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• 15:58, 14 December 2023 Joel2 talk contribs created page File:3DFreeEnergy.jpg
• 15:58, 14 December 2023 Joel2 talk contribs uploaded File:3DFreeEnergy.jpg
• 15:50, 14 December 2023 Joel2 talk contribs created page SSC/BipolytropeGeneralizationVersion2 (Created page with "__FORCETOC__ =Bipolytrope Generalization= ==Setup== In a more general context, we have discussed a Gibbs-like free-energy function of the generic form, <div align="center"> <math> \mathfrak{G} = W_\mathrm{grav} + \mathfrak{S}_\mathrm{therm} + T_\mathrm{kin} + P_e V + \cdots </math> </div> Here we are interested in examining the free energy of isolated, nonrotating, spherically symmetric bipolytropes, so we can drop the term tha...")
• 15:33, 14 December 2023 Joel2 talk contribs created page SSCpt1/Virial (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Virial Equilibrium of Spherically Symmetric Configurations= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#9390DB;" | <font size="-1"><b>Free-Energy<br />of<br />Spherical<br />Systems</b></font> |} ==Free Energy Expression== ===Rev...")
• 15:26, 14 December 2023 Joel2 talk contribs created page Template:Whitworth81hereafter (Created page with "Whitworth81")
• 15:25, 14 December 2023 Joel2 talk contribs created page Template:Whitworth81full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1981MNRAS.195..967W/abstract A. Whitworth (1981, MNRAS, Vol. 195, pp. 967 - 977)]")
• 15:24, 14 December 2023 Joel2 talk contribs created page Template:Whitworth81figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1981MNRAS.195..967W/abstract A. Whitworth (1981)]<br />''Global Gravitational Stability for One-Dimensional Polytropes''<br />Monthly Notices of the Royal Astronomical Society, Vol. 195, pp. 967 - 977")
• 15:23, 14 December 2023 Joel2 talk contribs created page Template:Whitworth81 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1981MNRAS.195..967W/abstract Whitworth (1981)]")
• 15:21, 14 December 2023 Joel2 talk contribs created page Template:Stahler83hereafter (Created page with "SWS")
• 15:20, 14 December 2023 Joel2 talk contribs created page Template:Stahler83full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1983ApJ...268..165S/abstract S. W. Stahler (1983, ApJ, Vol. 268, pp. 165 - 184)]")
• 15:19, 14 December 2023 Joel2 talk contribs created page Template:Stahler83figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1983ApJ...268..165S/abstract S. W. Stahler (1983)]<br />''The Equilibria of Rotating Isothermal Clouds.''<br />''II. Structure and Dynamical Stability''<br />The Astrophysical Journal, Vol. 268, pp. 165 - 184")
• 15:18, 14 December 2023 Joel2 talk contribs created page Template:Stahler83 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1983ApJ...268..165S/abstract Stahler (1983)]")
• 15:14, 14 December 2023 Joel2 talk contribs created page Template:Weber76full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1976ApJ...208..113W/abstract S. V. Weber (1976, ApJ, Vol. 208, pp. 113 - 126)]")
• 15:13, 14 December 2023 Joel2 talk contribs created page Template:Weber76figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1976ApJ...208..113W/abstract S. V. Weber (1976)]<br />''Oscillation and Collapse of Interstellar Clouds''<br />The Astrophysical Journal, Vol. 208, pp. 113 - 126")
• 15:12, 14 December 2023 Joel2 talk contribs created page Template:Weber76 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1976ApJ...208..113W/abstract Weber (1976)]")
• 15:08, 14 December 2023 Joel2 talk contribs created page Template:MS56full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1956MNRAS.116..503M/abstract L. Mestel & L. Spitzer, Jr. (1956, MNRAS, Vol. 116, pp. 503 - 514)]")
• 15:07, 14 December 2023 Joel2 talk contribs created page Template:MS56figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1956MNRAS.116..503M/abstract L. Mestel & L. Spitzer, Jr. (1956)]<br />''Star Formation in Magnetic Dust Clouds''<br />Monthly Notices of the Royal Astronomical Society, Vol. 116, pp. 503 - 514")
• 15:07, 14 December 2023 Joel2 talk contribs created page Template:MS56 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1956MNRAS.116..503M/abstract Mestel & Spitzer (1956)]")
