Difference between revisions of "User:Tohline/Appendix/Images"

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<div align="left">&nbsp;</div>


====Detailed Force-Balanced Models====
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   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SphericallySymmetricConfigurations/SolutionStrategies#Spherically_Symmetric_Configurations_.28Part_II.29|Detailed Force-Balanced Models (Introduction)]]
   <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SphericallySymmetricConfigurations/SolutionStrategies#Spherically_Symmetric_Configurations_.28Part_II.29|Introduction]]
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   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SphericallySymmetricConfigurations/Virial#Energy_Extrema|Virial Equilibrium Structures (Introduction)]]</td>
   <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SSC/Structure/Polytropes#Example_Interval|Isolated Polytropes (DFB)]]</td>
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[http://www.vistrails.org/index.php/File:3DFreeEnergy.jpg Image:3DFreeEnergy.jpg]
[http://www.vistrails.org/index.php/File:PlotTheta5F.png Image:PlotTheta5F.png] (Shrivastava's n = 5 Lane-Emden Function)
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               TOHLINE 1985
               MURPHY 1983
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[http://www.vistrails.org/index.php/File:Tohline1985_Eq9.png Eqns:Tohline1985_Eq9.png]
[http://www.vistrails.org/index.php/File:Murphy1983Extremum02.png Eqns:Murphy1983Extremum02.png]
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   <td align="right" width="15%">Author(s):</td>
   <td align="right" width="15%">Author(s):</td>
   <td align="left">J. E. Tohline</td>
   <td align="left">J. O. Murphy</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Title:</td>
   <td align="right">Title:</td>
   <td align="left">''Star Formation:  Phase Transition, not Jeans Instability''</td>
   <td align="left">''Composite and Analytical Solutions of the Lane-Emden Equation with Polytropic Indices N=1 and N=5''</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Reference:</td>
   <td align="right">Reference:</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1985ApJ...292..181T 1985, '''The Astrophysical Journal''', 292, 181-187]</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1983PASAu...5..175M 1983, '''Proceedings of the Astronomical Society of Australia''', 5, 175-179]</td>
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</tr>
<tr>
<tr>
   <td align="right">Copyright:</td>
   <td align="right">Copyright:</td>
   <td align="left">American Astronomical Society</td>
   <td align="left">Astronomical Society of Australia</td>
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   <td align="right">Permission:</td>
   <td align="right">Permission:</td>
   <td align="left">Granted by J.E.Tohline, who is the sole author</td>
   <td align="left">&#8212;</td>
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   </td>
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  <td align="left" colspan="1" width="5%">&nbsp;</td>
  <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SSC/Structure/PolytropesEmbedded#Overlap_with_Whitworth.27s_Presentation|Embedded Polytropes (DFB)]]</td>
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<!--  
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               WEBER 1976
               HOREDT 1970
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[http://www.vistrails.org/index.php/File:Weber1976_EqB3.png Eqns:Weber1976_EqB3.png]
[http://www.vistrails.org/index.php/File:Horedt_PRdiagram0.png Image:Horedt_PRdiagram0.png];
&nbsp;
[http://www.vistrails.org/index.php/File:Horedt_EmbeddedPolytrope.png Title:Horedt_EmbeddedPolytrope.png];
&nbsp;
[http://www.vistrails.org/index.php/File:HoredtEq00.png Eqns:HoredtEq00.png];
&nbsp;
[http://www.vistrails.org/index.php/File:HoredtEq01.png Eqns:HoredtEq01.png]
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   <td align="right" width="15%">Author(s):</td>
   <td align="right" width="15%">Author(s):</td>
   <td align="left">S. V. Weber</td>
   <td align="left">Gp. Horedt</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Title:</td>
   <td align="right">Title:</td>
   <td align="left">''Oscillation and Collapse of Interstellar Clouds''</td>
   <td align="left">''Gravitational Instability of Polytropic Gas Spheres Under External Pressure''</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Reference:</td>
   <td align="right">Reference:</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1976ApJ...208..113W 1976, '''The Astrophysical Journal''', 208, 113-126]</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1970MNRAS.151...81H 1970, '''Monthly Notices of the Royal Astronomical Society''', 151, 81-86]</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Copyright:</td>
   <td align="right">Copyright:</td>
   <td align="left">American Astronomical Society</td>
   <td align="left">Royal Astronomical Society</td>
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  <td align="left" colspan="1" width="5%">&nbsp;</td>
