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Solution Strategies: Detailed Force-Balance
(Introduction) Virial Equilibrium
(SSCpt1/Virial#Virial_Equilibrium_of_Spherically_Symmetric_Configu..."
2024-01-16T17:37:13Z

Created page with "<table border="1" width="100%" cellspacing="2" cellpadding="8"> <tr> <th align="right" width="50%"> Solution Strategies: </th> <th align="center" width="25%"> <font color="black">Detailed Force-Balance</font><br>(Introduction) </th> <th align="center"> <font color="black">Virial Equilibrium</font><br>(SSCpt1/Virial#Virial_Equilibrium_of_Spherically_Symmetric_Configu..."

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Solution Strategies:    
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<font color="black">Detailed Force-Balance</font><br>([[SSCpt2/SolutionStrategies#Spherically_Symmetric_Configurations_.28Part_II.29|Introduction]])
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<font color="black">Virial Equilibrium</font><br>([[SSCpt1/Virial#Virial_Equilibrium_of_Spherically_Symmetric_Configurations|Introduction]])
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<td align="left" colspan="4">Example Solutions: </td>
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* Uniform-density sphere
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<td align="left">        </td><td align="left">Isolated …</td>
<td align="center" width="25%">[[SSC/Structure/UniformDensity#Isolated_Uniform-Density_Sphere|<font size="+2" color="green">✓</font>]]</td><td align="center" width="25%">[[SSC/VirialEquilibrium/UniformDensity#Uniform-Density_Sphere|<font size="+2" color="green">✓</font>]]</td>
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<td align="left">    </td><td align="left">Embedded in an External Medium …</td>
<td align="center" width="25%">[[SSC/Structure/UniformDensity#Uniform-Density_Sphere_Embedded_in_an_External_Medium|<font size="+2" color="green">✓</font>]]</td><td align="center" width="25%">[[SSC/VirialEquilibrium/UniformDensity#Adiabatic_Evolution_of_Pressure-truncated_Sphere|<font size="+2" color="green">✓</font>]]</td>
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* Polytropes
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<td align="left">    </td><td align="left">Isolated …</td>
<td align="center" width="25%">[[SSC/Structure/Polytropes#Polytropic_Spheres|<font size="+2" color="green">✓</font>]]</td><td align="center" width="25%">[[SSC/Virial/Polytropes#Isolated_Nonrotating_Adiabatic_Configuration|<font size="+2" color="green">✓</font>]]</td>
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<td align="left">    </td><td align="left">Embedded in an External Medium …</td>
<td align="center" width="25%">[[SSC/Structure/PolytropesEmbedded#Embedded_Polytropic_Spheres|<font size="+2" color="green">✓</font>]]</td><td align="center" width="25%">[[SSC/Virial/PolytropesEmbeddedOutline#Virial_Equilibrium_of_Embedded_Polytropic_Spheres|<font size="+2" color="green">✓</font>]]   [[SSC/Virial/PolytropesEmbeddedOutline#3DIsothermalSurface|<font size="+2">🎦</font>]]</td>
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* Isothermal sphere
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<td align="left">    </td><td align="left">Isolated …</td>
<td align="center" width="25%">[[SSC/Structure/IsothermalSphere#Isothermal_Sphere|<font size="+2" color="green">✓</font>]]</td><td align="center" width="25%">[[SSC/Virial/Isothermal#Isothermal_Evolutions|<font size="+2" color="green">✓</font>]]</td>
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<td align="left">    </td><td align="left">Embedded in an External Medium (Bonnor-Ebert Sphere) …</td>
<td align="center" width="25%">[[SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere|<font size="+2" color="green">✓</font>]]<td align="center" width="25%">[[SSC/Virial/Isothermal#Bounded_Isothermal|<font size="+2" color="green">✓</font>]]</td>
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* Zero-temperature White Dwarf — [[SSC/Structure/WhiteDwarfs#White_Dwarfs|Overview]]
* Power-law density distribution — [[SSC/Structure/PowerLawDensity#Power-Law_Density_Distributions|Overview]]
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* Other Analytically Definable Models
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<td align="center" width="25%">[[SSC/Structure/Other_Analytic_Models|<font size="+2" color="green">✓</font>]]</td>
<td align="center" width="25%">  …  </td>
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* BiPolytropes (also referred to as ''Composite Polytropes'')
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<td align="center" width="25%">[[SSC/Structure/BiPolytropes#BiPolytropes|Overview]]</td>
<td align="center" width="25%">[[SSC/BipolytropeGeneralizationVersion2#Bipolytrope_Generalization|Overview]]</td>
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<td align="left">        </td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (0,0)</math> …</td>
<td align="center" width="25%">[[SSC/Structure/BiPolytropes/Analytic0_0#BiPolytrope_with_nc_.3D_0_and_ne_.3D_0|<font size="+2" color="green">✓</font>]]</td>
<td align="center" width="25%">[[SSC/Structure/BiPolytropes/FreeEnergy0_0#Free_Energy_of_BiPolytrope_with|<font size="+2" color="green">✓</font>]]</td>
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<td align="left">        </td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (5,1)</math> …</td>
<td align="center" width="25%">[[SSC/Structure/BiPolytropes/Analytic5_1#BiPolytrope_with_nc_.3D_5_and_ne_.3D_1|<font size="+2" color="green">✓</font>]]</td>
<td align="center" width="25%">[[SSC/Structure/BiPolytropes/FreeEnergy5_1#Free_Energy_of_BiPolytrope_with|<font size="+2" color="green">✓</font>]]</td>
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<td align="left">        </td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (1,5)</math> …</td>
<td align="center" width="25%">[[SSC/Structure/BiPolytropes/Analytic1_5#BiPolytrope_with_nc_.3D_1_and_ne_.3D_5|<font size="+2" color="green">✓</font>]]</td>
<td align="center" width="25%">  …  </td>
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<td align="left">        </td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (\tfrac{3}{2},3)</math> …</td>
<td align="center" width="25%">[[SSC/Structure/BiPolytropes/Analytic1.5_3|<font size="+2" color="green">✓</font>]]</td>
<td align="center" width="25%">  …  </td>
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* Limiting Masses — [[SSC/Structure/LimitingMasses|Summary]]
* [[SSC/FreeEnergy/EquilibriumSequenceInstabilities|Instabilities Associated with Equilibrium Sequence Turning Points]]
** [[SSC/FreeEnergy/Powerpoint#General_Free-Energy_Expression|Material Underpinning Summary PowerPoint Slides]]
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