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	<id>https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=SSC%2FVirial%2FPolytropesEmbeddedOutline</id>
	<title>SSC/Virial/PolytropesEmbeddedOutline - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=SSC%2FVirial%2FPolytropesEmbeddedOutline"/>
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	<updated>2026-04-21T20:31:30Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/Virial/PolytropesEmbeddedOutline&amp;diff=2167&amp;oldid=prev</id>
		<title>Joel2: /* ASIDE:  Isothermal Configurations */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/Virial/PolytropesEmbeddedOutline&amp;diff=2167&amp;oldid=prev"/>
		<updated>2024-07-11T00:38:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;ASIDE:  Isothermal Configurations&lt;/span&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 20:38, 10 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-l715&quot;&gt;Line 715:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 715:&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;&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;&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;td align=&amp;quot;center&amp;quot; colspan=&amp;quot;2&amp;quot; rowspan=&amp;quot;1&amp;quot; bgcolor=&amp;quot;#D0FFFF&amp;quot;&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;td align=&amp;quot;center&amp;quot; colspan=&amp;quot;2&amp;quot; rowspan=&amp;quot;1&amp;quot; bgcolor=&amp;quot;#D0FFFF&amp;quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;!-- &lt;/del&gt;[[File:EnergyRadiusViewBottom6.png|500px|Whitworth&#039;s (1981) Isothermal Free-Energy Surface]] --&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&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;[[File:EnergyRadiusViewBottom6.png|500px|Whitworth&#039;s (1981) Isothermal Free-Energy Surface]]&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;[[Image:AAAwaiting01.png|440px|Whitworth&#039;s (1981) Isothermal Free-Energy Surface]]&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;!&lt;/ins&gt;-- [[Image:AAAwaiting01.png|440px|Whitworth&#039;s (1981) Isothermal Free-Energy Surface]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; --&amp;gt;&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;&amp;lt;/td&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;/td&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;/table&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/Virial/PolytropesEmbeddedOutline&amp;diff=2162&amp;oldid=prev</id>
		<title>Joel2: Created page with &quot;__FORCETOC__  &lt;!-- __NOTOC__ will force TOC off --&gt;  =Virial Equilibrium of Embedded Polytropic Spheres=  &lt;div align=&quot;center&quot; id=&quot;IntroFigures&quot;&gt; &lt;table border=&quot;1&quot; cellpadding=&quot;8&quot; align=&quot;center&quot;&gt; &lt;tr&gt;   &lt;th align=&quot;center&quot; colspan=&quot;2&quot;&gt; Figure 1: &amp;nbsp;Free-Energy Surfaces for Pressure-Truncated Structures   &lt;/th&gt; &lt;tr&gt; &lt;td align=&quot;center&quot; colspan=&quot;1&quot; bgcolor=&quot;#C9FFFF&quot;&gt; n = 5 Free-Energy Surface &lt;/td&gt; &lt;td align=&quot;center&quot; colspan=&quot;1&quot; bgcol...&quot;</title>
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		<updated>2024-07-11T00:31:22Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;__FORCETOC__  &amp;lt;!-- __NOTOC__ will force TOC off --&amp;gt;  =Virial Equilibrium of Embedded Polytropic Spheres=  &amp;lt;div align=&amp;quot;center&amp;quot; id=&amp;quot;IntroFigures&amp;quot;&amp;gt; &amp;lt;table border=&amp;quot;1&amp;quot; cellpadding=&amp;quot;8&amp;quot; align=&amp;quot;center&amp;quot;&amp;gt; &amp;lt;tr&amp;gt;   &amp;lt;th align=&amp;quot;center&amp;quot; colspan=&amp;quot;2&amp;quot;&amp;gt; Figure 1:  Free-Energy Surfaces for Pressure-Truncated Structures   &amp;lt;/th&amp;gt; &amp;lt;tr&amp;gt; &amp;lt;td align=&amp;quot;center&amp;quot; colspan=&amp;quot;1&amp;quot; bgcolor=&amp;quot;#C9FFFF&amp;quot;&amp;gt; &lt;a href=&quot;/JETohline/index.php/File:FreeNRGmassRadiusN5.png&quot; title=&quot;File:FreeNRGmassRadiusN5.png&quot;&gt;300px|n = 5 Free-Energy Surface&lt;/a&gt; &amp;lt;/td&amp;gt; &amp;lt;td align=&amp;quot;center&amp;quot; colspan=&amp;quot;1&amp;quot; bgcol...&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/Virial/PolytropesEmbeddedOutline&amp;amp;diff=2162&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
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