https://gssc.esa.int/navipedia/index.php?action=history&feed=atom&title=Satellite_Coordinates 2026-05-20T07:39:25Z Revision history for this page on the wiki MediaWiki 1.43.1 https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=12173&oldid=prev 2013-01-13T11:43:20Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:43, 13 January 2013</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l18">Line 18:</td> <td colspan="2" class="diff-lineno">Line 18:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Finally, beside the satellite coordinates (at the transmission time), the receiver coordinates (at the reception time) are also needed to compute the geometric range (from equation 1).</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Finally, beside the satellite coordinates (at the transmission time), the receiver coordinates (at the reception time) are also needed to compute the geometric range (from equation 1).</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::&lt;math&gt;\rho_{rcv}^{sat}=\left\|{\mathbf r}<ins style="font-weight: bold; text-decoration: none;">^</ins>{<ins style="font-weight: bold; text-decoration: none;">sat</ins>}-{\mathbf r}<ins style="font-weight: bold; text-decoration: none;">_</ins>{<ins style="font-weight: bold; text-decoration: none;">rcv</ins>}\right \|=\sqrt{(<ins style="font-weight: bold; text-decoration: none;">x^</ins>{<ins style="font-weight: bold; text-decoration: none;">sat</ins>}-<ins style="font-weight: bold; text-decoration: none;">x_</ins>{<ins style="font-weight: bold; text-decoration: none;">rcv</ins>})^2+(<ins style="font-weight: bold; text-decoration: none;">y^</ins>{<ins style="font-weight: bold; text-decoration: none;">sat</ins>}-<ins style="font-weight: bold; text-decoration: none;">y_</ins>{<ins style="font-weight: bold; text-decoration: none;">rcv</ins>})^2+(<ins style="font-weight: bold; text-decoration: none;">z^</ins>{<ins style="font-weight: bold; text-decoration: none;">sat</ins>}-<ins style="font-weight: bold; text-decoration: none;">z_</ins>{<ins style="font-weight: bold; text-decoration: none;">rcv</ins>})^2} \qquad \mbox{(1)}&lt;/math&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::&lt;math&gt; \rho_{rcv}^{sat}=\left\| {\mathbf r}<del style="font-weight: bold; text-decoration: none;">_</del>{<del style="font-weight: bold; text-decoration: none;">rcv</del>}-{\mathbf r}<del style="font-weight: bold; text-decoration: none;">^</del>{<del style="font-weight: bold; text-decoration: none;">sat</del>}\right \|=\sqrt{(<del style="font-weight: bold; text-decoration: none;">x_</del>{<del style="font-weight: bold; text-decoration: none;">rcv</del>}-<del style="font-weight: bold; text-decoration: none;">x^</del>{<del style="font-weight: bold; text-decoration: none;">sat</del>})^2+(<del style="font-weight: bold; text-decoration: none;">y_</del>{<del style="font-weight: bold; text-decoration: none;">rcv</del>}-<del style="font-weight: bold; text-decoration: none;">y^</del>{<del style="font-weight: bold; text-decoration: none;">sat</del>})^2+(<del style="font-weight: bold; text-decoration: none;">z_</del>{<del style="font-weight: bold; text-decoration: none;">rcv</del>}-<del style="font-weight: bold; text-decoration: none;">z^</del>{<del style="font-weight: bold; text-decoration: none;">sat</del>})^2} \qquad \mbox{(1)}&lt;/math&gt;</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Jaume.Sanz https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=11649&oldid=prev 2012-02-23T11:41:21Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:41, 23 February 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l4">Line 4:</td> <td colspan="2" class="diff-lineno">Line 4:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Level=Basic</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Level=Basic</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|YearOfPublication=2011</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|YearOfPublication=2011</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">|Logo=gAGE</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> </table>

