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   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Embedded in an External Medium &hellip;</td>
   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Embedded in an External Medium &hellip;</td>
-
   <td align="center" width="25%">[[User:Tohline/SSC/Structure/PolytropesEmbedded#Embedded_Polytropic_Spheres|<font size="+2" color="green">&#x2713;</font>]]</td><td align="center" width="25%">[[User:Tohline/SSC/Virial/PolytropesEmbeddedOutline#Virial_Equilibrium_of_Embedded_Polytropic_Spheres|<font size="+2" color="green">&#x2713;</font>]]</td>
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   <td align="center" width="25%">[[User:Tohline/SSC/Structure/PolytropesEmbedded#Embedded_Polytropic_Spheres|<font size="+2" color="green">&#x2713;</font>]]</td><td align="center" width="25%">[[User:Tohline/SSC/Virial/PolytropesEmbeddedOutline#Virial_Equilibrium_of_Embedded_Polytropic_Spheres|<font size="+2" color="green">&#x2713;</font>]]&nbsp; &nbsp;[[User:Tohline/SSC/Virial/PolytropesEmbeddedOutline#3DIsothermalSurface|<font size="+2">&#x1F3A6;</font>]]</td>
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   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Isolated &hellip;</td>
   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Isolated &hellip;</td>
-
   <td align="center" width="25%">[[User:Tohline/SSC/Structure/IsothermalSphere#Isothermal_Sphere|<font size="+2" color="green">&#x2713;</font>]]</td><td align="center" width="25%">[[User:Tohline/SSC/Virial/Isothermal|<font size="+2" color="green">&#x2713;</font>]]</td>
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   <td align="center" width="25%">[[User:Tohline/SSC/Structure/IsothermalSphere#Isothermal_Sphere|<font size="+2" color="green">&#x2713;</font>]]</td><td align="center" width="25%">[[User:Tohline/SSC/Virial/Isothermal#Isothermal_Evolutions|<font size="+2" color="green">&#x2713;</font>]]</td>
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   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Embedded in an External Medium (Bonnor-Ebert Sphere) &hellip;</td>
   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Embedded in an External Medium (Bonnor-Ebert Sphere) &hellip;</td>
-
   <td align="center" width="25%">[[User:Tohline/SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere|<font size="+2" color="green">&#x2713;</font>]]<td align="center" width="25%">[[User:Tohline/SphericallySymmetricConfigurations/Virial#Bounded_Isothermal|<font size="+2" color="green">&#x2713;</font>]]</td>
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   <td align="center" width="25%">[[User:Tohline/SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere|<font size="+2" color="green">&#x2713;</font>]]<td align="center" width="25%">[[User:Tohline/SSC/Virial/Isothermal#Bounded_Isothermal|<font size="+2" color="green">&#x2713;</font>]]</td>
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* Power-law density distribution &#8212; [[User:Tohline/SSC/Structure/PowerLawDensity#Power-Law_Density_Distributions|Overview]]
* Power-law density distribution &#8212; [[User:Tohline/SSC/Structure/PowerLawDensity#Power-Law_Density_Distributions|Overview]]
   </td>
   </td>
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  <td align="left" colspan="2">
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* Other Analytically Definable Models
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  </td>
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  <td align="center" width="25%">[[User:Tohline/SSC/Structure/Other_Analytic_Models|<font size="+2" color="green">&#x2713;</font>]]</td>
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  <td align="center" width="25%">&nbsp; &hellip; &nbsp;</td>
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   <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy5_1#Free_Energy_of_BiPolytrope_with|<font size="+2" color="green">&#x2713;</font>]]</td>
   <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy5_1#Free_Energy_of_BiPolytrope_with|<font size="+2" color="green">&#x2713;</font>]]</td>
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  <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (1,5)</math> &hellip;</td>
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  <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/Analytic1_5#BiPolytrope_with_nc_.3D_1_and_ne_.3D_5|<font size="+2" color="green">&#x2713;</font>]]</td>
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  <td align="center" width="25%">&nbsp; &hellip; &nbsp;</td>
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  <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (\tfrac{3}{2},3)</math> &hellip;</td>
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  <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/Analytic1.5_3|<font size="+2" color="green">&#x2713;</font>]]</td>
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  <td align="center" width="25%">&nbsp; &hellip; &nbsp;</td>
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<!--  COMMENT OUT
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  <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Also to be studied: [http://adsabs.harvard.edu/abs/2012MNRAS.421.2713B Ball, Tout, &amp; &#x017B;ytkow] (2012, MNRAS, 421, 2713)</td>
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  <td align="center" width="25%">&nbsp;</td>
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  <td align="center" width="25%">&nbsp;</td>
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FINISH COMMENT OUT -->
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   <td align="left" colspan="4">
   <td align="left" colspan="4">
* Limiting Masses &#8212; [[User:Tohline/SSC/Structure/LimitingMasses#Mass_Upper_Limits|Summary]]
* Limiting Masses &#8212; [[User:Tohline/SSC/Structure/LimitingMasses#Mass_Upper_Limits|Summary]]
 +
* [[User:Tohline/SSC/FreeEnergy/Equilibrium_Sequence_Instabilities|Instabilities Associated with Equilibrium Sequence Turning Points]]
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** [[User:Tohline/SSC/FreeEnergy/PowerPoint#General_Free-Energy_Expression|Material Underpinning Summary PowerPoint Slides]]
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Current revision as of 09:32, 24 September 2016

Solution Strategies:    

Detailed Force-Balance
(Introduction)

Virial Equilibrium
(Introduction)

Example Solutions:
  • Uniform-density sphere
        Isolated …
    Embedded in an External Medium …
  • Polytropes
    Isolated …
    Embedded in an External Medium …    🎦
  • Isothermal sphere
    Isolated …
    Embedded in an External Medium (Bonnor-Ebert Sphere) …
  • Zero-temperature White Dwarf — Overview
  • Power-law density distribution — Overview
  • Other Analytically Definable Models
  …  
  • BiPolytropes (also referred to as Composite Polytropes)
Overview Overview
        Core-Envelope Structure with ~(n_c,n_e) = (0,0)
        Core-Envelope Structure with ~(n_c,n_e) = (5,1)
        Core-Envelope Structure with ~(n_c,n_e) = (1,5)   …  
        Core-Envelope Structure with ~(n_c,n_e) = (\tfrac{3}{2},3)   …  
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