Difference between revisions of "User:Tohline/Appendix/Images"

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<tr>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="3">WIKI CHAPTER:  [[User:Tohline/SR/Ptot_QuarticSolution#Determining_Temperature_from_Density_and_Pressure|Quartic Temperature Solution]]</td>
   <td align="left" colspan="3">WIKI CHAPTER:  [[User:Tohline/SR/Ptot_QuarticSolution#Determining_Temperature_from_Density_and_Pressure|Quartic Temperature Solution]] &nbsp; &nbsp; &hellip; &nbsp; &nbsp; Archived on MacHD2 on 2020/01/31 as: <font color="darkgreen">B001m.txt</font></td>
</tr>
</tr>
<tr>
<tr>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="2">WIKI CHAPTER:  [[User:Tohline/AxisymmetricConfigurations/SolutionStrategies#Simple_Rotation_Profile_and_Centrifugal_Potential|Simple Rotation Profiles]]</td>
   <td align="left" colspan="2">WIKI CHAPTER:  [[User:Tohline/AxisymmetricConfigurations/SolutionStrategies#Simple_Rotation_Profile_and_Centrifugal_Potential|Simple Rotation Profiles]] &nbsp; &nbsp; &hellip; &nbsp; &nbsp; Archived on MacHD2 on 2020/01/31 as: <font color="darkgreen">A004d.txt</font></td>
   <td align="right" colspan="1">[[User:Tohline/H_BookTiledMenu#Axisymmetric_Equilibrium_Structures|''Simple'' Rotation Profiles]] : TILED MENU icon(s)</td>
   <td align="right" colspan="1">[[User:Tohline/H_BookTiledMenu#Axisymmetric_Equilibrium_Structures|''Simple'' Rotation Profiles]] : TILED MENU icon(s)</td>
</tr>
</tr>
<tr>
<tr>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="1" width="5%">&nbsp;</td>
   <td align="left" colspan="2">WIKI CHAPTER:  [[User:Tohline/VE#Global_Energy_Considerations|Global Energy Considerations]]</td>
   <td align="left" colspan="2">WIKI CHAPTER:  [[User:Tohline/VE#Global_Energy_Considerations|Global Energy Considerations]] &nbsp; &nbsp; &hellip; &nbsp; &nbsp; Archived on MacHD2 on 2020/01/31 as: <font color="darkgreen">A000f.txt</font></td>
   <td align="right" colspan="1">[[User:Tohline/H_BookTiledMenu#Context|Global Energy Considerations]] : TILED MENU icon(s)</td>
   <td align="right" colspan="1">[[User:Tohline/H_BookTiledMenu#Context|Global Energy Considerations]] : TILED MENU icon(s)</td>
</tr>
</tr>

Revision as of 21:39, 31 January 2020

Images (to be) Displayed in this H_Book

This replaces an earlier Appendix/Images2016Layout wiki page.

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

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: Principal Governing Equations     …     Archived on MacHD2 on 2020/01/31 as: A000a.txt Principal Governing Equations (PGEs) : TILED MENU icon(s)
  WIKI CHAPTER: Continuity Equation     …     Archived on MacHD2 on 2020/01/31 as: A000b.txt Continuity : TILED MENU icon(s)
  WIKI CHAPTER: Euler Equation     …     Archived on MacHD2 on 2020/01/31 as: A000c.txt Euler : TILED MENU icon(s)
  WIKI CHAPTER: First Law of Thermodynamics     …     Archived on MacHD2 on 2020/01/31 as: A000d.txt 1st Law of Thermodynamics : TILED MENU icon(s)
  WIKI CHAPTER: Origin of the Poisson Equation     …     Archived on MacHD2 on 2020/01/31 as: A000e.txt Poisson : TILED MENU icon(s)
  WIKI CHAPTER: Rotating Reference Frame     …     Archived on MacHD2 on 2020/01/31 as: C000c.txt
  WIKI CHAPTER: Hybrid Advection Scheme (Preface)     …     Archived on MacHD2 on 2020/01/31 as: E000b.txt
  WIKI CHAPTER: Hybrid Advection Scheme (Background circa 2000)     …     Archived on MacHD2 on 2020/01/31 as: E000a.txt
  WIKI CHAPTER: Jay Call's Hybrid Scheme     …     Archived on MacHD2 on 2020/01/31 as: B000t.txt
🔴