• 15:04, 14 December 2023 Joel2 talk contribs created page Template:CF53full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1953ApJ...118..116C/abstract S. Chandrasekhar & E. Fermi (1953, ApJ, Vol. 118, pp. 116 - 141)]")
• 15:03, 14 December 2023 Joel2 talk contribs created page Template:CF53figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1953ApJ...118..116C/abstract S. Chandrasekhar & E. Fermi (1953)]<br />''Problems of Gravitational Stability in the Presence of a Magnetic Field''<br />The Astrophysical Journal, Vol. 118, pp. 116 - 141")
• 15:03, 14 December 2023 Joel2 talk contribs created page Template:CF53 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1953ApJ...118..116C/abstract Chandrasekhar & Fermi (1953)]")
• 14:58, 14 December 2023 Joel2 talk contribs created page Template:Collins78full (Created page with "📚 [http://ads.harvard.edu/books/1978vtsa.book/ George W. Collins, II (1978, The Virial Theorem in Stellar Astrophysics, Pachart Publishing House)]")
• 14:57, 14 December 2023 Joel2 talk contribs created page Template:Collins78figure (Created page with "[http://ads.harvard.edu/books/1978vtsa.book/ George W. Collins, II (1978)]<br />''The Virial Theorem in Stellar Astrophysics''<br />© Pachart Publishing House")
• 14:56, 14 December 2023 Joel2 talk contribs created page Template:Collins78 (Created page with "📚 [http://ads.harvard.edu/books/1978vtsa.book/ Collins (1978)]")
• 01:41, 14 December 2023 Joel2 talk contribs created page SphericallySymmetricConfigurations/IndexFreeEnergy (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Index to Free-Energy and Virial Analyses= I have put this index together in an effort to help me, first find, then keep track of all chapters that discuss the use of a free-energy expression and/or virial equilibrium constructs to analyze the structure and stability of spherically symmetric configurations. First, let's explain what the topic is of each chapter t...")
• 01:34, 14 December 2023 Joel2 talk contribs created page Template:Eddington18full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1918MNRAS..79R...2E/abstract A. S. Eddington (1918, MNRAS, Vol. 79, pp. 2 - 22)]")
• 01:33, 14 December 2023 Joel2 talk contribs created page Template:Eddington18figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1918MNRAS..79R...2E/abstract A. S. Eddington (1918)]<br />''On the Pulsations of a Gaseous Star and the Problem of the Cepheid Variables.   Part I.''<br />Monthly Notices of the Royal Astronomical Society, Vol. 79, pp. 2 - 22")
• 01:32, 14 December 2023 Joel2 talk contribs created page Template:Eddington18 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1918MNRAS..79R...2E/abstract Eddington (1918)]")
• 01:29, 14 December 2023 Joel2 talk contribs created page Template:FWW86hereafter (Created page with "FWW86")
• 01:28, 14 December 2023 Joel2 talk contribs created page Template:FWW86full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1986ApJ...307..675F/abstract G. M. Fuller, S. E. Woosley, & T. A. Weaver (1986, ApJ, Vol. 307, pp. 675 - 686)]")
• 01:27, 14 December 2023 Joel2 talk contribs created page Template:FWW86figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1986ApJ...307..675F/abstract G. M. Fuller, S. E. Woosley, & T. A. Weaver (1986)]<br />''The Evolution of Radiation-Dominated Stars.   I. Nonrotating Supermassive Stars''<br />The Astrophysical Journal, Vol. 307, pp. 675 - 686")
• 01:27, 14 December 2023 Joel2 talk contribs created page Template:FWW86 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1986ApJ...307..675F/abstract Fuller, Woosley, & Weaver (1986)]")
• 01:24, 14 December 2023 Joel2 talk contribs created page File:CommentButton02.png
• 01:24, 14 December 2023 Joel2 talk contribs uploaded File:CommentButton02.png
• 01:19, 14 December 2023 Joel2 talk contribs created page SR/Ptot QuarticSolution (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Determining Temperature from Density and Pressure= As has been derived elsewhere, the normalized total pressure can be written as, <div align="center"> {{ Template:Math/EQ_PressureTotal01 }} </div> To solve this algebraic equation for the normalized temperature <math>T/T_e</math>, given values of the normalized total pressur...")