  <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SSC/Virial/FormFactors|Structural Form Factors]]</td>
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<!--  
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               VIALA & HOREDT 1974
               WHITWORTH 1981
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   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
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[http://www.vistrails.org/index.php/File:VialaHoredt1974.png Eqns:VialaHoredt1974.png]
[http://www.vistrails.org/index.php/File:WhitworthFig1bCopy.jpg Image:WhitworthFig1bCopy.jpg];
&nbsp;
[http://www.vistrails.org/index.php/File:Whitworth1981TitlePage0.png Title:Whitworth1981TitlePage0.png]
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   <td align="right" width="15%">Author(s):</td>
   <td align="right" width="15%">Author(s):</td>
   <td align="left">Y. P. Viala &amp; Gp. Horedt</td>
   <td align="left">A. Whitworth</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Title:</td>
   <td align="right">Title:</td>
   <td align="left">''Polytropic Sheets, Cylinders and Spheres with Negative Index''</td>
   <td align="left">''Global Gravitational Stability for One-dimensional Polytropes''</td>
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</tr>
<tr>
<tr>
   <td align="right">Reference:</td>
   <td align="right">Reference:</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1974A%26A....33..195V 1974, '''Astronomy and Astrophysics''', 33, 195-202]</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1981MNRAS.195..967W 1981, '''Monthly Notices of the Royal Astronomical Society''', 195, 967-977]</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Copyright:</td>
   <td align="right">Copyright:</td>
   <td align="left">European Southern Observatory</td>
   <td align="left">Royal Astronomical Society</td>
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<table border="0" cellpadding="2" align="left" width="100%">
<tr>
  <td align="left" colspan="1" width="5%">&nbsp;</td>
  <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SSC/Structure/Polytropes#Example_Interval|Isolated Polytropes (DFB)]]</td>
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<!--  
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               H_BOOK
               KIMURA 1981
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  <td align="right" colspan="2" width="10%"><font size="-1">&#x1f535;</font></td>
  <td align="left" colspan="2">
[http://www.vistrails.org/index.php/File:PlotTheta5F.png Image:PlotTheta5F.png] (Shrivastava's n = 5 Lane-Emden Function)
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  <td align="right" colspan="2" width="10%">&nbsp;</td>
  <td align="left" colspan="2">
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  <td align="left">Created by the author (J. E. Tohline) for inclusion in this H_Book, ''The Structure, Stability &amp; Dynamics of Self-Gravitating Fluids''.</td>
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  </td>
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<!--
              MURPHY 1983
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   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="left" colspan="2">  
   <td align="left" colspan="2">      
[http://www.vistrails.org/index.php/File:Murphy1983Extremum02.png Eqns:Murphy1983Extremum02.png]
[http://www.vistrails.org/index.php/File:KimuraEq00.png Eqns:KimuraEq00.png];
&nbsp;
[http://www.vistrails.org/index.php/File:KimuraEq01.png Eqns:KimuraEq01.png]
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   <td align="right" width="15%">Author(s):</td>
   <td align="right" width="15%">Author(s):</td>
   <td align="left">J. O. Murphy</td>
   <td align="left">H. Kimura</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Title:</td>
   <td align="right">Title:</td>
   <td align="left">''Composite and Analytical Solutions of the Lane-Emden Equation with Polytropic Indices N=1 and N=5''</td>
   <td align="left">''A Study of Simple Polytropes &#8212; Part Two &#8212; Stability Against Homologous Constraction''</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Reference:</td>
   <td align="right">Reference:</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1983PASAu...5..175M 1983, '''Proceedings of the Astronomical Society of Australia''', 5, 175-179]</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1981PASJ...33..299K 1981, '''Publications of the Astronomical Society of Japan''', 33, 299-312]</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Copyright:</td>
   <td align="right">Copyright:</td>
   <td align="left">Astronomical Society of Australia</td>
   <td align="left">Astronomical Society of Japan</td>
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<table border="0" cellpadding="2" align="left" width="100%">
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  <td align="left" colspan="1" width="5%">&nbsp;</td>
  <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SSC/Structure/PolytropesEmbedded#Overlap_with_Whitworth.27s_Presentation|Embedded Polytropes (DFB)]]</td>
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<!--  
