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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">	<html>		<head>			<title>page_320</title>			<link rel="stylesheet" href="reset.css" type="text/css" media="all">			<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />		</head>		<body>		<table summary="top nav" border="0" width="100%">			<tr>				<td align="left" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_319.html">&lt;&nbsp;previous page</a></td>				<td id="ebook_previous" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_320</strong></td>				<td align="right" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_321.html">next page&nbsp;&gt;</a></td>			</tr>					<tr>				<td id="ebook_page" align="left" colspan="3" style="background: #ffffff; padding: 20px;">    <table border="0" width="100%" cellpadding="0"><tr><td align="center">  <table border="0" cellpadding="2" cellspacing="0" width="100%"><tr><td align="left"></td>  <td align="right"></td>  </tr></table></td></tr><tr><td align="left"><p></p><table border="0" cellspacing="0" cellpadding="0" width="100%"><tr><td align="right"><font face="Times New Roman, Times, Serif" size="2" color="#FF0000">Page 320</font></td></tr></table><table cellpadding="0" cellspacing="0" border="0" width="100%"><tr><td height="12"></td></tr><tr><td><table cellspacing="0" width="535" cellpadding="4"><tr><td colspan="2" valign="top"><font face="Times New Roman, Times, Serif" size="1">TABLE</font><font face="Times New Roman, Times, Serif" size="2"> E.1 Clock and Ephemeris Parameter Definitions</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>T</i></font><font face="Times New Roman, Times, Serif" size="1"><sub>GD</sub></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Group delays (s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2">IODC</font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Issue of data, clock</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>t</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>oc</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Clock data reference times (s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>a</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>f2</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Second-order correction to satellite clock (s/s<sup>2</sup>)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>a</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>f1</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">First-order correction to satellite clock (s/s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>a</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>f</sub></font></i><font face="Times New Roman, Times, Serif" size="1"><sub>0</sub></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Constant correction to satellite clock (s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>M</i></font><font face="Times New Roman, Times, Serif" size="1"><sub>0</sub></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Mean anomaly at reference time (semicircles)</font></td></tr><tr><td valign="top"><font face="Symbol" size="2">D</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>n</i></sub></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Mean motion difference from computed value (semicircles/s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>e</i></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Eccentricity (dimensionless)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>A</i><sup>1/2</sup></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Square root of the semimajor axis <img src="276d198397b6df3c44f4bc150af2113b.gif" border="0" alt="C0320-01.GIF" width="27" height="14" /></font></td></tr><tr><td valign="top"><font face="Symbol" size="2">DW</font><font face="Times New Roman, Times, Serif" size="1"><sub>0</sub></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Right ascension at reference time (semicircle)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>i</i></font><font face="Times New Roman, Times, Serif" size="1"><sub>0</sub></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Inclination angle at reference time (semicircle)</font></td></tr><tr><td valign="top"><font face="Symbol" size="2">w</font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Argument of perigee (semicircle)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><img src="d086aee9cce37f7908caac065df02fa7.gif" border="0" alt="C0320-02.GIF" width="23" height="19" /></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Rate of right ascension (semicircle/s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><img src="55561fbc76c8dd0e314e2a755dfa0957.gif" border="0" alt="C0320-03.GIF" width="20" height="17" /></font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Rate of inclination angle (semicircles/s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>C</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>uc</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Amplitude of the cosine harmonic correction term to the argument of latitude (rad)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>C</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>us</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Amplitude of the sine harmonic correction term to the argument of latitude (rad)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>C</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>rc</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Amplitude of the cosine harmonic correction term to the orbit radius (m)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>C</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>rs</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Amplitude of the sine harmonic correction term to the orbit radius (m)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>C</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>ic</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Amplitude of the cosine harmonic correction term to the angle of inclination (rad)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>C</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>is</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Amplitude of the sine harmonic correction term to the angle of inclination (rad)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2"><i>t</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>oe</sub></font></i></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Ephemeris reference time (s)</font></td></tr><tr><td valign="top"><font face="Times New Roman, Times, Serif" size="2">IODE</font></td><td valign="top"><font face="Times New Roman, Times, Serif" size="2">Issue of data, ephemeris</font></td></tr></table></td></tr></table><br /><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3">Then the nominal satellite-vehicle time (in seconds) at which the satellite sent the signal was</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3"><img src="c298cc8c5c8df9095825aa740e1c646f.gif" border="0" alt="0320-01.GIF" width="280" height="20" /></font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3">If the satellite clock is fast by </font><font face="Symbol" size="3">D</font><font face="Times New Roman, Times, Serif" size="3"><i>t</i></font><font face="Times New Roman, Times, Serif" size="1">sv</font><font face="Times New Roman, Times, Serif" size="3"> seconds, then the actual GPS system time at which the signal was sent was</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3"><img src="7ff8dfd100284a64472d7af8b24e04d5.gif" border="0" alt="0320-02.GIF" width="293" height="16" /></font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3">The correction </font><font face="Symbol" size="3">D</font><font face="Times New Roman, Times, Serif" size="3"><i>t</i></font><font face="Times New Roman, Times, Serif" size="1">sv</font><font face="Times New Roman, Times, Serif" size="3"> is calculated by the polynomial correction</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3"><img src="cab88aaa0d3b7d1a57f00bdc7c5907bb.gif" border="0" alt="0320-03.GIF" width="374" height="22" /></font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3">where <i>t</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>oc</sub></font></i><font face="Times New Roman, Times, Serif" size="1"><sub></sub></font><font face="Times New Roman, Times, Serif" size="3"> and the polynomial coefficients are a portion of the navigation message. The term</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3"><img src="53e44ca5590beb2fa9cb422dd530d802.gif" border="0" alt="0320-04.GIF" width="306" height="20" /></font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td>  <td colspan="3" height="12"></td>  <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td>  <td><font face="Times New Roman, Times, Serif" size="3">is a relativistic correction, <i>F</i> is a constant (see App. A), <i>e</i> and <i>A</i> are defined in Table E.1, and <i>E</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>k</sub></font></i><font face="Times New Roman, Times, Serif" size="1"><sub></sub></font><font face="Times New Roman, Times, Serif" size="3"> is defined in Sec. E.2.</font><font face="Times New Roman, Times, Serif" size="3" color="#FFFF00"></font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table></td></tr></table><p><font size="0"></font></p>  </td>			</tr>				<tr>				<td align="left" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_319.html">&lt;&nbsp;previous page</a></td>				<td id="ebook_next" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_320</strong></td>				<td align="right" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_321.html">next page&nbsp;&gt;</a></td>			</tr>		</table>		</body>	</html>

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