Difference between revisions of "User:Tohline/H Book"

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(→‎Structure:: More rework of outline)
(→‎Structure:: Delete older table of contents)
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===Structure:===
===Structure:===
<table border="1" width="100%" cellspacing="2" cellpadding="8">
<tr>
  <td align="left">
<font color="darkblue">'''[[User:Tohline/SphericallySymmetricConfigurations/SolutionStrategies#Spherically_Symmetric_Configurations_.28Part_II.29|Solution Strategies]]'''</font>
  </td>
  <td align="right">
<font color="darkblue">'''[[User:Tohline/SphericallySymmetricConfigurations/Virial#Virial_Equilibrium|Virial Equilibrium]]'''</font>
  </td>
</tr>
<tr>
  <td align="left" colspan="2">
Example Solutions:
* [[User:Tohline/SSC/Structure/UniformDensity#Uniform-Density_Sphere|Uniform-density sphere]]
* [[User:Tohline/SSC/Structure/PowerLawDensity#Power-Law_Density_Distributions|Power-law density distribution]]
* Polytropes
**[[User:Tohline/SSC/Structure/Polytropes#Polytropic_Spheres|Isolated]]
**[[User:Tohline/SSC/Structure/PolytropesEmbedded#Embedded_Polytropic_Spheres|Embedded in External Medium]]
* Isothermal sphere
**[[User:Tohline/SSC/Structure/IsothermalSphere#Isothermal_Sphere|Isolated]]
**[[User:Tohline/SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere|Bonnor-Ebert Sphere]]
* [[User:Tohline/SSC/Structure/WhiteDwarfs#White_Dwarfs|Zero-temperature White Dwarf]]
* [[User:Tohline/SSC/Structure/BiPolytropes#BiPolytropes|BiPolytropes]]
** [[User:Tohline/SSC/Structure/BiPolytropes/Analytic0_0#BiPolytrope_with_nc_.3D_0_and_ne_.3D_0|Analytic solution]] for <math>n_c = 0, ~n_e = 0</math>.
** [[User:Tohline/SSC/Structure/BiPolytropes/Analytic5_1#BiPolytrope_with_nc_.3D_5_and_ne_.3D_1|Analytic solution]] for <math>n_c = 5, ~n_e = 1</math>.
* [[User:Tohline/SSC/Structure/LimitingMasses#Mass_Upper_Limits|Limiting Masses]]  </td>
</tr>
</table>
&nbsp;<br>


<table border="1" width="100%" cellspacing="2" cellpadding="8">
<table border="1" width="100%" cellspacing="2" cellpadding="8">
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   <td align="left" colspan="4">
   <td align="left" colspan="4">
* Isothermal sphere
* Isothermal sphere
**[[User:Tohline/SSC/Structure/IsothermalSphere#Isothermal_Sphere|Isolated]]
  </td>
**[[User:Tohline/SSC/Structure/BonnorEbert#Pressure-Bounded_Isothermal_Sphere|Embedded in External Medium]] (Bonnor-Ebert Sphere)
</tr>
<tr>
  <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%">---</td>
</tr>
<tr>
  <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><td align="center" width="25%">---</td>
</tr>
<tr>
  <td align="left" colspan="4">
* [[User:Tohline/SSC/Structure/WhiteDwarfs#White_Dwarfs|Zero-temperature White Dwarf]]
* [[User:Tohline/SSC/Structure/WhiteDwarfs#White_Dwarfs|Zero-temperature White Dwarf]]
* [[User:Tohline/SSC/Structure/PowerLawDensity#Power-Law_Density_Distributions|Power-law density distribution]]
* [[User:Tohline/SSC/Structure/PowerLawDensity#Power-Law_Density_Distributions|Power-law density distribution]]

Revision as of 17:43, 1 May 2014


Preface from the original version of this HyperText Book (H_Book):

November 18, 1994

Much of our present, basic understanding of the structure, stability, and dynamical evolution of individual stars, short-period binary star systems, and the gaseous disks that are associated with numerous types of stellar systems (including galaxies) is derived from an examination of the behavior of a specific set of coupled, partial differential equations. These equations — most of which also are heavily utilized in studies of continuum flows in terrestrial environments — are thought to govern the underlying physics of all macroscopic "fluid" systems in astronomy. Although relatively simple in form, they prove to be very rich in nature... <more>

Whitworth's (1981) Isothermal Free-Energy Surface
|   Tiled Menu   |   Tables of Content   |  Banner Video   |  Tohline Home Page   |

Pictorial Table of Contents

Context

Applications

Spherically Symmetric Configurations

Introduction (Alternate Introduction)

Structure:

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) … ---

Stability:

Solution Strategy

Virial Stability

Bipolytrope Generalization

Example Solutions:

Dynamics:

Two-Dimensional Configurations

Structure:

Solution Strategies

Virial Equilibrium

Example Solutions:

Stability:

Dynamics:

Three-Dimensional Configurations

Structure:

Solution Strategies

Example Solutions:

Stability:

Dynamics:

Appendices


See Also

Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
|   H_Book Home   |   YouTube   |
Appendices: | Equations | Variables | References | Ramblings | Images | myphys.lsu | ADS |
Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation