) osculating elements are correct. +<LI> DATE1 is the specified instant at which the updated osculating + elements are correct. +<LI> EPOCH0 and EPOCH1 will be the same as DATE0 and DATE1 + (respectively) for the JFORM=2 case, normally used for minor + planets. For the JFORM=3 case, the two epochs will refer to + perihelion passage and so will not, in general, be the same as + DATE0 and/or DATE1 though they may be similar to one another. + </UL> + <DT>3. +<DD>The elements are with respect to the J2000 ecliptic and mean equinox. + <DT>4. +<DD>Unused elements (AM0 and AM1 for JFORM=3) are not accessed. + <DT>5. +<DD>See the sla_PERTUE routine for details of the algorithm used. + <DT>6. +<DD>This routine is not intended to be used for major planets, which + is why JFORM=1 is not available and why there is no opportunity + to specify either the longitude of perihelion or the daily + motion. However, if JFORM=2 elements are somehow obtained for a + major planet and supplied to the routine, sensible results will, + in fact, be produced. This happens because the sla_PERTUE routine + that is called to perform the calculations checks the separation + between the body and each of the planets and interprets a + suspiciously small value (0.001 AU) as an attempt to apply it to + the planet concerned. If this condition is detected, the + contribution from that planet is ignored, and the status is set to + the planet number (Mercury=1,...,Neptune=8) as a warning. + </DL></DL> +<P> <DL> +<DT><STRONG>REFERENCE:</STRONG> +<DD>Sterne, Theodore E., <I>An Introduction to Celestial Mechanics,</I> +Interscience Publishers, 1960. Section 6.7, p199. + </DL> +<BR> <HR> +<A NAME="tex2html1866" HREF="node145.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A> +<A NAME="tex2html1864" HREF="node13.html"> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A> +<A NAME="tex2html1858" HREF="node143.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="tex2html1867" HREF="node145.html">SLA_PERTUE - Perturbed Universal Elements</A> +<BR> +<B>Up:</B> <A NAME="tex2html1865" HREF="node13.html">SUBPROGRAM SPECIFICATIONS</A> +<BR> +<B> Previous:</B> <A NAME="tex2html1859" HREF="node143.html">SLA_PERMUT - Next Permutation</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> |