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Revision as of 17:27, 17 January 2015


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 ~(n_c,n_e) = (0,0)
        Core-Envelope Structure with ~(n_c,n_e) = (5,1)

Stability:

Background: Sound Waves

Solution Strategy Assuming Spherical Symmetry:

Virial Stability

Bipolytrope Generalization

Example Solutions:

Dynamics:

Spherical Collapse:


 
 
 

Two-Dimensional Configurations

Structure:

Solution Strategies

Virial Equilibrium

Example Solutions:

Stability:

Dynamics:

 
 
 

Three-Dimensional Configurations

Structure:

Solution Strategies

Example Solutions:

Stability:

Dynamics:

 
 
 

Related Projects Underway


Appendices


See Also

Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2020 by Joel E. Tohline
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