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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html401/loose.dtd">
<html>
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<head>
<title>julian</title>
<meta name="description" content="julian">
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<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Top"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="SEC_Top"></a>
<h1 class="settitle">julian</h1>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top"><a href="#Introduction-to-julian">1.1 Introduction to julian</a></td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="#Function-and-variable-index">A. Function and variable index</a></td><td> </td><td align="left" valign="top">
</td></tr>
</table>
<hr size="1">
<a name="julian"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Top" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="#Introduction-to-julian" title="Next section in reading order"> > </a>]</td>
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<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<h1 class="chapter">1. julian</h1>
<hr size="6">
<a name="Introduction-to-julian"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#julian" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="#Definitions-for-julian" title="Next section in reading order"> > </a>]</td>
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<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Introduction-to-julian-1"></a>
<h2 class="section">1.1 Introduction to julian</h2>
<p><code>julian</code> returns the number of elapsed days since January 1, 4713 BC. Note that
the conventional calendar changed in October 1582 due to the adoption of the Gregorian calendar.
The algorithm is based on Peter Duffett-Smith “Astronomy with your personal computer”,
2nd edition. In this algorithm, there is no year 0 B.C. The Macsyma tests is from Jean Meeus
“Astronomical Algorithms”, which uses a year 0 B.C. convention. Users should be careful
when using years <=0.
</p>
<hr size="6">
<a name="Definitions-for-julian"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Introduction-to-julian" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Next section in reading order"> > </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="#julian" title="Beginning of this chapter or previous chapter"> << </a>]</td>
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<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Next chapter"> >> </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Definitions-for-julian-1"></a>
<h2 class="section">1.2 Definitions for julian</h2>
<dl>
<dt><a name="index-julian"></a><u>Function:</u> <b>julian</b><i>(<var>day</var>, <var>month</var>, <var>year</var>)</i></dt>
<dd><p>Returns the Julian day number.
</p></dd></dl>
<dl>
<dt><a name="index-modified_005fjulian"></a><u>Function:</u> <b>modified_julian</b><i>(<var>day</var>, <var>month</var>, <var>year</var>)</i></dt>
<dd><p>Returns a modified Julian day number that is offset by 2.4 million days.
</p></dd></dl>
<dl>
<dt><a name="index-julian1900"></a><u>Function:</u> <b>julian1900</b><i>(<var>day</var>, <var>month</var>, <var>year</var>)</i></dt>
<dd><p>Returns the number of Julian days since 1900 A.D.
</p></dd></dl>
<dl>
<dt><a name="index-julian1904"></a><u>Function:</u> <b>julian1904</b><i>(<var>day</var>, <var>month</var>, <var>year</var>)</i></dt>
<dd><p>Returns the number of Julian days since 1904 A.D.
</p></dd></dl>
<dl>
<dt><a name="index-iso8601"></a><u>Function:</u> <b>iso8601</b><i>(<var>day</var>, <var>month</var>, <var>year</var>)</i></dt>
<dd><p>The iso8601 standard and the proleptic Gregorian calendar,
extends the Gregorian calendar backward from 1582. Julian days start at noon in Greenwich on November 24, 4714 B.C.
</p></dd></dl>
<dl>
<dt><a name="index-calendar"></a><u>Function:</u> <b>calendar</b><i>(<var>julianDay</var>)</i></dt>
<dd><p>Returns the [day, month, year] given a Julian day number.
</p></dd></dl>
<dl>
<dt><a name="index-calendar8601"></a><u>Function:</u> <b>calendar8601</b><i>(<var>julianDay</var>)</i></dt>
<dd><p>Returns the [day, month, year] given a iso8601 day number.
</p></dd></dl>
<dl>
<dt><a name="index-emacs_005fabsolute_005fday"></a><u>Function:</u> <b>emacs_absolute_day</b><i>(<var>day</var>, <var>month</var>, <var>year</var>)</i></dt>
<dd><p>Returns an emacs day number given day, month, year.
</p></dd></dl>
<dl>
<dt><a name="index-centuries_005fj2000"></a><u>Function:</u> <b>centuries_j2000</b><i>(<var>jd</var>)</i></dt>
<dd><p>Returns the number of centuries since 1 January 2000.
</p></dd></dl>
<dl>
<dt><a name="index-sind"></a><u>Function:</u> <b>sind</b><i>(<var>x</var>)</i></dt>
<dd><p>Returns sin of the argument given in degrees.
</p></dd></dl>
<dl>
<dt><a name="index-cosd"></a><u>Function:</u> <b>cosd</b><i>(<var>x</var>)</i></dt>
<dd><p>Returns cos of the argument given in degrees.
</p></dd></dl>
<dl>
<dt><a name="index-day"></a><u>Variable:</u> <b>day</b></dt>
<dd><p>The day of the month.
