User:Tohline/Appendix/Images

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Images (to be) Displayed in this H_Book

Whitworth's (1981) Isothermal Free-Energy Surface
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Generated by Tohline or an Immediate Collaborator

  • SECTION: Spherically Symmetric Configurations
    • CHAPTER: Isolated Isothermal Sphere (DFB)
      • File:IsothermalDensityPlot.jpg
      • File:EmdenMassProfile.jpg
      • File:PlotMeanToLocalDensity.jpg
    • CHAPTER: Pressure-Truncated Isothermal Sphere (DFB)
      • File:BonnorFig1usingEmdenData.jpg
      • File:EbertFig2UsingEmdenData2.jpg
      • File:Bonnor1956DPDVplot.jpg
    • CHAPTER: Mass Upper Limits
      • Image:MassRadiusVirialLabeled.png
      • File:Stahler1983Comparison.png
      • Image:PlotSequencesBest02.png
    • CHAPTER: BipolytropeDFB00
      • Image:BipolytropeDynamicalStability2.png
    • CHAPTER: BipolytropeDFB51
      • Image:DenXi05.jpg
      • Image:DenXi10.jpg
      • Image:DenXi30.jpg
      • Image:PresXi05.jpg
      • Image:PresXi10.jpg
      • Image:PresXi30.jpg
      • Image:MassXi05.jpg
      • Image:MassXi10.jpg
      • Image:MassXi30.jpg
      • Image:PlotSequencesBest02.png
      • Image:SC_42Comparison.jpg
      • Image:PlotStabilityBest02.png
    • CHAPTER: BipolytropeDFB15
      • File:MurphyF2roots05.png
      • File:InterfaceMap02.png
      • File:MurphyPhysicallyViableTable3d.png
      • File:MF85Table1byTohline02.png
    • CHAPTER: Isolated Polytropes (Virial)
      • File:AdabaticBoundedSpheres_Virial.jpg
    • CHAPTER: Embedded Polytropes (Virial)
      • File:FreeNRGmassRadiusN5.png
      • File:FreeNRGpressureRadiusIsothermal.png
      • File:EnergyRadiusViewCombined5.png (3/4 of this image constructed for this H_Book)
    • CHAPTER: Isothermal (Virial)
      • File:Bonnor1956Fig1.jpg
      • File:WhitworthLogFig1a_norm.jpg

Extracted from Other Sources

SECTION:  Preamble, Contents, etc.

  WIKI CHAPTER: Preface
  WIKI CHAPTER: Pictorial Table of Contents
🔴

Image:Graphical_Content_SSC.jpg

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
 

SECTION:  Governing Physics

  WIKI CHAPTER: Principle Governing Equations
  WIKI CHAPTER: Continuity Equation
  WIKI CHAPTER: Euler Equation
  WIKI CHAPTER: Rotating Reference Frame
  WIKI CHAPTER: Hybrid Advection Scheme (Preface)
  WIKI CHAPTER: Hybrid Advection Scheme (Background circa 2000)
  WIKI CHAPTER: Jay Call's Hybrid Scheme
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Eqns:NormanWilson78D.png — (embedded in wiki chapter here)

 
Author(s): M. L. Norman & J. R. Wilson
Title: The Fragmentation of Isothermal Rings and Star Formation
Reference: 1978, The Astrophysical Journal, 224, 497-511
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔵

Eqns:NewTohline97C.png — (embedded in wiki chapter here)

 
Author(s): K. C. B. New & J. E. Tohline
Title: The Relative Stability Against Merger of Close, Compact Binaries
Reference: 1997, The Astrophysical Journal, 490, 311-327
Copyright: The American Astronomical Society
Publisher: Institute of Physics Publishing
Permission: Granted by J.E.Tohline, who is one of the authors
  WIKI CHAPTER: Supplemental Relations
  WIKI CHAPTER: Total Pressure
  WIKI CHAPTER: Quartic Temperature Solution
  WIKI CHAPTER: Simple Rotation Profiles
  WIKI CHAPTER: Global Energy Considerations
 

SECTION:  Spherically Symmetric Configurations

  WIKI CHAPTER: Introduction
  WIKI CHAPTER: Alternate Introduction
🎦

Animation:LSU_Stable.animated.gif;   see, also, an associated description

 
Animated gif created by the LSU astrophysics group in support of Figure 10 in the following publication:
 
Author(s): K. C. B. New & J. E. Tohline
Title: The Relative Stability Against Merger of Close, Compact Binaries
Reference: 1997, The Astrophysical Journal, 490, 311-327
Copyright: The American Astronomical Society
Publisher: Institute of Physics Publishing
Permission: Granted by J.E.Tohline, one of the authors
🎦

Animation:Minitorus.animated.gif

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
 

Detailed Force-Balanced Models

  WIKI CHAPTER: Introductory Summary
🔵

Image:FreeNRGpressureRadiusIsothermal.png;   Image:MassRadiusVirialLabeled.png;   Image:PlotSequencesBest02.png

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: Introduction (Part I)
  WIKI CHAPTER: Introduction (Part II)
  WIKI CHAPTER: Uniform-Density Sphere … Isolated (DFB)
  WIKI CHAPTER: Uniform-Density Sphere … Pressure-Truncated (DFB)
  WIKI CHAPTER: Polytropes … Isolated (DFB)
🔵

Image:PlotTheta5F.png (Shrivastava's n = 5 Lane-Emden Function)

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
🔴

Eqns:Murphy1983Extremum02.png

 
Author(s): J. O. Murphy
Title: Composite and Analytical Solutions of the Lane-Emden Equation with Polytropic Indices N=1 and N=5
Reference: 1983, Proceedings of the Astronomical Society of Australia, 5, 175-179
Copyright: Astronomical Society of Australia
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔴

Eqns:Mach2012Eqs.png

 
Author(s): P. Mach
Title: All Solutions of the n = 5 Lane-Emden Equation
Reference: 2012, Journal of Mathematical Physics, 53, 062503-062503-6
Copyright: American Institute of Physics
Publisher: Provided by the NASA Astrophysics Data System
Permission: —


  WIKI CHAPTER: Polytropes … Pressure-Truncated (DFB)
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Image:Horedt_PRdiagram0.png;   Title:Horedt_EmbeddedPolytrope.png;   Eqns:HoredtEq00.png;   Eqns:HoredtEq01.png

 
Author(s): Gp. Horedt
Title: Gravitational Instability of Polytropic Gas Spheres Under External Pressure
Reference: 1970, Monthly Notices of the Royal Astronomical Society, 151, 81-86
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔴

Image:WhitworthFig1bCopy.jpg;   Title:Whitworth1981TitlePage0.png

 
Author(s): A. Whitworth
Title: Global Gravitational Stability for One-dimensional Polytropes
Reference: 1981, Monthly Notices of the Royal Astronomical Society, 195, 967-977
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔴

Eqns:KimuraEq00.png;   Eqns:KimuraEq01.png

 
Author(s): H. Kimura
Title: A Study of Simple Polytropes — Part Two — Stability Against Homologous Constraction
Reference: 1981, Publications of the Astronomical Society of Japan, 33, 299-312
Copyright: Astronomical Society of Japan
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔴

Title:Stahler1983TitlePage0.png;   Image:Stahler_MRdiagram1.png

 
Author(s): S. W. Stahler
Title: The Equilibria of Rotating Isotherma Clouds — Part Two — Structure and Dynamical Stability
Reference: 1983, The Astrophysical Journal, 268, 165-184
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —
🔵

Image:HoredtPlot2.png;   Image:WhitworthPlot2.png;   Image:Stahler1983Comparison.png

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: Isothermal Sphere … Isolated (DFB)
  WIKI CHAPTER: Isothermal Sphere … Pressure-Truncated (DFB);   Familiarly, a Bonnor-Ebert Sphere


 

Virial Equilibrium Configurations

  WIKI CHAPTER: Introduction
🔵

Image:3DFreeEnergy.jpg

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
🔵

Eqns:Tohline1985_Eq9.png

 
Author(s): J. E. Tohline
Title: Star Formation: Phase Transition, not Jeans Instability
Reference: 1985, The Astrophysical Journal, 292, 181-187
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: Granted by J.E.Tohline, who is the sole author
🔴

Eqns:Weber1976_EqB3.png

 
Author(s): S. V. Weber
Title: Oscillation and Collapse of Interstellar Clouds
Reference: 1976, The Astrophysical Journal, 208, 113-126
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission: —


  WIKI CHAPTER: Structural Form Factors
🔴

Eqns:VialaHoredt1974.png

 
Author(s): Y. P. Viala & Gp. Horedt
Title: Polytropic Sheets, Cylinders and Spheres with Negative Index
Reference: 1974, Astronomy and Astrophysics, 33, 195-202
Copyright: European Southern Observatory
Publisher: Provided by the NASA Astrophysics Data System
Permission: —



    • CHAPTER: Isolated Isothermal Sphere (DFB)
      • File:EmdenBookCover1907.jpg
      • File:EmdenIsothermalDerivation.jpg
      • File:EmdenTable14.jpg
    • CHAPTER: Pressure-Truncated Isothermal Sphere (DFB)
      • File:BonnorDerivation01.jpg
      • File:EbertDerivation01.jpg
      • File:Bonnor1956Fig1reproduced.jpg
      • File:EbertFig2Title.jpg
      • File:WhitworthFig1bFlipped.jpg
    • CHAPTER: Mass Upper Limits
      • Image:SC42excerpt.jpg
      • File:Stahler1983TitlePage0.png
      • File:Stahler_MRdiagram1.png
    • CHAPTER: BipolytropesDFB (Overview)
      • Image:CowlingRE_Milne1931.jpg
      • Image:SchonbergChandra1942.jpg
    • CHAPTER: BipolytropeDFB51
      • Image:SC42_Fig1.jpg
      • Image:HenrichChandra41b.jpg
      • Image:HenrichChandra41a.jpg
      • Image:EagletonFaulknerCannon98.jpg
      • File:Buchdahl1978.png
    • CHAPTER: BipolytropeDFB15
      • File:Table3CompleteCol1.png
      • File:Table3CompleteCol2.png
      • File:Table3CompleteCol3.png
      • File:Table3CompleteCol4.png
      • File:Table3CompleteCol5.png
      • File:Table3CompleteCol6.png
      • File:MF85Table1.png
    • CHAPTER: Isolated Polytropes (Virial)
      • File:Whitworth1981Eq5.jpg [used in another chapter as well]
Author(s): A. Whitworth
Title: Global Gravitational Stability for One-dimensional Polytropes
Reference: 1981, Monthly Notices of the Royal Astronomical Society, 195, 967-977
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
    • CHAPTER: Embedded Polytropes (Virial)
      • File:Whitworth1981Eq10.jpg
      • File:Whitworth1981Eq5.jpg [used in another chapter as well]
      • File:EnergyRadiusViewCombined5.png (1/4 of this image extracted from Whitworth's work)
Author(s): A. Whitworth
Title: Global Gravitational Stability for One-dimensional Polytropes
Reference: 1981, Monthly Notices of the Royal Astronomical Society, 195, 967-977
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System

See Also

Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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