Carlos.Lopez https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=10877&oldid=prev 2012-01-30T14:37:22Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:37, 30 January 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l23">Line 23:</td> <td colspan="2" class="diff-lineno">Line 23:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The receiver coordinates are the unknowns to determine in the navigation problem and can seem quite contradictory to need some "knowledge of them to estimate them self" (i.e., to compute the receiver position). As it is explained in [[Code Based Positioning (<del style="font-weight: bold; text-decoration: none;">SPP</del>)]], a simple approach to solve the navigation problem is to initialise the positioning algorithm with an approximated user position &lt;ref group="footnotes"&gt; These approximate coordinates &lt;math&gt; (x_0, y_0, z_0) &lt;/math&gt; or "a priories" are used to linearise the geometric range in the neighbourhood of this point (i.e., &lt;math&gt;\rho= \rho_0+ \nabla \rho|_{_{{\mathbf r}={\mathbf r}_0}}\cdot\Delta {\mathbf r}&lt;/math&gt;, where &lt;math&gt;\Delta {\mathbf r}=[\Delta x,\Delta y, \Delta z]^t&lt;/math&gt;). This is done in order to build a linear model for position estimation, being the deviations from this nominal value &lt;math&gt;\Delta x= x-x_0, \Delta y= y-y_0, \Delta z=z-z_0 &lt;/math&gt; the unknowns to estimate, together with the receiver clock offset &lt;math&gt;\delta t&lt;/math&gt;, and other parameters as well (see [[Solving navigation equations|Solving Navigation Equations]]).&lt;/ref&gt;. In this approach, the unknowns to estimate are the deviations of such approximate user location from the true coordinates, what is the same, the correction to apply in order to obtain the more accurate receiver coordinates.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The receiver coordinates are the unknowns to determine in the navigation problem and can seem quite contradictory to need some "knowledge of them to estimate them self" (i.e., to compute the receiver position). As it is explained in [[Code Based Positioning (<ins style="font-weight: bold; text-decoration: none;">SPS</ins>)]], a simple approach to solve the navigation problem is to initialise the positioning algorithm with an approximated user position &lt;ref group="footnotes"&gt; These approximate coordinates &lt;math&gt; (x_0, y_0, z_0) &lt;/math&gt; or "a priories" are used to linearise the geometric range in the neighbourhood of this point (i.e., &lt;math&gt;\rho= \rho_0+ \nabla \rho|_{_{{\mathbf r}={\mathbf r}_0}}\cdot\Delta {\mathbf r}&lt;/math&gt;, where &lt;math&gt;\Delta {\mathbf r}=[\Delta x,\Delta y, \Delta z]^t&lt;/math&gt;). This is done in order to build a linear model for position estimation, being the deviations from this nominal value &lt;math&gt;\Delta x= x-x_0, \Delta y= y-y_0, \Delta z=z-z_0 &lt;/math&gt; the unknowns to estimate, together with the receiver clock offset &lt;math&gt;\delta t&lt;/math&gt;, and other parameters as well (see [[Solving navigation equations|Solving Navigation Equations]]).&lt;/ref&gt;. In this approach, the unknowns to estimate are the deviations of such approximate user location from the true coordinates, what is the same, the correction to apply in order to obtain the more accurate receiver coordinates.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Carlos.Lopez https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=10867&oldid=prev 2012-01-30T13:23:45Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:23, 30 January 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l23">Line 23:</td> <td colspan="2" class="diff-lineno">Line 23:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The receiver coordinates are the unknowns to determine in the navigation problem and can seem quite contradictory to need some "knowledge of them to estimate them self" (i.e., to compute the receiver position). As it is explained in [[Code Based Positioning (SPP)]], a simple approach to solve the navigation problem is to initialise the positioning algorithm with an approximated user position &lt;ref group="footnotes"&gt; These approximate coordinates &lt;math&gt; (x_0, y_0, z_0) &lt;/math&gt; or "a priories" are used to linearise the geometric range in the neighbourhood of this point (i.e., &lt;math&gt;\rho= \rho_0+ \nabla \rho|_{_{{\mathbf r}={\mathbf r}_0}}\cdot\Delta {\mathbf r}&lt;/math&gt;, where &lt;math&gt;\Delta {\mathbf r}=[\Delta x,\Delta y, \Delta z]^t&lt;/math&gt;. This is done in order to build a linear model for position estimation, being the deviations from this nominal value &lt;math&gt;\Delta x= x-x_0, \Delta y= y-y_0, \Delta z=z-z_0 &lt;/math&gt; the unknowns to estimate, together with the receiver clock offset &lt;math&gt;\delta t&lt;/math&gt;, and other parameters as well (see [[Solving navigation equations|Solving Navigation Equations]]).&lt;/ref&gt;. In this approach, the unknowns to estimate are the deviations of such approximate user location from the true coordinates, what is the same, the correction to apply in order to obtain the more accurate receiver coordinates.