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diff --git a/src/slalib/sun67.htx/node209.html b/src/slalib/sun67.htx/node209.html new file mode 100644 index 0000000..4790dda --- /dev/null +++ b/src/slalib/sun67.htx/node209.html @@ -0,0 +1,147 @@ +<!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>Aberration</TITLE> +<META NAME="description" CONTENT="Aberration"> +<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="node210.html"> +<LINK REL="previous" HREF="node208.html"> +<LINK REL="up" HREF="node197.html"> +<LINK REL="next" HREF="node210.html"> +</HEAD> +<BODY > +<BR> <HR> +<A NAME="tex2html2541" HREF="node210.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A> +<A NAME="tex2html2539" HREF="node197.html"> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A> +<A NAME="tex2html2533" HREF="node208.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="tex2html2542" HREF="node210.html">Different Sorts of Mean Place</A> +<BR> +<B>Up:</B> <A NAME="tex2html2540" HREF="node197.html">EXPLANATION AND EXAMPLES</A> +<BR> +<B> Previous:</B> <A NAME="tex2html2534" HREF="node208.html">Parallax and Radial Velocity</A> +<BR> <HR> <P> +<P><!--End of Navigation Panel--> +<H2><A NAME="SECTION00059000000000000000"> +Aberration</A> +</H2> +The finite speed of light combined with the motion of the observer +around the Sun during the year causes apparent displacements of +the positions of the stars. The effect is called +the <I>annual aberration</I> (or ``stellar'' +aberration). Its maximum size, about + <IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img265.gif" + ALT="$20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$"> , +occurs for stars <IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img22.gif" + ALT="$90^{\circ}$"> from the point towards which +the Earth is headed as it orbits the Sun; a star exactly in line with +the Earth's motion is not displaced. To receive the light of +a star, the telescope has to be offset slightly in the direction of +the Earth's motion. A familiar analogy is the need to tilt your +umbrella forward when on the move, to avoid getting wet. This +Newtonian model is, +in fact, highly misleading in the context of light as opposed +to rain, but happens to give the same answer as a relativistic +treatment to first order (better than 1 milliarcsecond). +<P> +Before the IAU 1976 resolutions, different +values for the approximately +<P> <IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img265.gif" + ALT="$20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$"> <I>aberration constant</I> were employed +at different times, and this can complicate comparisons +between different catalogues. Another complication comes from +the so-called <I>E-terms of aberration</I>, +that small part of the annual aberration correction that is a +function of the eccentricity of the Earth's orbit. The E-terms, +maximum amplitude about + <IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img32.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$"> , +happen to be approximately constant for a given star, and so they +used to be incorporated in the catalogue <IMG WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$[\,\alpha,\delta\,]$">to reduce the labour of converting to and from apparent place. +The E-terms can be removed from a catalogue <IMG WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$[\,\alpha,\delta\,]$"> by +calling +sla_SUBET +or applied (for example to allow a pulsar +timing-position to be plotted on a B1950 finding chart) +by calling +sla_ADDET; +the E-terms vector itself can be obtained by calling +sla_ETRMS. +Star positions post IAU 1976 are free of these distortions, and to +apply corrections for annual aberration involves the actual +barycentric velocity of the Earth rather than the use of +canonical circular-orbit models. +<P> +The annual aberration is the aberration correction for +an imaginary observer at the Earth's centre. +The motion of a real observer around the Earth's rotation axis in +the course of the day makes a small extra contribution to the total +aberration effect called the <I>diurnal aberration</I>. Its +maximum amplitude is about + <IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img76.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$"> . +<P> +No SLALIB routine is provided for calculating the aberration on +its own, though the required velocity vectors can be +generated using +sla_EVP +and +sla_GEOC. +Annual and diurnal aberration are allowed for where required, for example in +sla_MAP +<I>etc</I>. and +sla_AOP +<I>etc</I>. Note that this sort +of aberration is different from the <I>planetary +aberration</I>, which is the apparent displacement of a solar-system +body, with respect to the ephemeris position, as a consequence +of the motion of <I>both</I> the Earth and the source. The +planetary aberration can be computed either by correcting the +position of the solar-system body for light-time, followed by +the ordinary stellar aberration correction, or more +directly by expressing the position and velocity of the source +in the observer's frame and correcting for light-time alone. +<P> +<BR> <HR> +<A NAME="tex2html2541" HREF="node210.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A> +<A NAME="tex2html2539" HREF="node197.html"> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A> +<A NAME="tex2html2533" HREF="node208.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="tex2html2542" HREF="node210.html">Different Sorts of Mean Place</A> +<BR> +<B>Up:</B> <A NAME="tex2html2540" HREF="node197.html">EXPLANATION AND EXAMPLES</A> +<BR> +<B> Previous:</B> <A NAME="tex2html2534" HREF="node208.html">Parallax and Radial Velocity</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> |