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               HOREDT 1970
               STAHLER 1983
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   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="left" colspan="2">  
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[http://www.vistrails.org/index.php/File:Horedt_PRdiagram0.png Image:Horedt_PRdiagram0.png];  
[http://www.vistrails.org/index.php/File:Stahler1983TitlePage0.png Title:Stahler1983TitlePage0.png];
&nbsp;
&nbsp;
[http://www.vistrails.org/index.php/File:Horedt_EmbeddedPolytrope.png Title:Horedt_EmbeddedPolytrope.png];
[http://www.vistrails.org/index.php/File:Stahler_MRdiagram1.png Image:Stahler_MRdiagram1.png]
&nbsp;
[http://www.vistrails.org/index.php/File:HoredtEq00.png Eqns:HoredtEq00.png];
&nbsp;
[http://www.vistrails.org/index.php/File:HoredtEq01.png Eqns:HoredtEq01.png]
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<tr>
   <td align="right" width="15%">Author(s):</td>
   <td align="right" width="15%">Author(s):</td>
   <td align="left">Gp. Horedt</td>
   <td align="left">S. W. Stahler</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Title:</td>
   <td align="right">Title:</td>
   <td align="left">''Gravitational Instability of Polytropic Gas Spheres Under External Pressure''</td>
   <td align="left">''The Equilibria of Rotating Isotherma Clouds &#8212; Part Two &#8212; Structure and Dynamical Stability''</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Reference:</td>
   <td align="right">Reference:</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1970MNRAS.151...81H 1970, '''Monthly Notices of the Royal Astronomical Society''', 151, 81-86]</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1983ApJ...268..165S 1983, '''The Astrophysical Journal''', 268, 165-184]</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Copyright:</td>
   <td align="right">Copyright:</td>
   <td align="left">Royal Astronomical Society</td>
   <td align="left">American Astronomical Society</td>
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<!--  
<!--  
               WHITWORTH 1981
               H_BOOK
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   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f535;</font></td>
   <td align="left" colspan="2">  
   <td align="left" colspan="2">  
[http://www.vistrails.org/index.php/File:WhitworthFig1bCopy.jpg Image:WhitworthFig1bCopy.jpg];
[http://www.vistrails.org/index.php/File:HoredtPlot2.png Image:HoredtPlot2.png];
&nbsp;
[http://www.vistrails.org/index.php/File:WhitworthPlot2.png Image:WhitworthPlot2.png];
&nbsp;
&nbsp;
[http://www.vistrails.org/index.php/File:Whitworth1981TitlePage0.png Title:Whitworth1981TitlePage0.png]
[http://www.vistrails.org/index.php/File:Stahler1983Comparison.png Image:Stahler1983Comparison.png]
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   <td align="right" colspan="2" width="10%">&nbsp;</td>
   <td align="right" colspan="2" width="10%">&nbsp;</td>
   <td align="left" colspan="2">  
   <td align="left" colspan="2">  
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<table border="1" align="left" width="90%" cellpadding="5">
<tr>
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   <td align="right" width="15%">Author(s):</td>
   <td align="left">Created by the author (J. E. Tohline) for inclusion in this H_Book, ''The Structure, Stability &amp; Dynamics of Self-Gravitating Fluids''.</td>
  <td align="left">A. Whitworth</td>
</tr>
</tr>
<tr>
</table>
  <td align="right">Title:</td>
   </td>
   <td align="left">''Global Gravitational Stability for One-dimensional Polytropes''</td>
</tr>
</tr>
</table>
<div align="left">&nbsp;</div>
====Virial Equilibrium Configurations====
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<tr>
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   <td align="right">Reference:</td>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1981MNRAS.195..967W 1981, '''Monthly Notices of the Royal Astronomical Society''', 195, 967-977]</td>
   <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SphericallySymmetricConfigurations/Virial#Energy_Extrema|Introduction]]</td>
</tr>
</tr>
<!--
              H_BOOK
-->
<tr>
<tr>
   <td align="right">Copyright:</td>
   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f535;</font></td>
   <td align="left">Royal Astronomical Society</td>
   <td align="left" colspan="2">  
[http://www.vistrails.org/index.php/File:3DFreeEnergy.jpg Image:3DFreeEnergy.jpg]
  </td>
</tr>
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   <td align="right">Publisher:</td>
   <td align="right" colspan="2" width="10%">&nbsp;</td>
   <td align="left">Provided by the [http://doc.adsabs.harvard.edu/abs_doc/help_pages/overview.html#use NASA Astrophysics Data System]</td>
   <td align="left" colspan="2">  
</tr>
<table border="1" align="left" width="90%" cellpadding="5">
<tr>
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  <td align="right">Permission:</td>
   <td align="left">Created by the author (J. E. Tohline) for inclusion in this H_Book, ''The Structure, Stability &amp; Dynamics of Self-Gravitating Fluids''.</td>
