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	<id>https://gssc.esa.int/navipedia/index.php?action=history&amp;feed=atom&amp;title=Cartesian_and_ellipsoidal_coordinates</id>
	<title>Cartesian and ellipsoidal coordinates - Revision history</title>
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	<updated>2026-05-18T14:31:24Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=12200&amp;oldid=prev</id>
		<title>Jaume.Sanz at 11:53, 3 February 2013</title>
		<link rel="alternate" type="text/html" href="https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=12200&amp;oldid=prev"/>
		<updated>2013-02-03T11:53:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:53, 3 February 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Title={{PAGENAME}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Title={{PAGENAME}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as &amp;lt;math&amp;gt;(\&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lambda&lt;/del&gt;,\&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;varphi&lt;/del&gt;, h)&amp;lt;/math&amp;gt; ellipsoidal coordinates, where &amp;lt;math&amp;gt;\&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lambda&lt;/del&gt;&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;varphi&lt;/del&gt;&amp;lt;/math&amp;gt; are respectively the longitude &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and latitude &lt;/del&gt;from the ellipsoid, and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in [[Ellipsoidal and Cartesian Coordinates Conversion]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as &amp;lt;math&amp;gt;(\&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;varphi&lt;/ins&gt;,\&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lambda&lt;/ins&gt;, h)&amp;lt;/math&amp;gt; ellipsoidal coordinates, where &amp;lt;math&amp;gt;\&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;varphi&lt;/ins&gt;&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lambda&lt;/ins&gt;&amp;lt;/math&amp;gt; are respectively the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; latitude and &lt;/ins&gt;longitude from the ellipsoid, and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in [[Ellipsoidal and Cartesian Coordinates Conversion]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;::[[File:Cartesian_Ellipsoid_Coord_coorenu.png|none|thumb|400px|&#039;&#039;&#039;&#039;&#039;Figure 1:&#039;&#039;&#039;&#039;&#039; Cartesian &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; and ellipsoidal &amp;lt;math&amp;gt;(\&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lambda&lt;/del&gt;, \&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;varphi&lt;/del&gt;, h)&amp;lt;/math&amp;gt; coordinates.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;::[[File:Cartesian_Ellipsoid_Coord_coorenu.png|none|thumb|400px|&#039;&#039;&#039;&#039;&#039;Figure 1:&#039;&#039;&#039;&#039;&#039; Cartesian &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; and ellipsoidal &amp;lt;math&amp;gt;(\&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;varphi&lt;/ins&gt;, \&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lambda&lt;/ins&gt;, h)&amp;lt;/math&amp;gt; coordinates.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Fundamentals]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Fundamentals]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:GNSS Time Reference, Coordinate Frames and Orbits]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:GNSS Time Reference, Coordinate Frames and Orbits]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jaume.Sanz</name></author>
	</entry>
	<entry>
		<id>https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=11565&amp;oldid=prev</id>
		<title>Carlos.Lopez at 11:25, 23 February 2012</title>
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		<updated>2012-02-23T11:25:47Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:25, 23 February 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l4&quot;&gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Carlos.Lopez</name></author>
	</entry>
	<entry>
		<id>https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=10526&amp;oldid=prev</id>
		<title>Carlos.Lopez at 08:27, 23 January 2012</title>
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		<updated>2012-01-23T08:27:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 08:27, 23 January 2012&lt;/td&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Logo=gAGE&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Title={{PAGENAME}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Title={{PAGENAME}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Carlos.Lopez</name></author>
	</entry>
	<entry>
		<id>https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=10420&amp;oldid=prev</id>
		<title>Jaume.Sanz at 07:51, 18 January 2012</title>
		<link rel="alternate" type="text/html" href="https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=10420&amp;oldid=prev"/>
		<updated>2012-01-18T07:51:43Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 07:51, 18 January 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{Article Infobox2&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{Article Infobox2&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Category=Fundamentals&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Category=Fundamentals&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Title={{PAGENAME}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Authors=J. Sanz Subirana, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;J.M&lt;/ins&gt;. Juan Zornoza and M. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Hernández&lt;/ins&gt;-Pajares, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Technical &lt;/ins&gt;University of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Catalonia&lt;/ins&gt;, Spain.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Authors=J. Sanz Subirana, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;JM&lt;/del&gt;. Juan Zornoza and M. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Hernandez&lt;/del&gt;-Pajares, University of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Catalunia&lt;/del&gt;, Spain.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Level=Basic&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|Level=Basic&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|YearOfPublication=2011&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|YearOfPublication=2011&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Title={{PAGENAME}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as &amp;lt;math&amp;gt;(\lambda,\varphi, h)&amp;lt;/math&amp;gt; ellipsoidal coordinates, where &amp;lt;math&amp;gt;\lambda&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\varphi&amp;lt;/math&amp;gt; are respectively the longitude and latitude from the ellipsoid, and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in [[Ellipsoidal and Cartesian Coordinates Conversion]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as &amp;lt;math&amp;gt;(\lambda,\varphi, h)&amp;lt;/math&amp;gt; ellipsoidal coordinates, where &amp;lt;math&amp;gt;\lambda&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\varphi&amp;lt;/math&amp;gt; are respectively the longitude and latitude from the ellipsoid, and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in [[Ellipsoidal and Cartesian Coordinates Conversion]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jaume.Sanz</name></author>
	</entry>
	<entry>
		<id>https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=7820&amp;oldid=prev</id>
		<title>Carlos.Lopez at 15:11, 8 August 2011</title>
		<link rel="alternate" type="text/html" href="https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=7820&amp;oldid=prev"/>
		<updated>2011-08-08T15:11:44Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:11, 8 August 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l13&quot;&gt;Line 13:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 13:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Fundamentals]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Fundamentals]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:GNSS Time Reference, Coordinate Frames and Orbits]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Carlos.Lopez</name></author>
	</entry>
	<entry>
		<id>https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=7675&amp;oldid=prev</id>
		<title>Carlos.Lopez at 09:12, 5 August 2011</title>
		<link rel="alternate" type="text/html" href="https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=7675&amp;oldid=prev"/>
		<updated>2011-08-05T09:12:51Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:12, 5 August 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|YearOfPublication=2011&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;|YearOfPublication=2011&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as &amp;lt;math&amp;gt;(\lambda,\varphi, h)&amp;lt;/math&amp;gt; ellipsoidal coordinates, where &amp;lt;math&amp;gt;\lambda&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\varphi&amp;lt;/math&amp;gt; are respectively the longitude and latitude from the ellipsoid, and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in [[Ellipsoidal and Cartesian Coordinates &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Conversions&lt;/del&gt;]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as &amp;lt;math&amp;gt;(\lambda,\varphi, h)&amp;lt;/math&amp;gt; ellipsoidal coordinates, where &amp;lt;math&amp;gt;\lambda&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\varphi&amp;lt;/math&amp;gt; are respectively the longitude and latitude from the ellipsoid, and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in [[Ellipsoidal and Cartesian Coordinates &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Conversion&lt;/ins&gt;]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Carlos.Lopez</name></author>
	</entry>
	<entry>
		<id>https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=2424&amp;oldid=prev</id>
		<title>Carlos.Lopez: Created page with &quot;{{Article Infobox2 |Category=Fundamentals |Title={{PAGENAME}} |Authors=J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain. |Level=Basic |...&quot;</title>
		<link rel="alternate" type="text/html" href="https://gssc.esa.int/navipedia/index.php?title=Cartesian_and_ellipsoidal_coordinates&amp;diff=2424&amp;oldid=prev"/>
		<updated>2011-04-07T15:06:11Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Article Infobox2 |Category=Fundamentals |Title={{PAGENAME}} |Authors=J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain. |Level=Basic |...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Article Infobox2&lt;br /&gt;
|Category=Fundamentals&lt;br /&gt;
|Title={{PAGENAME}}&lt;br /&gt;
|Authors=J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.&lt;br /&gt;
|Level=Basic&lt;br /&gt;
|YearOfPublication=2011&lt;br /&gt;
}}&lt;br /&gt;
The &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as &amp;lt;math&amp;gt;(\lambda,\varphi, h)&amp;lt;/math&amp;gt; ellipsoidal coordinates, where &amp;lt;math&amp;gt;\lambda&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\varphi&amp;lt;/math&amp;gt; are respectively the longitude and latitude from the ellipsoid, and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in [[Ellipsoidal and Cartesian Coordinates Conversions]].&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
::[[File:Cartesian_Ellipsoid_Coord_coorenu.png|none|thumb|400px|&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Figure 1:&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; Cartesian &amp;lt;math&amp;gt;(x,y,z)&amp;lt;/math&amp;gt; and ellipsoidal &amp;lt;math&amp;gt;(\lambda, \varphi, h)&amp;lt;/math&amp;gt; coordinates.]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Fundamentals]]&lt;/div&gt;</summary>
		<author><name>Carlos.Lopez</name></author>
	</entry>
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