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     …     Archived on MacHD2 on 2020/01/31 as: A000g.txt Equation of State (EOS) : TILED MENU icon(s)
  WIKI CHAPTER: Ideal Gas Equation of State     …     Archived on MacHD2 on 2020/01/31 as: A000h.txt Ideal Gas : TILED MENU icon(s)
  WIKI CHAPTER: Total Pressure     …     Archived on MacHD2 on 2020/01/31 as: A000i.txt Total Pressure : TILED MENU icon(s)
  WIKI CHAPTER: Quartic Temperature Solution     …     Archived on MacHD2 on 2020/01/31 as: B001m.txt
  WIKI CHAPTER: Simple Rotation Profiles     …     Archived on MacHD2 on 2020/01/31 as: A004d.txt Simple Rotation Profiles : TILED MENU icon(s)
  WIKI CHAPTER: Global Energy Considerations     …     Archived on MacHD2 on 2020/01/31 as: A000f.txt Global Energy Considerations : TILED MENU icon(s)
 

SECTION:  Spherically Symmetric Configurations

  WIKI CHAPTER: Introduction One-Dimensional PGEs : TILED MENU icon(s)
  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 (DFB) Models

  WIKI CHAPTER: DFB Introductory Summary
🔵

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

Image:FreeNRGpressureRadiusIsothermal.png : TILED MENU icon(s)
 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: DFB Introduction (Part I)
  WIKI CHAPTER: DFB Introduction (Part II) Hydrostatic Balance Equation || Solution Strategies : TILED MENU icon(s)

Chapter Group Isolated

  WIKI CHAPTER: Uniform-Density Sphere … Isolated (DFB)
  WIKI CHAPTER: Isothermal Sphere … Isolated (DFB) Isothermal Sphere || via Direct Numerical Integration : TILED MENU icon(s)
🔵

Title:EmdenBookCover1907.jpg;   Eqns:EmdenIsothermalDerivation.jpg;   Table:EmdenTable14.jpg

 
Author(s): Robert Emden
Book Title: Gaskugeln
Copyright: None active; originally 1907
Publisher: Digitized by Google (books.google.com); originally, Druck und Verlag von B. G. Teubner: Berlin
🔵

Image:IsothermalDensityPlot.jpg;   Image:EmdenMassProfile.jpg;   Image:PlotMeanToLocalDensity.jpg

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: Polytropes … Isolated (DFB)
Isolated Polytropes || Known Analytic Solutions || via Direct Numerical Integration || via Self-Consistent Field (SCF) Technique : TILED MENU icon(s)
🔵

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; [This pair of equations appear in an "equation table", retyped as LaTeX equations.]

 
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; [This pair of equations appear in an "equation table", retyped as LaTeX equations.]

 
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: Zero-temperature White Dwarf …Overview Zero-Temperature White Dwarf || Chandrasekhar Limiting Mass (1935) : TILED MENU icon(s)
🔵

Eqn:ST83Eq3_3_11.png;   Eqn:ST83Eq3_3_12.png;   Eqn:ST83Eq2_3_23.png; [All 3 appear in an "equation table", retyped as LaTeX equations.]

 
Author(s): S. L. Shapiro & S. A. Teukolsky
Book Title: Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects
Copyright: 1983
Publisher: New York: John Wiley & Sons
Permission:
  WIKI CHAPTER: Power-law Density Distribution …Overview
  WIKI CHAPTER: Other Analytically Definable Models

Chapter Group Pressure-Truncated

  WIKI CHAPTER: Uniform-Density Sphere … Pressure-Truncated (DFB)
  WIKI CHAPTER: Isothermal Sphere … Pressure-Truncated (DFB);   Familiarly, a Bonnor-Ebert Sphere Bonnor-Ebert (Isothermal) Spheres (1955 - 56) : TILED MENU icon(s)
🔴

Eqns:EbertDerivation01.jpg;   Image:EbertFig2Title.jpg; [The first of these images appears in an "equation table", retyped as text & LaTeX equations.]

 
Author(s): R. Ebert
Title: Über die Verdichtung von HI-Gebieten
Reference: 1955, Zeitschrift für Astrophysik, 37, 217-232
Copyright:
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔵

Eqns:BonnorDerivation01.jpg;   Image:Bonnor1956Fig1reproduced.jpg; [The first of these images appears in an "equation table", retyped as text & LaTeX equations.]

