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	<id>https://patrius.cnes.fr/index.php?action=history&amp;feed=atom&amp;title=Tutorials_4.1_Orbits</id>
	<title>Tutorials 4.1 Orbits - Historique des versions</title>
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	<updated>2026-04-04T10:02:38Z</updated>
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	<entry>
		<id>https://patrius.cnes.fr/index.php?title=Tutorials_4.1_Orbits&amp;diff=1889&amp;oldid=prev</id>
		<title>Admin le 20 décembre 2018 à 15:41</title>
		<link rel="alternate" type="text/html" href="https://patrius.cnes.fr/index.php?title=Tutorials_4.1_Orbits&amp;diff=1889&amp;oldid=prev"/>
		<updated>2018-12-20T15:41:27Z</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;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Version précédente&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Version du 20 décembre 2018 à 15:41&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;Ligne 13 :&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Ligne 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;div&gt;# to propagate this orbit using the keplerian motion (considering only the central term) (for more sophisticated propagations (analytical or numerical ones) see specific tutorials).&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;# to propagate this orbit using the keplerian motion (considering only the central term) (for more sophisticated propagations (analytical or numerical ones) see specific tutorials).&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; 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;&#039;&#039;&#039;Code example:&#039;&#039;&#039; [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;CreateKeplerianOrbit&lt;/del&gt;|create a Keplerian orbit]]&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;&#039;&#039;&#039;Code example:&#039;&#039;&#039; [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;CreateKeplerianOrbit_4.1&lt;/ins&gt;|create a Keplerian orbit]]&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;div&gt;== Orbital parameters ==&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;== Orbital parameters ==&lt;/div&gt;&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-l23&quot;&gt;Ligne 23 :&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Ligne 23 :&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;Moreover, the advantage of this sublevel is to treat parameters conversions without considering a whole orbit (for example, to convert &amp;lt;font color=#FF0000&amp;gt;keplerian&amp;lt;/font&amp;gt; parameters in &amp;lt;font color=#FF0000&amp;gt;cartesian&amp;lt;/font&amp;gt; ones, it is not necessary to use a &amp;lt;font color=#FF0000&amp;gt;date&amp;lt;/font&amp;gt; or a &amp;lt;font color=#FF0000&amp;gt;frame&amp;lt;/font&amp;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;Moreover, the advantage of this sublevel is to treat parameters conversions without considering a whole orbit (for example, to convert &amp;lt;font color=#FF0000&amp;gt;keplerian&amp;lt;/font&amp;gt; parameters in &amp;lt;font color=#FF0000&amp;gt;cartesian&amp;lt;/font&amp;gt; ones, it is not necessary to use a &amp;lt;font color=#FF0000&amp;gt;date&amp;lt;/font&amp;gt; or a &amp;lt;font color=#FF0000&amp;gt;frame&amp;lt;/font&amp;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; 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;&#039;&#039;&#039;Code example:&#039;&#039;&#039; [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;CreateKeplerianOrbitUsingParameters&lt;/del&gt;|create a Keplerian orbit using parameters]]&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;&#039;&#039;&#039;Code example:&#039;&#039;&#039; [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;CreateKeplerianOrbitUsingParameters_4.1&lt;/ins&gt;|create a Keplerian orbit using parameters]]&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;div&gt;== Orbital parameters conversions ==&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;== Orbital parameters conversions ==&lt;/div&gt;&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-l29&quot;&gt;Ligne 29 :&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Ligne 29 :&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;As explained in the previous tutorial, it is possible to make a lot of conversion between different orbital parameters formats. The following code gives some examples ...&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;As explained in the previous tutorial, it is possible to make a lot of conversion between different orbital parameters formats. The following code gives some examples ...