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	<id>https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=VE%2FRiemannEllipsoids</id>
	<title>VE/RiemannEllipsoids - Revision history</title>
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	<updated>2026-05-01T00:21:59Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.1</generator>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=VE/RiemannEllipsoids&amp;diff=1763&amp;oldid=prev</id>
		<title>70.180.56.157: /* Riemann S-Type Ellipsoids */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=VE/RiemannEllipsoids&amp;diff=1763&amp;oldid=prev"/>
		<updated>2024-07-02T22:01:44Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Riemann S-Type Ellipsoids&lt;/span&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;
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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 18:01, 2 July 2024&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-l2753&quot;&gt;Line 2,753:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2,753:&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;&amp;lt;tr&amp;gt;&amp;lt;td align=&amp;quot;center&amp;quot; colspan=&amp;quot;3&amp;quot;&amp;gt;[ [[User:Tohline/Appendix/References#EFE|EFE]], &amp;lt;font color=&amp;quot;#00CC00&amp;quot;&amp;gt;Chapter 7, &amp;amp;sect;48, Eq. (30)&amp;lt;/font&amp;gt; ]&amp;lt;/td&amp;gt;&amp;lt;/tr&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;&amp;lt;tr&amp;gt;&amp;lt;td align=&amp;quot;center&amp;quot; colspan=&amp;quot;3&amp;quot;&amp;gt;[ [[User:Tohline/Appendix/References#EFE|EFE]], &amp;lt;font color=&amp;quot;#00CC00&amp;quot;&amp;gt;Chapter 7, &amp;amp;sect;48, Eq. (30)&amp;lt;/font&amp;gt; ]&amp;lt;/td&amp;gt;&amp;lt;/tr&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;div&gt;&amp;lt;/table&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;&amp;lt;/table&amp;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;Note that &amp;amp;#8212; as EFE has done and as we have recorded in a [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;User:Tohline/&lt;/del&gt;ThreeDimensionalConfigurations/JacobiEllipsoids#Equilibrium_Conditions_for_Jacobi_Ellipsoids|related discussion]] &amp;amp;#8212; the first term on the right-hand-side of this last expression can be expressed more compactly in terms of the coefficient, &amp;lt;math&amp;gt;~A_{12}&amp;lt;/math&amp;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;Note that &amp;amp;#8212; as EFE has done and as we have recorded in a [[ThreeDimensionalConfigurations/JacobiEllipsoids#Equilibrium_Conditions_for_Jacobi_Ellipsoids|related discussion]] &amp;amp;#8212; the first term on the right-hand-side of this last expression can be expressed more compactly in terms of the coefficient, &amp;lt;math&amp;gt;~A_{12}&amp;lt;/math&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;&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;Alternatively, dividing the first expression through by &amp;lt;math&amp;gt;~a^2&amp;lt;/math&amp;gt; and the second by &amp;lt;math&amp;gt;~b^2&amp;lt;/math&amp;gt;, then adding the pair of expressions gives,&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;Alternatively, dividing the first expression through by &amp;lt;math&amp;gt;~a^2&amp;lt;/math&amp;gt; and the second by &amp;lt;math&amp;gt;~b^2&amp;lt;/math&amp;gt;, then adding the pair of expressions gives,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>70.180.56.157</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=VE/RiemannEllipsoids&amp;diff=1762&amp;oldid=prev</id>
		<title>70.180.56.157: Created page with &quot;__FORCETOC__ &lt;!-- __NOTOC__ will force TOC off --&gt;  =Steady-State 2&lt;sup&gt;nd&lt;/sup&gt;-Order Tensor Virial Equations= {| class=&quot;2ndOrderTVE&quot; style=&quot;float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black&quot; |-  ! style=&quot;height: 125px; width: 125px; background-color:#9390DB;&quot; | &lt;font size=&quot;-1&quot;&gt;&lt;b&gt;Steady-State&lt;br /&gt;2&lt;sup&gt;nd&lt;/sup&gt;-Order&lt;br /&gt;Tensor Virial&lt;br /&gt;Equations&lt;/b&gt;&lt;/font&gt; |} Drawing fro...&quot;</title>
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		<updated>2024-07-02T22:00:41Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;__FORCETOC__ &amp;lt;!-- __NOTOC__ will force TOC off --&amp;gt;  =Steady-State 2&amp;lt;sup&amp;gt;nd&amp;lt;/sup&amp;gt;-Order Tensor Virial Equations= {| class=&amp;quot;2ndOrderTVE&amp;quot; style=&amp;quot;float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black&amp;quot; |-  ! style=&amp;quot;height: 125px; width: 125px; background-color:#9390DB;&amp;quot; | &amp;lt;font size=&amp;quot;-1&amp;quot;&amp;gt;&lt;a href=&quot;/JETohline/index.php/H_BookTiledMenu#Ellipsoidal_.26_Ellipsoidal-Like&quot; title=&quot;H BookTiledMenu&quot;&gt;&amp;lt;b&amp;gt;Steady-State&amp;lt;br /&amp;gt;2&amp;lt;sup&amp;gt;nd&amp;lt;/sup&amp;gt;-Order&amp;lt;br /&amp;gt;Tensor Virial&amp;lt;br /&amp;gt;Equations&amp;lt;/b&amp;gt;&lt;/a&gt;&amp;lt;/font&amp;gt; |} Drawing fro...&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://selfgravitatingfluids.education/JETohline/index.php?title=VE/RiemannEllipsoids&amp;amp;diff=1762&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>70.180.56.157</name></author>
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