   <td align="left">&#8212;</td>
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<!--  
<!--  
               KIMURA 1981
               TOHLINE 1985
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   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f535;</font></td>
   <td align="left" colspan="2">      
   <td align="left" colspan="2">  
[http://www.vistrails.org/index.php/File:KimuraEq00.png Eqns:KimuraEq00.png];
[http://www.vistrails.org/index.php/File:Tohline1985_Eq9.png Eqns:Tohline1985_Eq9.png]
&nbsp;
[http://www.vistrails.org/index.php/File:KimuraEq01.png Eqns:KimuraEq01.png]
   </td>
   </td>
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   <td align="right" width="15%">Author(s):</td>
   <td align="right" width="15%">Author(s):</td>
   <td align="left">H. Kimura</td>
   <td align="left">J. E. Tohline</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Title:</td>
   <td align="right">Title:</td>
   <td align="left">''A Study of Simple Polytropes &#8212; Part Two &#8212; Stability Against Homologous Constraction''</td>
   <td align="left">''Star Formation:  Phase Transition, not Jeans Instability''</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Reference:</td>
   <td align="right">Reference:</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1981PASJ...33..299K 1981, '''Publications of the Astronomical Society of Japan''', 33, 299-312]</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1985ApJ...292..181T 1985, '''The Astrophysical Journal''', 292, 181-187]</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Copyright:</td>
   <td align="right">Copyright:</td>
   <td align="left">Astronomical Society of Japan</td>
   <td align="left">American Astronomical Society</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">Permission:</td>
   <td align="right">Permission:</td>
   <td align="left">&#8212;</td>
   <td align="left">Granted by J.E.Tohline, who is the sole author</td>
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<!--  
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               STAHLER 1983
               WEBER 1976
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-->
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   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="right" colspan="2" width="10%"><font size="-1">&#x1f534;</font></td>
   <td align="left" colspan="2">  
   <td align="left" colspan="2">  
[http://www.vistrails.org/index.php/File:Stahler1983TitlePage0.png Title:Stahler1983TitlePage0.png];
[http://www.vistrails.org/index.php/File:Weber1976_EqB3.png Eqns:Weber1976_EqB3.png]
&nbsp;
[http://www.vistrails.org/index.php/File:Stahler_MRdiagram1.png Image:Stahler_MRdiagram1.png]
   </td>
   </td>
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   <td align="right" width="15%">Author(s):</td>
   <td align="right" width="15%">Author(s):</td>
   <td align="left">S. W. Stahler</td>
   <td align="left">S. V. Weber</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Title:</td>
   <td align="right">Title:</td>
   <td align="left">''The Equilibria of Rotating Isotherma Clouds &#8212; Part Two &#8212; Structure and Dynamical Stability''</td>
   <td align="left">''Oscillation and Collapse of Interstellar Clouds''</td>
</tr>
</tr>
<tr>
<tr>
   <td align="right">Reference:</td>
   <td align="right">Reference:</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1983ApJ...268..165S 1983, '''The Astrophysical Journal''', 268, 165-184]</td>
   <td align="left">[http://adsabs.harvard.edu/abs/1976ApJ...208..113W 1976, '''The Astrophysical Journal''', 208, 113-126]</td>
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  <td align="left" colspan="1" width="5%">&nbsp;</td>
  <td align="left" colspan="3">CHAPTER:  [[User:Tohline/SSC/Virial/FormFactors|Structural Form Factors]]</td>
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[http://www.vistrails.org/index.php/File:HoredtPlot2.png Image:HoredtPlot2.png];
[http://www.vistrails.org/index.php/File:VialaHoredt1974.png Eqns:VialaHoredt1974.png]
&nbsp;
[http://www.vistrails.org/index.php/File:WhitworthPlot2.png Image:WhitworthPlot2.png];
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  <td align="right" width="15%">Author(s):</td>
  <td align="left">Y. P. Viala &amp; Gp. Horedt</td>
</tr>
<tr>
  <td align="right">Title:</td>
  <td align="left">''Polytropic Sheets, Cylinders and Spheres with Negative Index''</td>
</tr>
<tr>
  <td align="right">Reference:</td>
  <td align="left">[http://adsabs.harvard.edu/abs/1974A%26A....33..195V 1974, '''Astronomy and Astrophysics''', 33, 195-202]</td>
</tr>
<tr>
  <td align="right">Copyright:</td>
  <td align="left">European Southern Observatory</td>
</tr>
<tr>
  <td align="right">Publisher:</td>
  <td align="left">Provided by the [http://doc.adsabs.harvard.edu/abs_doc/help_pages/overview.html#use NASA Astrophysics Data System]</td>
</tr>
<tr>
<tr>
   <td align="left">Created by the author (J. E. Tohline) for inclusion in this H_Book, ''The Structure, Stability &amp; Dynamics of Self-Gravitating Fluids''.</td>
  <td align="right">Permission:</td>
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Revision as of 17:28, 7 November 2016