• 01:14, 14 December 2023 Joel2 talk contribs created page Template:LP41full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941ApJ....94..124L/abstract P. Ledoux & C. L. Pekeris (1941, ApJ, Vol. 94, pp. 124 - 135)]")
• 01:13, 14 December 2023 Joel2 talk contribs created page Template:LP41figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1941ApJ....94..124L/abstract P. Ledoux & C. L. Pekeris (1941)]<br />''Radial Pulsations of Stars''<br />The Astrophysical Journal, Vol. 94, pp. 124 - 135")
• 01:11, 14 December 2023 Joel2 talk contribs created page Template:LP41 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941ApJ....94..124L/abstract Ledoux & Pekeris (1941)]")
• 01:08, 14 December 2023 Joel2 talk contribs created page Template:BAC84hereafter (Created page with "BAC84")
• 01:07, 14 December 2023 Joel2 talk contribs created page Template:BAC84full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1984ApJ...280..825B/abstract J. R. Bond, W. D. Arnett, & B. J. Carr (1984, ApJ, Vol. 280, pp. 825 - 847)]")
• 01:07, 14 December 2023 Joel2 talk contribs created page Template:BAC84figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1984ApJ...280..825B/abstract J. R. Bond, W. D. Arnett, & B. J. Carr (1984)]<br />''The Evolution and Fate of Very Massive Objects''<br />The Astrophysical Journal, Vol. 280, May 15, pp. 825 - 847")
• 01:06, 14 December 2023 Joel2 talk contribs created page Template:BAC84 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1984ApJ...280..825B/abstract Bond, Arnett, & Carr (1984)]")
• 01:03, 14 December 2023 Joel2 talk contribs created page Template:Milne30full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1930MNRAS..91....4M/abstract E. A. Milne (1930, MNRAS, Vol. 91, pp. 4 - 55)]")
• 01:03, 14 December 2023 Joel2 talk contribs created page Template:Milne30figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1930MNRAS..91....4M/abstract E. A. Milne (1930)]<br />''The Analysis of Stellar Structure ''<br />Monthly Notices of the Royal Astronomical Society, Vol. 91, pp. 4 - 55")
• 01:02, 14 December 2023 Joel2 talk contribs created page Template:Milne30 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1930MNRAS..91....4M/abstract Milne (1930)]")
• 00:50, 14 December 2023 Joel2 talk contribs created page Template:Chandrasekhar35hereafter (Created page with "Chandrasekhar35")
• 00:49, 14 December 2023 Joel2 talk contribs created page Template:Chandrasekhar35full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1935MNRAS..95..207C/abstract S. Chandrasekhar (1935, MNRAS, Vol. 95, pp. 207 - 225)]")
• 00:49, 14 December 2023 Joel2 talk contribs created page Template:Chandrasekhar35figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1935MNRAS..95..207C/abstract S. Chandrasekhar (1935)]<br />''The Highly Collapsed Configurations of a Stellar Mass. (Second Paper)''<br />Monthly Notices of the Royal Astronomical Society, Vol. 95, pp. 207 - 225")
• 00:48, 14 December 2023 Joel2 talk contribs created page Template:Chandrasekhar35 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1935MNRAS..95..207C/abstract Chandrasekhar (1935)]")
• 00:39, 14 December 2023 Joel2 talk contribs created page Template:ZEUS-MP2006full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/2006ApJS..165..188H/abstract J. C. Hayes, M. L. Norman, R. A. Fiedler, J. O. Bordner, P. S. Li, S. E. Clark, A. ud-Doula, & M.-M. Mac Low (2006, ApJ Suppl., Vol. 165, Issue 1, pp. 188 - 228)]")