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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_291</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_290.html">< previous page</a></td> <td id="ebook_previous" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_291</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_292.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 291</font></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="48"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="4">Appendix A<br />Notation, Symbols, and Constants</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 this appendix the notation, symbols, and constants used throughout this book are summarized. It is provided for the convenience of the reader as a reference.</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="17"></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">A.1<br />Notation</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">Table A. 1 summarizes the notational conventions that are used throughout this book. A nonboldfaced symbol denotes a scalar quantity. A boldfaced symbol denotes either a vector (typically lowercase) or a matrix (typically uppercase). In many parts of this book, it is important to make the distinction between a true value, a calculated or estimated value, or a measured value. As shown in Table A.1, the true value has no additional mark, the calculated value has a caret above it, and the measured value has a tilde above it.</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">Further, the error between the actual or true value and the estimated value can be defined in two different ways. In this book, the error is defined as the true value minus the estimated value.In Chap. 2 several different reference frames are introduced that are used in the discussion throughout this book. Vector quantities are transformed between these different frames by use of rotational transformations that can be represented as matrices, where the notation R</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>a</i>2<i>b</i></sub></font><font face="Times New Roman, Times, Serif" size="3"> denotes the transformation matrix from reference frame <i>a</i> to reference frame <i>b</i>. When a vector is being coordinatized in frame <i>a</i>, the notation (x)</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>a</i></sub></font><font face="Times New Roman, Times, Serif" size="3"> is used. All the symbols representing the different reference frames are listed in Table A. 2. As an example, with the notation defined in Tables A.1 and A.2, the actual rotational matrix to transform a vector from body coordinates to tangent-plane coordinates would be denoted as R</font><font face="Times New Roman, Times, Serif" size="1"><sub><i>b</i>2<i>t</i></sub></font><font face="Times New Roman, Times, Serif" size="3">. The calculated rotational transformation for a vector from body coordinates to tangent-plane coordinates would be denoted as <img src="0de5a7b2e61cb6a9741d4c3ee824299f.gif" border="0" alt="C0291-01.GIF" width="29" height="19" />.</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">Also introduced in Chap. 2, the rate of relative angular rotation between two coordinate systems is denoted as <img src="03bdb735fc34d02eff6142a34e1f0b79.gif" border="0" alt="OMEGAAB.GIF" width="23" height="17" />, which should be read as the rate of</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_290.html">< previous page</a></td> <td id="ebook_next" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_291</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_292.html">next page ></a></td> </tr> </table> </body> </html>⌨️ 快捷键说明
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