Images (to be) Displayed in this H_Book

Whitworth's (1981) Isothermal Free-Energy Surface
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Generated by Tohline or an Immediate Collaborator

  • SECTION: Spherically Symmetric Configurations
    • CHAPTER: Isolated Isothermal Sphere (DFB)
      • File:IsothermalDensityPlot.jpg
      • File:EmdenMassProfile.jpg
      • File:PlotMeanToLocalDensity.jpg
    • CHAPTER: Pressure-Truncated Isothermal Sphere (DFB)
      • File:BonnorFig1usingEmdenData.jpg
      • File:EbertFig2UsingEmdenData2.jpg
      • File:Bonnor1956DPDVplot.jpg
    • CHAPTER: Mass Upper Limits
      • Image:MassRadiusVirialLabeled.png
      • File:Stahler1983Comparison.png
      • Image:PlotSequencesBest02.png
    • CHAPTER: BipolytropeDFB00
      • Image:BipolytropeDynamicalStability2.png
    • CHAPTER: BipolytropeDFB51
      • Image:DenXi05.jpg
      • Image:DenXi10.jpg
      • Image:DenXi30.jpg
      • Image:PresXi05.jpg
      • Image:PresXi10.jpg
      • Image:PresXi30.jpg
      • Image:MassXi05.jpg
      • Image:MassXi10.jpg
      • Image:MassXi30.jpg
      • Image:PlotSequencesBest02.png
      • Image:SC_42Comparison.jpg
      • Image:PlotStabilityBest02.png
    • CHAPTER: BipolytropeDFB15
      • File:MurphyF2roots05.png
      • File:InterfaceMap02.png
      • File:MurphyPhysicallyViableTable3d.png
      • File:MF85Table1byTohline02.png
    • CHAPTER: Isolated Polytropes (Virial)
      • File:AdabaticBoundedSpheres_Virial.jpg
    • CHAPTER: Embedded Polytropes (Virial)
      • File:FreeNRGmassRadiusN5.png
      • File:FreeNRGpressureRadiusIsothermal.png
      • File:EnergyRadiusViewCombined5.png (3/4 of this image constructed for this H_Book)
    • CHAPTER: Isothermal (Virial)
      • File:Bonnor1956Fig1.jpg
      • File:WhitworthLogFig1a_norm.jpg

Extracted from Other Sources

SECTION:  Preamble, Contents, etc.

