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00:05, 24 December 2023 Joel2 talk contribs created page Template:Cowling41full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941MNRAS.101..367C/abstract T. G. Cowling (1941, MNRAS, Vol. 101, pp. 367 - 375)]")
00:04, 24 December 2023 Joel2 talk contribs created page Template:Cowling41figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1941MNRAS.101..367C/abstract T. G. Cowling (1941)]<br />''The Non-radial Oscillations of Polytropic Stars''<br />Monthly Notices of the Royal Astronomical Society, Vol. 101, pp. 367 - 375")
00:03, 24 December 2023 Joel2 talk contribs created page Template:Cowling41 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941MNRAS.101..367C/abstract Cowling (1941)]")
00:02, 24 December 2023 Joel2 talk contribs created page Template:HC41hereafter (Created page with "HC41")
00:01, 24 December 2023 Joel2 talk contribs created page Template:HC41full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941ApJ....94..525H/abstract L. R. Henrich & S. Chandrasekhar (1941, ApJ, Vol. 94, pp. 525 - 536)]")
00:00, 24 December 2023 Joel2 talk contribs created page Template:HC41figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1941ApJ....94..525H/abstract L. R. Henrich & S. Chandrasekhar (1941)]<br />''Stellar Models with Isothermal Cores''<br />The Astrophysical Journal, Vol. 94, pp. 525 - 536")
23:59, 23 December 2023 Joel2 talk contribs created page Template:HC41 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941ApJ....94..525H/abstract Henrich & Chandrasekhar (1941)]")
23:57, 23 December 2023 Joel2 talk contribs created page Template:Schwarzschild41hereafter (Created page with "Schwarzschild41")
23:56, 23 December 2023 Joel2 talk contribs created page Template:Schwarzschild41full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941ApJ....94..245S/abstract M. Schwarzschild (1941, ApJ, Vol. 94, pp. 245 - 252)]")
23:55, 23 December 2023 Joel2 talk contribs created page Template:Schwarzschild41figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1941ApJ....94..245S/abstract M. Schwarzschild (1941)]<br />''Overtone Pulsations for the Standard [Stellar] Model''<br />The Astrophysical Journal, Vol. 94, pp. 245 - 252")
23:54, 23 December 2023 Joel2 talk contribs created page Template:Schwarzschild41 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1941ApJ....94..245S/abstract Schwarzschild (1941)]")
23:51, 23 December 2023 Joel2 talk contribs created page Template:Sterne37hereafter (Created page with "Sterne37")
23:50, 23 December 2023 Joel2 talk contribs created page Template:Sterne37full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1937MNRAS..97..582S/abstract T. E. Sterne (1937, MNRAS, Vol. 97, pp. 582 - 593)]")
23:49, 23 December 2023 Joel2 talk contribs created page Template:Sterne37figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1937MNRAS..97..582S/abstract T. E. Sterne (1937)]<br />''Models of Radial Oscillation''<br />Monthly Notices of the Royal Astronomical Society, Vol. 97, pp. 582 - 593")
23:48, 23 December 2023 Joel2 talk contribs created page Template:Sterne37 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1937MNRAS..97..582S/abstract Sterne (1937)]")
23:46, 23 December 2023 Joel2 talk contribs created page Template:Miller29hereafter (Created page with "Miller29")
23:46, 23 December 2023 Joel2 talk contribs created page Template:Miller29full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1929MNRAS..90...59M/abstract J. C. P. Miller (1929, MNRAS, Vol. 90, pp. 59 - 64)]")
23:45, 23 December 2023 Joel2 talk contribs created page Template:Miller29figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1929MNRAS..90...59M/abstract J. C. P. Miller (1929)]<br />''The Effect of Distribution of Density on the Period of Pulsation of a Star''<br />Monthly Notices of the Royal Astronomical Society, Vol. 90, pp. 59 - 64")
23:44, 23 December 2023 Joel2 talk contribs created page Template:Miller29 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1929MNRAS..90...59M/abstract Miller (1929)]")
23:26, 23 December 2023 Joel2 talk contribs created page File:CaseMfreeEnergy50.gif
23:26, 23 December 2023 Joel2 talk contribs uploaded File:CaseMfreeEnergy50.gif
23:25, 23 December 2023 Joel2 talk contribs created page File:CaseMcompareTogether.png
23:25, 23 December 2023 Joel2 talk contribs uploaded File:CaseMcompareTogether.png
23:19, 23 December 2023 Joel2 talk contribs created page File:MimicStahlerPlot3.png
23:19, 23 December 2023 Joel2 talk contribs uploaded File:MimicStahlerPlot3.png
23:13, 23 December 2023 Joel2 talk contribs created page File:PvsR simplest.png
23:13, 23 December 2023 Joel2 talk contribs uploaded File:PvsR simplest.png
22:59, 23 December 2023 Joel2 talk contribs created page SSC/FreeEnergy/Powerpoint (Created page with "__FORCETOC__ =Supporting Derivations for Free-Energy PowerPoint Presentation= The derivations presented here are an extension of our accompanying free-energy synopsis. These additional details proved to be helpful while developing an overarching PowerPoint presentation. ==General Free-Energy Expression== We're considering a free-energy function of the following form: <div align="center"> <table border="0" ce...")
