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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_210</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_209.html">< previous page</a></td> <td id="ebook_previous" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_210</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_211.html">next page ></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 210</font></td></tr></table><table border="0" cellspacing="0" cellpadding="0" width="100%"><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 align="center"><font face="Times New Roman, Times, Serif" size="3"><img src="78b7584f73e0ecc4572f0ed497ee8a82.gif" border="0" alt="0210-01.GIF" width="429" height="360" /></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" width="100%"><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 align="center"><font face="Times New Roman, Times, Serif" size="2">Figure聽6.7<br />Stationary聽error聽response聽for聽a聽1掳聽initial聽east聽rotation聽error.</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">north and the east tilt plots show the Foucault modulated Schuler oscillation. The latitude, longitude, and azimuth errors are the superposition of earth rate oscillations and Foucault modulated Schuler oscillations.</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">Figure 6.7 displays the error trajectory for the case of a 1掳 initial tilt about the east axis. The east tilt error directly causes error in the gravity and earth rate compensation, which results in azimuth, north tilt and north velocity errors. Otherwise, Fig. 6.7 is very similar to Fig. 6.6.</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">In Fig. 6.8 the error trajectory for the case of a 1掳 initial azimuth error is displayed. The initial azimuth error causes only east tilt error. Initially, the error state dynamics can be approximated as</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="1b4062d3c5d01143b3c680deb3c298e7.gif" border="0" alt="0210-02.GIF" width="307" height="35" /></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="7fd09cd5a8a0586f39b00349f7522b43.gif" border="0" alt="0210-03.GIF" width="311" height="18" /></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">This model is valid for approximately 40 min (half a Schuler period), during which time </font><font face="Symbol" size="3">e</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>D</i></sub></font><font face="Times New Roman, Times, Serif" size="3">(<i>t</i>) </font><font face="Symbol" size="3">禄</font><font face="Times New Roman, Times, Serif" size="3"></font><font face="Symbol" size="3">e</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>D</i></sub></font><font face="Times New Roman, Times, Serif" size="3">(0) and the latitude, longitude, north tilt, and east velocity errors are all small. During this time period, the average value of the north velocity error approaches -<i>R</i></font><i><font face="Times New Roman, Times, Serif" size="1"><sub>e</sub></font></i><font face="Times New Roman, Times, Serif" size="1"><sub></sub></font><font face="Symbol" size="3">W</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>N</i></sub></font><font face="Symbol" size="3">e</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>D</i></sub></font><font face="Times New Roman, Times, Serif" size="3">. Equations (6.92) and (6.93) exhibit the structure of a Schuler oscillator, which the north velocity and east tilt errors exhibit. The nonzero average value of the north velocity error integrates into</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>聽 </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_209.html">< previous page</a></td> <td id="ebook_next" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_210</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_211.html">next page ></a></td> </tr> </table> </body> </html>
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