 
Author(s): W. B. Bonnor
Title: Boyle's Law and Gravitational Instability
Reference: 1956, Monthly Notices of the Royal Astronomical Society, 116, 351-359
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔵

Image:WhitworthFig1bCopy.jpg;   Image:WhitworthFig1bFlippedClipped.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:
🔵

Image:Bonnor1956Fig1EmdenDataCleaner.png;   Image:EbertFig2UsingEmdenData2.jpg;   Image:Bonnor1956DPDVplot.jpg;   Image:WhitworthFig1bUsingEmdenData.png

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: Polytropes … Pressure-Truncated (DFB) Polytropes : TILED MENU icon(s)
🔴

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 SCHEMATIC (appears twice)

 
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;   Image:DFBsequenceB.png

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: Marginally Unstable Pressure-Truncated Gas Clouds  Equilibrium Sequence Turning-Points : TILED MENU icon(s)
🔵

Image:IsothermalTrunc4.png;   Image:IsothermalTrunc12.png;   Image:IsothermalTrunc11.png;
Image:Yabushita1975Combined.png;   Image:MassVsRadiusCombined02.png;   Image:YabushitaMontageB.png;

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

Chapter Group Bipolytropes

  WIKI CHAPTER: BiPolytropes (also referred to as Composite Polytropes) … Overview
🔴

Text:CowlingRE_Milne1931.jpg

 
Author(s): T. G. Cowling
Title: Note on the Fitting of Polytropic Models in the Theory of Stellar Structure
Reference: 1931, Monthly Notices of the Royal Astronomical Society, 91, 472-478
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Text:SchonbergChandra1942.jpg

 
Author(s): M. Schönberg & S. Chandrasekhar
Title: On the Evolution of the Main-Sequence Stars
Reference: 1942, The Astrophysical Journal, 96, 161-172
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
  WIKI CHAPTER: Zero-Zero Bipolytrope (DFB)
🔵

Image:BipolytropeDynamicalStability2.png;

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: Five-One Bipolytrope (DFB)
🔵

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

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

Image:SC42_Fig1.jpg

 
Author(s): M. Schönberg & S. Chandrasekhar
Title: On the Evolution of the Main-Sequence Stars
Reference: 1942, The Astrophysical Journal, 96, 161-172
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Image:HenrichChandra41b.jpg   Text:HenrichChandra41a.jpg

 
Author(s): L. R. Henrich & S. Chandrasekhar
Title: Stellar Models with Isothermal Cores
Reference: 1941, The Astrophysical Journal, 94, 525-536
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Text:EagletonFaulknerCannon98.jpg

 
Author(s): P. P. Eggleton, J. Faulkner, & R. C. Cannon
Title: A Small Contribution to the Giant Problem
Reference: 1998, Monthly Notices of the Royal Astronomical Society, 298, 831-834
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Eqn:Buchdahl1978.png

 
Author(s): H. A. BUCHDAHL
Title: Remark on the Polytrope of Index 5
Reference: 1978, Australian Journal of Physics, 31, 115-116
Copyright: CSIRO Publishing
Publisher: Provided by the NASA Astrophysics Data System
Permission:
  WIKI CHAPTER: One-Five Bipolytrope (DFB)
🔵

Image:MurphyF2roots05.png;   Image:InterfaceMap02.png;   Image:MurphyPhysicallyViableTable3d.png;
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;
Table:MF85Table1byTohline02.png;

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

TableColumn:Table3CompleteCol1.png;   TableColumn:Table3CompleteCol2.png;   TableColumn:Table3CompleteCol3.png;
TableColumn:Table3CompleteCol4.png;   TableColumn:Table3CompleteCol5.png;   TableColumn:Table3CompleteCol6.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:
🔴

Table:MF85Table1.png

 
Author(s): J. O. Murphy & R. Fiedler
Title: Physical Structure of a Sequence of Two Zone Polytropic Stellar Models
Reference: 1985, Proceedings of the Astronomical Society of Australia, 6, 219-222
Copyright: Astronomical Society of Australia
Publisher: Provided by the NASA Astrophysics Data System
Permission:
  WIKI CHAPTER: The Milne Bipolytrope (DFB)
🔴

Eqns:CoreRelations01.png;   Eqns:EnvelopeRelations01.png

 
Author(s): E. A. Milne
Title: The Analysis of Stellar Structure
Reference: 1930, Monthly Notices of the Royal Astronomical Society, 91, 4-55
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:


 

Virial Equilibrium Configurations

  WIKI CHAPTER: Introduction Free-Energy of Spherical Systems || Scalar Virial Theorem : TILED MENU icon(s)
🔵

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 Structural Form Factors : TILED MENU icon(s)
🔴

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:


  WIKI CHAPTER: Virial Equilibrium of Isolated Polytropic Spheres
🔴

Eqns:Whitworth1981Eq5.jpg (repeat)

 
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:
🔵

Image:AdabaticBoundedSpheres_Virial.jpg;

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


  WIKI CHAPTER: Virial Equilibrium of Isothermal Spheres
🔴

TxtEqns:Bonnor1951Eq1.2.jpg;