19:03, 23 December 2023 Joel2 talk contribs created page Template:Bonnor56hereafter (Created page with "Bonnor56")
19:02, 23 December 2023 Joel2 talk contribs created page Template:Bonnor56full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1956MNRAS.116..351B/abstract W. B. Bonnor (1956, MNRAS, Vol. 116, pp. 351 - 359)]")
19:01, 23 December 2023 Joel2 talk contribs created page Template:Bonnor56figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1956MNRAS.116..351B/abstract W. B. Bonnor (1956)]<br />''Boyle's Law and gravitational instability''<br />Monthly Notices of the Royal Astronomical Society<br />Vol. 116, pp. 351 - 359")
19:00, 23 December 2023 Joel2 talk contribs created page Template:Bonnor56 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1956MNRAS.116..351B/abstract Bonnor (1956)]")
18:52, 23 December 2023 Joel2 talk contribs created page File:Bonnor1956Fig1.jpg
18:52, 23 December 2023 Joel2 talk contribs uploaded File:Bonnor1956Fig1.jpg
18:45, 23 December 2023 Joel2 talk contribs created page File:WhitworthLogFig1a norm.jpg
18:45, 23 December 2023 Joel2 talk contribs uploaded File:WhitworthLogFig1a norm.jpg
18:33, 23 December 2023 Joel2 talk contribs created page SSC/Virial/Isothermal (Created page with "__FORCETOC__  =Virial Equilibrium of Isothermal Spheres= ==Review== In an introductory discussion of the virial equilibrium structure of spherically symmetric configurations — see especially the section titled, ''Energy Extrema'' — we deduced that a system's equilibrium radius, <math>~R_\mathrm{eq}</math>, measured relative to a reference length scale...")
17:58, 23 December 2023 Joel2 talk contribs created page SSC/Virial/Polytropes/Pt1 (Created page with "__FORCETOC__  =Virial Equilibrium of Adiabatic Spheres= Highlights of the rather detailed discussion presented below have been summarized in an accompanying chapter of this H_Book. ==Review== ===Adopted Normalizations=== In an introductory discussion of the virial equilibrium structure of spherically symmetric configuration...")
17:56, 23 December 2023 Joel2 talk contribs created page SSC/Virial/Polytropes/Pt2 (Created page with " ==Nonrotating Adiabatic Configuration Embedded in an External Medium== For a nonrotating configuration <math>~(C=J=0)</math> that is embedded in, and is influenced by the pressure <math>~P_e</math> of, an external medium, the statement of virial equilibrium is, <div align="center"> <math> 3 B\chi_\mathrm{eq}^{3 -3\gamma_g} -~3A\chi_\mathrm{eq}^{-1} -~ 3D\chi_\mathrm{eq}^3 = 0 \, . </math> </div> ====Solution Expressed in Terms of K and M (Whitworth's 1981 Relation)==...")
00:39, 23 December 2023 Joel2 talk contribs created page SSC/Structure/LimitingMasses (Created page with "__FORCETOC__ =Mass Upper Limits= Spherically symmetric, self-gravitating, equilibrium configurations can be constructed from gases exhibiting a wide variety of degrees of compressibility. When examining how the internal structure of such configurations varies with compressibility, or when examining the relative stability of such structures, it can be instructive to construct models using a polytropic equation of state because the degree of compressibility can be adjust...")
00:09, 23 December 2023 Joel2 talk contribs created page SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt2 (Created page with " ==Nonrotating Adiabatic Configuration Embedded in an External Medium== For a nonrotating configuration <math>~(C=J=0)</math> that is embedded in, and is influenced by the pressure <math>~P_e</math> of, an external medium, the statement of virial equilibrium is, <div align="center"> <math> 3 B\chi_\mathrm{eq}^{3 -3\gamma_g} -~3A\chi_\mathrm{eq}^{-1} -~ 3D\chi_\mathrm{eq}^3 = 0 \, . </math> </div> ====Solution Expressed in Terms of K and M (Whitworth's 1981 Relation)==...")
00:08, 23 December 2023 Joel2 talk contribs created page SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt1 (Created page with "__FORCETOC__  =Virial Equilibrium of Adiabatic Spheres= Highlights of the rather detailed discussion presented below have been summarized in an accompanying chapter of this H_Book. ==Review== ===Adopted Normalizations=== In an introductory discussion o...")
23:43, 22 December 2023 Joel2 talk contribs created page SSC/Structure/PowerLawDensity (Created page with "__FORCETOC__  =Power-Law Density Distributions= Here we begin with the same second-order, one-dimensional ODE that governs the structure of polytropic spheres, namely, the <div align="center"> <span id="LaneEmdenEquation"><font color="#770000">'''Lane-Emden Equation'''</font></span> {{ Math/EQ_SSLaneEmden01 }} </div> and examine whether or not this governing relation can be satisfied...")
23:32, 22 December 2023 Joel2 talk contribs created page File:FreeEnergySurface.png
23:32, 22 December 2023 Joel2 talk contribs uploaded File:FreeEnergySurface.png
23:32, 22 December 2023 Joel2 talk contribs created page File:FreeEnergyFaceOn.png
23:32, 22 December 2023 Joel2 talk contribs uploaded File:FreeEnergyFaceOn.png
23:31, 22 December 2023 Joel2 talk contribs created page File:VirialEquilibria.png
23:31, 22 December 2023 Joel2 talk contribs uploaded File:VirialEquilibria.png
23:20, 22 December 2023 Joel2 talk contribs created page File:Xi9.8461.png

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