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The receiver coordinates are the unknowns to determine in the navigation problem and can seem quite contradictory to need some "knowledge of them to estimate them self" (i.e., to compute the receiver position). As it is explained in [[Code Based Positioning (SPP)]], a simple approach to solve the navigation problem is to initialise the positioning algorithm with an approximated user position &lt;ref group="footnotes"&gt; These approximate coordinates &lt;math&gt; (x_0, y_0, z_0) &lt;/math&gt; or "a priories" are used to linearise the geometric range in the neighbourhood of this point (i.e., &lt;math&gt;\rho= \rho_0+ \nabla \rho|_{_{{\mathbf r}={\mathbf r}_0}}\cdot\Delta {\mathbf r}&lt;/math&gt;, where &lt;math&gt;\Delta {\mathbf r}=[\Delta x,\Delta y, \Delta z]^t&lt;/math&gt;<ins style="font-weight: bold; text-decoration: none;">)</ins>. This is done in order to build a linear model for position estimation, being the deviations from this nominal value &lt;math&gt;\Delta x= x-x_0, \Delta y= y-y_0, \Delta z=z-z_0 &lt;/math&gt; the unknowns to estimate, together with the receiver clock offset &lt;math&gt;\delta t&lt;/math&gt;, and other parameters as well (see [[Solving navigation equations|Solving Navigation Equations]]).&lt;/ref&gt;. In this approach, the unknowns to estimate are the deviations of such approximate user location from the true coordinates, what is the same, the correction to apply in order to obtain the more accurate receiver coordinates.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Jaume.Sanz https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=10866&oldid=prev 2012-01-30T13:22:14Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:22, 30 January 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group="footnotes"&gt;The satellite speed is about 5 km/s and traveling time about 0.1 s, <del style="font-weight: bold; text-decoration: none;">thence </del>satellites move hundred of meters during signal <del style="font-weight: bold; text-decoration: none;">light </del>time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group="footnotes"&gt;The satellite speed is about 5 km/s and traveling time about 0.1 s, <ins style="font-weight: bold; text-decoration: none;">then </ins>satellites move hundred of meters during signal <ins style="font-weight: bold; text-decoration: none;">flight </ins>time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td></tr> </table>

Jaume.Sanz https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=10865&oldid=prev 2012-01-30T13:21:19Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:21, 30 January 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group="footnotes"&gt;The satellite speed is about 5 km/s and traveling time about <del style="font-weight: bold; text-decoration: none;">1ms</del>, thence satellites move hundred of meters during signal light time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group="footnotes"&gt;The satellite speed is about 5 km/s and traveling time about <ins style="font-weight: bold; text-decoration: none;">0.1 s</ins>, thence satellites move hundred of meters during signal light time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td></tr> </table>

Jaume.Sanz https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=10864&oldid=prev 2012-01-30T13:19:25Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:19, 30 January 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group="footnotes"&gt;The satellite speed is about 5 km and traveling time about 1ms, thence satellites move hundred of meters during signal light time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group="footnotes"&gt;The satellite speed is about 5 km<ins style="font-weight: bold; text-decoration: none;">/s </ins>and traveling time about 1ms, thence satellites move hundred of meters during signal light time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td></tr> </table>

Jaume.Sanz https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=10863&oldid=prev 2012-01-30T13:11:04Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:11, 30 January 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Article Infobox2</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Article Infobox2</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Category=Fundamentals</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Category=Fundamentals</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">|Title={{PAGENAME}}</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|Authors=J. Sanz Subirana, <ins style="font-weight: bold; text-decoration: none;">J.M</ins>. Juan Zornoza and M. <ins style="font-weight: bold; text-decoration: none;">Hernández</ins>-Pajares, <ins style="font-weight: bold; text-decoration: none;">Technical </ins>University of <ins style="font-weight: bold; text-decoration: none;">Catalonia</ins>, Spain.