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Pages Worth Visiting

• Introductory Web Page
• Experimenting With the a2Hosting Environment
• Riemann (1861)
• Appendix: Equation Templates
• Appendix: Special Functions
• Appendix: Variables Templates
• Appendix: SGF Images
• Appendix: Mathematics/EulerAngles
• Appendix: References
• Appendix: Ramblings
• Appendix: Permissions     <==     Not usable; editing error
• Appendix: Copyright Permissions
• Appendix: Format Recommendations
• Tiled Menu
• Table of Contents
• Total pressure quartic solution
• Spherically Symmetric Configurations (SSC) Index
• Virial Equilibrium of Adiabatic Spheres
• Virial Equilibrium of Adiabatic Spheres (Summary)
• Virial Equilibrium of Isothermal Spheres
• Virial Equilibrium of Uniform-Density Spheres
• Virial of Embedded Polytropes (Outline)
  • First Effort     $\Leftarrow$     Same as "Virial Equilibrium of Adiabatic Spheres"
  • Second Effort     $\Leftarrow$     Same as "Virial Equilibrium of Adiabatic Spheres (Summary)"
  • Third Effort     $\Leftarrow$     FormFactors
  • First Effort, Second Time Around     $\Leftarrow$     We reproduce discussion associated with "First Effort," but correct expressions for ${\mathfrak{𝔣}}_W$ and ${\mathfrak{𝔣}}_A$ as identified in our "Third Effort" and, accordingly reserve various affected expressions that follow.
  • Second Effort, Second Time Around     $\Leftarrow$     We reproduce the discussion associated with our "Second Effort," but revise key sections to incorporate corrected expressions for the structural form factors.
• SSC Synopsis (Using Style Sheet)
• PP Tori: Structure & Stability
  • Menu Tile:  Papaloizou-Pringle Tori (1984) = Apps/PapaloizouPringleTori; this chapter focuses on equilibrium structure.
  • Menu Tile:  (Massless) Papaloizou-Pringle Tori = Apps/PapaloizouPringle84; in mid-July of 2020, Blaes granted permission to include in this chapter some reprinted material from his 1985 paper.
  • Menu Tile:  Analytic Analysis by Blaes (1985) = Apps/ImamuraHadleyCollaboration; compare Blaes85 against Imamura-Hadley Collaboration]; in mid-July of 2020, Blaes granted permission to include in this chapter some reprinted material from his 1985 paper.
  • Oscillations in the Slim Torus limit = Apps/Blaes85SlimLimit
• Earlier version of the PGE/Euler chapter
• Explains Whitworth's chosen scaling
• Details regarding Stahler's (1983) derived mass-radius relation
• Practice use of image map (Image:SchonbergChandra1942.jpg)
• Mass Upper Limits
• Bipolytrope Generalization:
  • Bipolytrope Generalization (original)
  • Bipolytrope Generalization (Version 2)
• Note that …Template: "SSCstructure" points to original "table of contents"
• Stability of Spherically Symmetric Configurations (Eulerian Perspective) <-- Includes scratch work with rarely used html characters, such as ⑧
• Supports Free-Energy PowerPoint Presentation
• Free-Energy Stability Analysis (early version)
• Attempt at Formulating an Analytic Solution to oscillating n = 1 polytrope; see also the Challenge
• ProjectsUnderway/Core_Collapse_Supernovae  $\Leftarrow$   Referenced in our discussion of Goldreich & Weber (1980)
• Power-Law Density Distribution
• Nonlinear PGEs in Cylindrical Coordinates
• Linearized Equations in Cylindrical Coordinates     <==     Referenced, for example, in out discussion of PP84

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