  CHAPTER: Preface
  CHAPTER: Pictorial Table of Contents
🔴

Image:Graphical_Content_SSC.jpg

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
 

SECTION:  Governing Physics

  CHAPTER: Principle Governing Equations
  CHAPTER: Continuity Equation
  CHAPTER: Euler Equation
  CHAPTER: Rotating Reference Frame
  CHAPTER: Jay Call's Hybrid Scheme
🔴

Eqns:NormanWilson78D.png — (located here)

 
Author(s): M. L. Norman & J. R. Wilson
Title: The Fragmentation of Isothermal Rings and Star Formation
Reference: 1978, The Astrophysical Journal, 224, 497-511
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔵

Eqns:NewTohline97C.png — (located here)

 
Author(s): K. C. B. New & J. E. Tohline
Title: The Relative Stability Against Merger of Close, Compact Binaries
Reference: 1997, The Astrophysical Journal, 490, 311-327
Copyright: The American Astronomical Society
Publisher: Institute of Physics Publishing
Permission: Granted by J.E.Tohline, who is one of the authors
  CHAPTER: Supplemental Relations
  CHAPTER: Total Pressure
  CHAPTER: Quartic Temperature Solution
  CHAPTER: Global Energy Considerations
 

SECTION:  Spherically Symmetric Configurations

  CHAPTER: Introduction
  CHAPTER: Alternate Introduction
🎦

Animation:LSU_Stable.animated.gif;   see, also, an associated description

 
Animated gif created by the LSU astrophysics group in support of Figure 10 in the following publication:
 
Author(s): K. C. B. New & J. E. Tohline
Title: The Relative Stability Against Merger of Close, Compact Binaries
Reference: 1997, The Astrophysical Journal, 490, 311-327
Copyright: The American Astronomical Society
Publisher: Institute of Physics Publishing
Permission: Granted by J.E.Tohline, one of the authors
🎦

Animation:Minitorus.animated.gif

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
 

Detailed Force-Balanced Models

  CHAPTER: Introduction
  CHAPTER: Isolated Polytropes (DFB)
🔵

Image:PlotTheta5F.png (Shrivastava's n = 5 Lane-Emden Function)

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
🔴

Eqns:Murphy1983Extremum02.png

 
Author(s): J. O. Murphy
Title: Composite and Analytical Solutions of the Lane-Emden Equation with Polytropic Indices N=1 and N=5
Reference: 1983, Proceedings of the Astronomical Society of Australia, 5, 175-179
Copyright: Astronomical Society of Australia
Publisher: Provided by the NASA Astrophysics Data System
Permission: —


  CHAPTER: Embedded Polytropes (DFB)
🔴

Image:Horedt_PRdiagram0.png;   Title:Horedt_EmbeddedPolytrope.png;   Eqns:HoredtEq00.png;   Eqns:HoredtEq01.png

 
Author(s): Gp. Horedt
Title: Gravitational Instability of Polytropic Gas Spheres Under External Pressure
Reference: 1970, Monthly Notices of the Royal Astronomical Society, 151, 81-86
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔴

Image:WhitworthFig1bCopy.jpg;   Title:Whitworth1981TitlePage0.png

 
Author(s): A. Whitworth
Title: Global Gravitational Stability for One-dimensional Polytropes
Reference: 1981, Monthly Notices of the Royal Astronomical Society, 195, 967-977
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔴

Eqns:KimuraEq00.png;   Eqns:KimuraEq01.png

 
Author(s): H. Kimura
Title: A Study of Simple Polytropes — Part Two — Stability Against Homologous Constraction
Reference: 1981, Publications of the Astronomical Society of Japan, 33, 299-312
Copyright: Astronomical Society of Japan
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔴

Title:Stahler1983TitlePage0.png;   Image:Stahler_MRdiagram1.png

 
Author(s): S. W. Stahler
Title: The Equilibria of Rotating Isotherma Clouds — Part Two — Structure and Dynamical Stability
Reference: 1983, The Astrophysical Journal, 268, 165-184
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔵

Image:HoredtPlot2.png;   Image:WhitworthPlot2.png;   Image:Stahler1983Comparison.png

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
 

Virial Equilibrium Configurations

  CHAPTER: Introduction
🔵

Image:3DFreeEnergy.jpg

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
🔵

Eqns:Tohline1985_Eq9.png

 
Author(s): J. E. Tohline
Title: Star Formation: Phase Transition, not Jeans Instability
Reference: 1985, The Astrophysical Journal, 292, 181-187
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: Granted by J.E.Tohline, who is the sole author
🔴

Eqns:Weber1976_EqB3.png

 
Author(s): S. V. Weber
Title: Oscillation and Collapse of Interstellar Clouds
Reference: 1976, The Astrophysical Journal, 208, 113-126
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —


  CHAPTER: Structural Form Factors
🔴

Eqns:VialaHoredt1974.png

 
Author(s): Y. P. Viala & Gp. Horedt
Title: Polytropic Sheets, Cylinders and Spheres with Negative Index
Reference: 1974, Astronomy and Astrophysics, 33, 195-202
Copyright: European Southern Observatory
Publisher: Provided by the NASA Astrophysics Data System
Permission: —



    • CHAPTER: Isolated Isothermal Sphere (DFB)
      • File:EmdenBookCover1907.jpg
      • File:EmdenIsothermalDerivation.jpg
      • File:EmdenTable14.jpg
    • CHAPTER: Pressure-Truncated Isothermal Sphere (DFB)
      • File:BonnorDerivation01.jpg
      • File:EbertDerivation01.jpg
      • File:Bonnor1956Fig1reproduced.jpg
      • File:EbertFig2Title.jpg
      • File:WhitworthFig1bFlipped.jpg
    • CHAPTER: Mass Upper Limits
      • Image:SC42excerpt.jpg
      • File:Stahler1983TitlePage0.png
      • File:Stahler_MRdiagram1.png
    • CHAPTER: BipolytropesDFB (Overview)
      • Image:CowlingRE_Milne1931.jpg
      • Image:SchonbergChandra1942.jpg
    • CHAPTER: BipolytropeDFB51
      • Image:SC42_Fig1.jpg
      • Image:HenrichChandra41b.jpg
      • Image:HenrichChandra41a.jpg
      • Image:EagletonFaulknerCannon98.jpg
      • File:Buchdahl1978.png
    • CHAPTER: BipolytropeDFB15
      • File:Table3CompleteCol1.png
      • File:Table3CompleteCol2.png
      • File:Table3CompleteCol3.png
      • File:Table3CompleteCol4.png
      • File:Table3CompleteCol5.png
      • File:Table3CompleteCol6.png
      • File:MF85Table1.png
    • CHAPTER: Isolated Polytropes (Virial)
      • File:Whitworth1981Eq5.jpg [used in another chapter as well]
Author(s): A. Whitworth
Title: Global Gravitational Stability for One-dimensional Polytropes
Reference: 1981, Monthly Notices of the Royal Astronomical Society, 195, 967-977
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
    • CHAPTER: Embedded Polytropes (Virial)
      • File:Whitworth1981Eq10.jpg
      • File:Whitworth1981Eq5.jpg [used in another chapter as well]
      • File:EnergyRadiusViewCombined5.png (1/4 of this image extracted from Whitworth's work)
Author(s): A. Whitworth
Title: Global Gravitational Stability for One-dimensional Polytropes
Reference: 1981, Monthly Notices of the Royal Astronomical Society, 195, 967-977
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System

See Also

Whitworth's (1981) Isothermal Free-Energy Surface

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