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|Authors= J. Sanz Subirana, <del style="font-weight: bold; text-decoration: none;">JM</del>. Juan Zornoza and M. <del style="font-weight: bold; text-decoration: none;">Hernandez</del>-Pajares, University of <del style="font-weight: bold; text-decoration: none;">Catalunia</del>, Spain.</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Level=Basic</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Level=Basic</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|YearOfPublication=2011</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|YearOfPublication=2011</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Logo=gAGE</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Logo=gAGE</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">|Title={{PAGENAME}}</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group=&quot;footnotes&quot;&gt;The satellite speed is about 5 km and traveling time about 1ms, thence satellites move hundred of meters during signal light time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As the measurements are linked to the signal reception time, which is given by the receiver time tags (i.e., in the receiver clock), an algorithm is needed to obtain the signal emission time in the GNSS ([[GPS General Introduction|GPS]], [[GLONASS General Introduction|GLONASS]], [[GALILEO General Introduction|Galileo]]...) time scale &lt;ref group=&quot;footnotes&quot;&gt;The satellite speed is about 5 km and traveling time about 1ms, thence satellites move hundred of meters during signal light time, see Figure 1.&lt;/ref&gt;. Two algorithms are presented in [[Emission Time Computation]] to compute the transmission time, one of them based in the pseudorange measurement, and the other on a pure geometric approach.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Jaume.Sanz https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=8903&oldid=prev 2011-10-28T09:11:54Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 09:11, 28 October 2011</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Title={{PAGENAME}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|Level=<del style="font-weight: bold; text-decoration: none;">Advanced</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|Level=<ins style="font-weight: bold; text-decoration: none;">Basic</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|YearOfPublication=2011</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|YearOfPublication=2011</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Logo=gAGE</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|Logo=gAGE</div></td></tr> </table>

Carlos.Lopez https://gssc.esa.int/navipedia/index.php?title=Satellite_Coordinates&diff=7937&oldid=prev 2011-08-09T09:02:49Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 09:02, 9 August 2011</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12">Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Once, the transmission time is obtained, thence the satellites coordinates can be computed. This computation can be done in either, an inertial or a rotating earth-fixed Earth-Centred, Earth-Fixed (ECEF) coordinate frame. Obviously, an ECEF frame is more suitable for providing the user position on the earth and, therefore, this system is used as a reference frame for the satellite and receiver coordinates.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Such ECEF frame is taken at the reception time, because it is a common reference for all measurements&lt;ref group="footnotes"&gt; Notice that reception time is common for all satellites, but not transmission time, which depends of the satellite-receiver range and, thence, is different for each satellite.&lt;/ref&gt;. Thence, the earth rotation during the signal traveling time must be considered to account for the ECEF rotation during this elapsed time. An algorithm for this computation is given in [[<del style="font-weight: bold; text-decoration: none;">Geometric Range Modelling: Satellite Coordinates Computation|</del>Satellite Coordinates Computation]].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Such ECEF frame is taken at the reception time, because it is a common reference for all measurements&lt;ref group="footnotes"&gt; Notice that reception time is common for all satellites, but not transmission time, which depends of the satellite-receiver range and, thence, is different for each satellite.&lt;/ref&gt;. Thence, the earth rotation during the signal traveling time must be considered to account for the ECEF rotation during this elapsed time. An algorithm for this computation is given in [[Satellite Coordinates Computation]].</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Carlos.Lopez