 
Author(s): W. B. Bonnor
Title: Boyle's Law and Gravitational Instability
Reference: 1956, Monthly Notices of the Royal Astronomical Society, 116, 351-
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Image:WhitworthFig1aCopy.jpg

 
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:
🔵

Image:Bonnor1956Fig1.jpg;   Image:WhitworthLogFig1a_norm.jpg;

 
Created by the author (J. E. Tohline) for inclusion in this H_Book, The Structure, Stability & Dynamics of Self-Gravitating Fluids.
  WIKI CHAPTER: Virial Equilibrium of Embedded Polytropic Spheres FreeNRGpressureRadiusIsothermal.png : TILED MENU icon(s)
🔴

Eqns:Whitworth1981Eq10.jpg;   Eqns:Whitworth1981Eq5.jpg (repeat)   Image:EnergyRadiusViewBottom6.png (half of this image is Whitworth figure);

 
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:
🔵

Image:FreeNRGmassRadiusN5.png;   Image:FreeNRGpressureRadiusIsothermal.png;
Image:EnergyRadiusViewTop5.png;   Animation:FEmovie02.gif;   Image:EnergyRadiusViewBottom6.png (half of this image is Whitworth figure);
… or …     Image:EnergyRadiusViewCombined5.png;

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


  WIKI CHAPTER: Style-Sheet Synopsis Style-Sheet Synopsis : TILED MENU icon(s)
🔵

Image:SSC_SynopsisImage2.png

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

Summaries

  WIKI CHAPTER: Limiting Masses … Summary
🔴

Text:SC42excerpt.jpg

 
Author(s): M. Schönberg & S. Chandrasekhar
Title: On the Evolution of the Main-Sequence Stars
Reference: 1942, The Astrophysical Journal, 96, 161-172
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Title:Stahler1983TitlePage0.png (repeat);   Image:Stahler_MRdiagram1.png SCHEMATIC (repeat)

 
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:MassRadiusVirialLabeled.png;   Image:Stahler1983Comparison.png (repeat);   Image:PlotSequencesBest02.png (repeat)

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


  WIKI CHAPTER: Turning Points Turning-Points (Broader Context) : TILED MENU icon(s)
🔴

Image:EbertFig2Title.jpg (repeat)

 
Author(s): R. Ebert
Title: Über die Verdichtung von HI-Gebieten
Reference: 1955, Zeitschrift für Astrophysik, 37, 217-232
Copyright:
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Image:Bonnor1956Fig1reproduced.jpg (repeat)

 
Author(s): W. B. Bonnor
Title: Boyle's Law and Gravitational Instability
Reference: 1956, Monthly Notices of the Royal Astronomical Society, 116, 351-
Copyright: Royal Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Image:Stahler_MRdiagram1.png SCHEMATIC (repeat);

 
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:HenrichChandra41b.jpg (repeat)

 
Author(s): L. R. Henrich & S. Chandrasekhar
Title: Stellar Models with Isothermal Cores
Reference: 1941, The Astrophysical Journal, 94, 525-536
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
🔴

Image:SC42_Fig1.jpg (repeat)   Text:SC42excerpt.jpg (repeat)

 
Author(s): M. Schönberg & S. Chandrasekhar
Title: On the Evolution of the Main-Sequence Stars
Reference: 1942, The Astrophysical Journal, 96, 161-172
Copyright: American Astronomical Society
Publisher: Provided by the NASA Astrophysics Data System
Permission:
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Text:DarwinPreface.png;   Eqns:Darwin1906Eq1b.png;   Text:DarwinText01.png;   Text:DarwinText02.png;

 
Author(s): G. H. Darwin
Title: IV.  On the Figure and Stability of a Liquid Satellite
Reference: 1906, Philosophical Transactions of the Royal Society A, 268, 165-184
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Author(s): D. Lai, F. A. Rasio & S. L. Shapiro
Title: Ellipsoidal Figures of Equilibrium — Compressible Models
Reference: 1993, The Astrophysical Journal Supplement Series, 88, 205-252
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Image:LRS93BinarySequence.png;

 
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Title: Hydrodynamic Instability and Coalescence of Close Binary Systems
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Author(s): K. C. B. New & J. E. Tohline
Title: The Relative Stability Against Merger of Clos, compact Binaries
Reference: 1997, The Astrophysical Journal, 490, 311-327
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Image:EvolutionArrows01.png;   Image:CaseMcompareTogether.png;   Image:MimicStahlerPlot3.png;   Image:TruncatedPolytropeMvsR2.png;
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See Also

Whitworth's (1981) Isothermal Free-Energy Surface

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