User contributions for Joel2

23 December 2023

• 23:4623:46, 23 December 2023 diff hist −8 Appendix/References →Miller29
• 23:4623:46, 23 December 2023 diff hist +41 N Template:Miller29hereafter Created page with "Miller29" current
• 23:4623:46, 23 December 2023 diff hist +164 N 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)]" current
• 23:4523:45, 23 December 2023 diff hist +248 N 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" current
• 23:4423:44, 23 December 2023 diff hist +126 N Template:Miller29 Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1929MNRAS..90...59M/abstract Miller (1929)]" current
• 23:4023:40, 23 December 2023 diff hist +177 Contents →Spherically Symmetric Configurations
• 23:2623:26, 23 December 2023 diff hist 0 N File:CaseMfreeEnergy50.gif No edit summary current
• 23:2523:25, 23 December 2023 diff hist 0 N File:CaseMcompareTogether.png No edit summary current
• 23:2223:22, 23 December 2023 diff hist −52 SSC/FreeEnergy/Powerpoint →Case P Summary current
• 23:1923:19, 23 December 2023 diff hist −23 SSC/FreeEnergy/Powerpoint →Case P Summary
• 23:1923:19, 23 December 2023 diff hist 0 N File:MimicStahlerPlot3.png No edit summary current
• 23:1423:14, 23 December 2023 diff hist −23 SSC/FreeEnergy/Powerpoint →Virial Equilibrium
• 23:1323:13, 23 December 2023 diff hist 0 N File:PvsR simplest.png No edit summary current
• 23:1023:10, 23 December 2023 diff hist +180 Contents →Equilibrium Structures
• 23:0523:05, 23 December 2023 diff hist +96 Contents →Spherically Symmetric Configurations
• 22:5922:59, 23 December 2023 diff hist +60,870 N 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..."
• 22:5622:56, 23 December 2023 diff hist −145 SSC/Structure/Polytropes →Isolated Polytropes current
• 19:0319:03, 23 December 2023 diff hist −7 Appendix/References →Bonnor56
• 19:0319:03, 23 December 2023 diff hist +41 N Template:Bonnor56hereafter Created page with "Bonnor56" current
• 19:0219:02, 23 December 2023 diff hist +164 N 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)]" current
• 19:0119:01, 23 December 2023 diff hist +219 N 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" current
• 19:0019:00, 23 December 2023 diff hist +126 N Template:Bonnor56 Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1956MNRAS.116..351B/abstract Bonnor (1956)]" current
• 18:5218:52, 23 December 2023 diff hist 0 N File:Bonnor1956Fig1.jpg No edit summary current
• 18:4518:45, 23 December 2023 diff hist 0 N File:WhitworthLogFig1a norm.jpg No edit summary current
• 18:3318:33, 23 December 2023 diff hist +18,662 N SSC/Virial/Isothermal Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =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..." current
• 18:3218:32, 23 December 2023 diff hist +69 Contents →Equilibrium Structures
• 18:0418:04, 23 December 2023 diff hist +162 SSC/Virial/Polytropes/Pt1 →See Also
• 18:0418:04, 23 December 2023 diff hist +474 SSC/Virial/Polytropes/Pt2 No edit summary
• 18:0318:03, 23 December 2023 diff hist +462 SSC/Virial/Polytropes/Pt1 →Virial Equilibrium of Adiabatic Spheres
• 17:5817:58, 23 December 2023 diff hist +33,345 N SSC/Virial/Polytropes/Pt1 Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =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..."
• 17:5617:56, 23 December 2023 diff hist +91,559 N 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)==..."
• 17:4317:43, 23 December 2023 diff hist +244 Contents →Equilibrium Structures
• 17:3117:31, 23 December 2023 diff hist +24 Contents →Spherically Symmetric Configurations
• 17:2917:29, 23 December 2023 diff hist +67 Contents No edit summary
• 00:4100:41, 23 December 2023 diff hist +60 Contents →Equilibrium Structures
• 00:3900:39, 23 December 2023 diff hist +19,020 N 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..."
• 00:3800:38, 23 December 2023 diff hist +76 Contents →Equilibrium Structures
• 00:2500:25, 23 December 2023 diff hist +13 SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt2 →n = 5 Polytropic current
• 00:2400:24, 23 December 2023 diff hist −30 SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt1 No edit summary current
• 00:2200:22, 23 December 2023 diff hist −24 SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt2 →n=5 Polytropic
• 00:1900:19, 23 December 2023 diff hist +526 SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt1 →Virial Equilibrium of Adiabatic Spheres
• 00:1900:19, 23 December 2023 diff hist +532 SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt2 No edit summary
• 00:0900:09, 23 December 2023 diff hist +47,050 N 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)==..."
• 00:0800:08, 23 December 2023 diff hist +37,906 N SSC/Virial/PolytropesEmbedded/FirstEffortAgain/Pt1 Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =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..."
• 00:0400:04, 23 December 2023 diff hist +208 Contents →Equilibrium Structures

22 December 2023

• 23:4723:47, 22 December 2023 diff hist +110 Contents →Equilibrium Structures
• 23:4323:43, 22 December 2023 diff hist +5,470 N SSC/Structure/PowerLawDensity Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =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..." current
• 23:3223:32, 22 December 2023 diff hist 0 N File:FreeEnergySurface.png No edit summary current
• 23:3223:32, 22 December 2023 diff hist 0 N File:FreeEnergyFaceOn.png No edit summary current
• 23:3123:31, 22 December 2023 diff hist 0 N File:VirialEquilibria.png No edit summary current