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

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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) = (0,0)</math> &hellip;</td>
   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (0,0)</math> &hellip;</td>
   <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/Analytic0_0#BiPolytrope_with_nc_.3D_0_and_ne_.3D_0|<font size="+2" color="green">&#x2713;</font>]]</td><td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy0_0#Free_Energy_of_BiPolytrope_with|<font size="+2" color="green">&#x2713;</font>]]</td>
   <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/Analytic0_0#BiPolytrope_with_nc_.3D_0_and_ne_.3D_0|<font size="+2" color="green">&#x2713;</font>]]</td>
  <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/FreeEnergy0_0#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) = (5,1)</math> &hellip;</td>
   <td align="left">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td><td align="left">Core-Envelope Structure with <math>~(n_c,n_e) = (5,1)</math> &hellip;</td>
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   <td align="center" width="25%">[[User:Tohline/SSC/Structure/BiPolytropes/Analytic5_1#BiPolytrope_with_nc_.3D_5_and_ne_.3D_1|<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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Revision as of 18:32, 29 August 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
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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) …
  • Zero-temperature White Dwarf — Overview
  • Power-law density distribution — Overview
  • BiPolytropes (also referred to as Composite Polytropes)
Overview Overview
        Core-Envelope Structure with <math>~(n_c,n_e) = (0,0)</math> …
        Core-Envelope Structure with <math>~(n_c,n_e) = (5,1)</math> …

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