</p></dd></dl>
<dl>
<dt><a name="index-dec"></a><u>Variable:</u> <b>dec</b></dt>
<dd><p>Declination in degrees.
</p></dd></dl>
<dl>
<dt><a name="index-E"></a><u>Variable:</u> <b>E</b></dt>
<dd><p>Equation of time in minutes.
</p></dd></dl>
<dl>
<dt><a name="index-jd"></a><u>Variable:</u> <b>jd</b></dt>
<dd><p>Julian day number.
</p></dd></dl>
<dl>
<dt><a name="index-julianDay"></a><u>Variable:</u> <b>julianDay</b></dt>
<dd><p>Julian day number.
</p></dd></dl>
<dl>
<dt><a name="index-month"></a><u>Variable:</u> <b>month</b></dt>
<dd><p>month of year.
</p></dd></dl>
<dl>
<dt><a name="index-T"></a><u>Variable:</u> <b>T</b></dt>
<dd><p>(Fractional) number of centuries since 1 January 2000.
</p></dd></dl>
<dl>
<dt><a name="index-UT"></a><u>Variable:</u> <b>UT</b></dt>
<dd><p>Universal time in hours.
</p></dd></dl>
<dl>
<dt><a name="index-year"></a><u>Variable:</u> <b>year</b></dt>
<dd><p>Year number.
</p></dd></dl>
<hr size="6">
<a name="Function-and-variable-index"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Definitions-for-julian" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[ > ]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="#julian" title="Beginning of this chapter or previous chapter"> << </a>]</td>
<td valign="middle" align="left">[<a href="#Top" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[ >> ]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Function-and-variable-index-1"></a>
<h1 class="appendix">A. Function and variable index</h1>
<table><tr><th valign="top">Jump to: </th><td><a href="#Function-and-variable-index-1_fn_letter-C" class="summary-letter"><b>C</b></a>
<a href="#Function-and-variable-index-1_fn_letter-E" class="summary-letter"><b>E</b></a>
<a href="#Function-and-variable-index-1_fn_letter-I" class="summary-letter"><b>I</b></a>
<a href="#Function-and-variable-index-1_fn_letter-J" class="summary-letter"><b>J</b></a>
<a href="#Function-and-variable-index-1_fn_letter-M" class="summary-letter"><b>M</b></a>
<a href="#Function-and-variable-index-1_fn_letter-S" class="summary-letter"><b>S</b></a>
</td></tr></table>
<table border="0" class="index-fn">
<tr><td></td><th align="left">Index Entry</th><th align="left"> Section</th></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_fn_letter-C">C</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-calendar"><code>calendar</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td></td><td valign="top"><a href="#index-calendar8601"><code>calendar8601</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td></td><td valign="top"><a href="#index-centuries_005fj2000"><code>centuries_j2000</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td></td><td valign="top"><a href="#index-cosd"><code>cosd</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_fn_letter-E">E</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-emacs_005fabsolute_005fday"><code>emacs_absolute_day</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_fn_letter-I">I</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-iso8601"><code>iso8601</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_fn_letter-J">J</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-julian"><code>julian</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td></td><td valign="top"><a href="#index-julian1900"><code>julian1900</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td></td><td valign="top"><a href="#index-julian1904"><code>julian1904</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_fn_letter-M">M</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-modified_005fjulian"><code>modified_julian</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_fn_letter-S">S</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-sind"><code>sind</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
</table>
<table><tr><th valign="top">Jump to: </th><td><a href="#Function-and-variable-index-1_fn_letter-C" class="summary-letter"><b>C</b></a>
<a href="#Function-and-variable-index-1_fn_letter-E" class="summary-letter"><b>E</b></a>
<a href="#Function-and-variable-index-1_fn_letter-I" class="summary-letter"><b>I</b></a>
<a href="#Function-and-variable-index-1_fn_letter-J" class="summary-letter"><b>J</b></a>
<a href="#Function-and-variable-index-1_fn_letter-M" class="summary-letter"><b>M</b></a>
<a href="#Function-and-variable-index-1_fn_letter-S" class="summary-letter"><b>S</b></a>
</td></tr></table>
<table><tr><th valign="top">Jump to: </th><td><a href="#Function-and-variable-index-1_vr_letter-D" class="summary-letter"><b>D</b></a>
<a href="#Function-and-variable-index-1_vr_letter-E" class="summary-letter"><b>E</b></a>
<a href="#Function-and-variable-index-1_vr_letter-J" class="summary-letter"><b>J</b></a>
<a href="#Function-and-variable-index-1_vr_letter-M" class="summary-letter"><b>M</b></a>
<a href="#Function-and-variable-index-1_vr_letter-T" class="summary-letter"><b>T</b></a>
<a href="#Function-and-variable-index-1_vr_letter-U" class="summary-letter"><b>U</b></a>
<a href="#Function-and-variable-index-1_vr_letter-Y" class="summary-letter"><b>Y</b></a>
</td></tr></table>
<table border="0" class="index-vr">
<tr><td></td><th align="left">Index Entry</th><th align="left"> Section</th></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_vr_letter-D">D</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-day"><code>day</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td></td><td valign="top"><a href="#index-dec"><code>dec</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_vr_letter-E">E</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-E"><code>E</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_vr_letter-J">J</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-jd"><code>jd</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td></td><td valign="top"><a href="#index-julianDay"><code>julianDay</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_vr_letter-M">M</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-month"><code>month</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_vr_letter-T">T</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-T"><code>T</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_vr_letter-U">U</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-UT"><code>UT</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
<tr><th><a name="Function-and-variable-index-1_vr_letter-Y">Y</a></th><td></td><td></td></tr>
<tr><td></td><td valign="top"><a href="#index-year"><code>year</code></a></td><td valign="top"><a href="#Definitions-for-julian">1.2 Definitions for julian</a></td></tr>
<tr><td colspan="3"> <hr></td></tr>
</table>
<table><tr><th valign="top">Jump to: </th><td><a href="#Function-and-variable-index-1_vr_letter-D" class="summary-letter"><b>D</b></a>
<a href="#Function-and-variable-index-1_vr_letter-E" class="summary-letter"><b>E</b></a>
<a href="#Function-and-variable-index-1_vr_letter-J" class="summary-letter"><b>J</b></a>
<a href="#Function-and-variable-index-1_vr_letter-M" class="summary-letter"><b>M</b></a>
<a href="#Function-and-variable-index-1_vr_letter-T" class="summary-letter"><b>T</b></a>
<a href="#Function-and-variable-index-1_vr_letter-U" class="summary-letter"><b>U</b></a>
<a href="#Function-and-variable-index-1_vr_letter-Y" class="summary-letter"><b>Y</b></a>
</td></tr></table>
<hr size="6">
<a name="SEC_About"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="#Function-and-variable-index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="#SEC_About" title="About (help)"> ? </a>]</td>
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<h1>About This Document</h1>
<p>
This document was generated by <em>Nicholas Strauss</em> on <em>August 4, 2016</em> using <a href="http://www.nongnu.org/texi2html/"><em>texi2html 1.82</em></a>.
</p>
<p>
The buttons in the navigation panels have the following meaning:
</p>
<table border="1">
<tr>
<th> Button </th>
<th> Name </th>
<th> Go to </th>
<th> From 1.2.3 go to</th>
</tr>
<tr>
<td align="center"> [ < ] </td>
<td align="center">Back</td>
<td>Previous section in reading order</td>
<td>1.2.2</td>
</tr>
<tr>
<td align="center"> [ > ] </td>
<td align="center">Forward</td>
<td>Next section in reading order</td>
<td>1.2.4</td>
</tr>
<tr>
<td align="center"> [ << ] </td>
<td align="center">FastBack</td>
<td>Beginning of this chapter or previous chapter</td>
<td>1</td>
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<tr>
<td align="center"> [ Up ] </td>
<td align="center">Up</td>
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<td>Cover (top) of document</td>
<td> </td>
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<tr>
<td align="center"> [Contents] </td>
<td align="center">Contents</td>
<td>Table of contents</td>
<td> </td>
</tr>
<tr>
<td align="center"> [Index] </td>
<td align="center">Index</td>
<td>Index</td>
<td> </td>
</tr>
<tr>
<td align="center"> [ ? ] </td>
<td align="center">About</td>
<td>About (help)</td>
<td> </td>
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<p>
where the <strong> Example </strong> assumes that the current position is at <strong> Subsubsection One-Two-Three </strong> of a document of the following structure:
</p>
<ul>
<li> 1. Section One
<ul>
<li>1.1 Subsection One-One
<ul>
<li>...</li>
</ul>
</li>
<li>1.2 Subsection One-Two
<ul>
<li>1.2.1 Subsubsection One-Two-One</li>
<li>1.2.2 Subsubsection One-Two-Two</li>
<li>1.2.3 Subsubsection One-Two-Three
<strong><== Current Position </strong></li>
<li>1.2.4 Subsubsection One-Two-Four</li>
</ul>
</li>
<li>1.3 Subsection One-Three
<ul>
<li>...</li>
</ul>
</li>
<li>1.4 Subsection One-Four</li>
</ul>
</li>
</ul>
<hr size="1">
<p>
<font size="-1">
This document was generated by <em>Nicholas Strauss</em> on <em>August 4, 2016</em> using <a href="http://www.nongnu.org/texi2html/"><em>texi2html 1.82</em></a>.
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