&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; 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;&#039;&#039;&#039;Code example:&#039;&#039;&#039; [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ParametersConversions&lt;/del&gt;|orbital parameters conversions]]&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;&#039;&#039;&#039;Code example:&#039;&#039;&#039; [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ParametersConversions_4.1&lt;/ins&gt;|orbital parameters conversions]]&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;div&gt;[[Category:Tutorials 4.1]]&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:Tutorials 4.1]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
	<entry>
		<id>https://patrius.cnes.fr/index.php?title=Tutorials_4.1_Orbits&amp;diff=1823&amp;oldid=prev</id>
		<title>Admin : Page créée avec « == What is an orbit ? ==  An orbit is defined with a &lt;font color=#FF0000&gt;date&lt;/font&gt;, a &lt;font color=#FF0000&gt;frame&lt;/font&gt; then &lt;font color=#FF0000&gt;orbital parameters&lt;/font&gt;... »</title>
		<link rel="alternate" type="text/html" href="https://patrius.cnes.fr/index.php?title=Tutorials_4.1_Orbits&amp;diff=1823&amp;oldid=prev"/>
		<updated>2018-12-18T09:32:45Z</updated>

		<summary type="html">&lt;p&gt;Page créée avec « == What is an orbit ? ==  An orbit is defined with a &amp;lt;font color=#FF0000&amp;gt;date&amp;lt;/font&amp;gt;, a &amp;lt;font color=#FF0000&amp;gt;frame&amp;lt;/font&amp;gt; then &amp;lt;font color=#FF0000&amp;gt;orbital parameters&amp;lt;/font&amp;gt;... »&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Nouvelle page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== What is an orbit ? ==&lt;br /&gt;
&lt;br /&gt;
An orbit is defined with a &amp;lt;font color=#FF0000&amp;gt;date&amp;lt;/font&amp;gt;, a &amp;lt;font color=#FF0000&amp;gt;frame&amp;lt;/font&amp;gt; then &amp;lt;font color=#FF0000&amp;gt;orbital parameters&amp;lt;/font&amp;gt;; in the example below, we will use keplerian parameters ...&lt;br /&gt;
* semi major axis&lt;br /&gt;
* eccentricity&lt;br /&gt;
* inclination&lt;br /&gt;
* perigee argument&lt;br /&gt;
* right ascension of the ascending node&lt;br /&gt;
* anomaly (mean, true, eccentric)&lt;br /&gt;
&lt;br /&gt;
Note that it is mandatory to set the &amp;quot;Mu&amp;quot; value (gravitational constant) for both reasons :&lt;br /&gt;
# to be able to convert keplerian parameters to cartesian ones&lt;br /&gt;
# to propagate this orbit using the keplerian motion (considering only the central term) (for more sophisticated propagations (analytical or numerical ones) see specific tutorials).&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Code example:&amp;#039;&amp;#039;&amp;#039; [[CreateKeplerianOrbit|create a Keplerian orbit]]&lt;br /&gt;
&lt;br /&gt;
== Orbital parameters ==&lt;br /&gt;
&lt;br /&gt;
Rather than to set directly orbital parameters when creating an orbit (see previous tutorial), it is possible to go through an intermediate object including these orbital parameters.&lt;br /&gt;
&lt;br /&gt;
Then to create an orbit, we will have to set the &amp;lt;font color=#FF0000&amp;gt;date&amp;lt;/font&amp;gt;, the &amp;lt;font color=#FF0000&amp;gt;frame&amp;lt;/font&amp;gt; ... and this object.&lt;br /&gt;
&lt;br /&gt;
Moreover, the advantage of this sublevel is to treat parameters conversions without considering a whole orbit (for example, to convert &amp;lt;font color=#FF0000&amp;gt;keplerian&amp;lt;/font&amp;gt; parameters in &amp;lt;font color=#FF0000&amp;gt;cartesian&amp;lt;/font&amp;gt; ones, it is not necessary to use a &amp;lt;font color=#FF0000&amp;gt;date&amp;lt;/font&amp;gt; or a &amp;lt;font color=#FF0000&amp;gt;frame&amp;lt;/font&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Code example:&amp;#039;&amp;#039;&amp;#039; [[CreateKeplerianOrbitUsingParameters|create a Keplerian orbit using parameters]]&lt;br /&gt;
&lt;br /&gt;
== Orbital parameters conversions ==&lt;br /&gt;
&lt;br /&gt;
As explained in the previous tutorial, it is possible to make a lot of conversion between different orbital parameters formats. The following code gives some examples ...&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Code example:&amp;#039;&amp;#039;&amp;#039; [[ParametersConversions|orbital parameters conversions]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Tutorials 4.1]]&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
</feed>