User contributions for Joel2

22 December 2023

• 23:2823:28, 22 December 2023 diff hist +61 SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt3 →Part I: Physical Significance of the Two Curves current
• 23:2323:23, 22 December 2023 diff hist +102 SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt3 →Part I: Physical Significance of the Two Curves
• 23:2023:20, 22 December 2023 diff hist 0 N File:Xi9.8461.png No edit summary current
• 23:1923:19, 22 December 2023 diff hist 0 N File:Xi3.850652.png No edit summary current
• 23:1923:19, 22 December 2023 diff hist 0 N File:Xi3.5.png No edit summary current
• 23:1823:18, 22 December 2023 diff hist 0 N File:Xi3.0.png No edit summary current
• 23:1823:18, 22 December 2023 diff hist 0 N File:Xi2.0.png No edit summary current
• 23:1823:18, 22 December 2023 diff hist 0 N File:Xi1.26419.png No edit summary current
• 22:4322:43, 22 December 2023 diff hist +51 SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt3 →Part I: Physical Significance of the Two Curves
• 22:4322:43, 22 December 2023 diff hist 0 N File:CorrectedStahlerN5.png No edit summary current
• 22:1322:13, 22 December 2023 diff hist 0 N File:AdabaticBoundedSpheres Virial.jpg No edit summary current
• 22:0522:05, 22 December 2023 diff hist −10 SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt1 →Physical Meaning of Parameter \eta_\mathrm{ad}
• 22:0422:04, 22 December 2023 diff hist 0 Contents →Equilibrium Structures
• 22:0322:03, 22 December 2023 diff hist +708 SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt3 No edit summary
• 22:0222:02, 22 December 2023 diff hist +724 SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt2 No edit summary
• 22:0022:00, 22 December 2023 diff hist +671 SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt1 →Virial Equilibrium of Adiabatic Spheres (Summary)
• 21:5021:50, 22 December 2023 diff hist +97,366 N SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt2 Created page with " ==Mass-Radius Relation== Up to this point in our discussion, we have focused on an analysis of the pressure-radius relationship that defines the equilibrium configurations of pressure-truncated polytropes. In effect, we have viewed the problem through the same lens as did {{ Horedt70full }} and, separately, {{ Whitworth81full }}, defining variable normalizations in terms of the polytropic constant, <math>K</math>, and the configuration mass, <math>M_\mathrm{tot}</math>..."
• 21:4921:49, 22 December 2023 diff hist +38,398 N SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt3 Created page with " ==Discussion== A spherically symmetric, self-gravitating gas cloud whose effective adiabatic exponent is <math>\gamma < 4/3</math> — equivalently, <math>n > 3</math> — cannot exist in a dynamically stable equilibrium state, in isolation. Such clouds can be stabilized, however, if they are embedded in a hot, tenuous external medium and effectively confined by an external pressure, <math>~P_e</math>. The pressure-truncated, <math>n = 5 (\gamma = 6/5)</math>..."
• 21:4321:43, 22 December 2023 diff hist +32,853 N SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt1 Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Virial Equilibrium of Adiabatic Spheres (Summary)= The summary presented here has been drawn from our accompanying detailed analysis of the structure of pressure-truncated polytropes. ==Detailed Force-Balanced Solution== As has been SSC/Structure/PolytropesEmbedded#Embedded_Polytropic_Spheres|discussed in de..."
• 21:3521:35, 22 December 2023 diff hist +303 Contents →Spherically Symmetric Configurations
• 21:2821:28, 22 December 2023 diff hist +99 Contents →Spherically Symmetric Configurations
• 21:2021:20, 22 December 2023 diff hist +457 Contents →Equilibrium Structures
• 19:4419:44, 22 December 2023 diff hist +4 SSC/Structure/Polytropes/VirialSummary →Basic Relation
• 19:3119:31, 22 December 2023 diff hist +59,158 N SSC/FreeEnergy/PolytropesEmbedded/Pt3C Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I:   Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II:  Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l..." current
• 19:2819:28, 22 December 2023 diff hist +44,324 N SSC/FreeEnergy/PolytropesEmbedded/Pt3B Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I:   Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II:  Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l..." current
• 19:2619:26, 22 December 2023 diff hist +50,442 N SSC/FreeEnergy/PolytropesEmbedded/Pt3A Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I:   Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II:  Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l..." current
• 19:2519:25, 22 December 2023 diff hist −1 SSC/FreeEnergy/PolytropesEmbedded →Chapter Divisions current
• 19:2319:23, 22 December 2023 diff hist +55,714 N SSC/FreeEnergy/PolytropesEmbedded/Pt2 Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I:   Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II:  Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l..." current
• 19:2019:20, 22 December 2023 diff hist +88,811 N SSC/FreeEnergy/PolytropesEmbedded/Pt1 Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I:   Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II:  Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l..." current
• 18:5618:56, 22 December 2023 diff hist +460 SSC/FreeEnergy/PolytropesEmbedded →Free Energy of Embedded Polytropes
• 18:3318:33, 22 December 2023 diff hist −86,749 SSC/FreeEnergy/PolytropesEmbedded Replaced content with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" bgcolor="lightblue" width="33%"><br />Part I:   Free-Energy Synopsis   </td> <td align="center" bgcolor="lightblue" width="33%"><br />Part II:  Free-Energy of Truncated Polytropes   </td> <td align="center" bgcolor="lightblue">..." Tag: Replaced
• 18:1718:17, 22 December 2023 diff hist +88,246 N SSC/FreeEnergy/PolytropesEmbedded Created page with "=Chapter Divisions= In <font color="red">October 2023</font>, this very long chapter was subdivided in order to more effectively accommodate edits. Here is a list of the resulting set of shorter chapters: <ol> <li>Free-Energy Synopsis</li> <li>Free-Energy of Truncated Polytropes</li> <li>Free-Energy of BiPolytropes <ul> <li>SSC/FreeEnergy/PolytropesEmbedded/Pt3A|Focus on Five..."
• 18:0618:06, 22 December 2023 diff hist +21,504 N SSC/Structure/Polytropes/VirialSummary Created page with "__FORCETOC__ =Virial Equilibrium of Pressure-Truncated Polytropes= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:white;" | <font size="-1"><b>Virial Equilibrium<br />of<br />Pressure-Truncated<br />Polytropes</b></font> |} Here we will draw heavily from: [1] An accompanying SSC/FreeEnergy/PolytropesEmbedded#..."

18 December 2023

• 20:5320:53, 18 December 2023 diff hist +34 Contents →Context
• 20:5120:51, 18 December 2023 diff hist −34 Appendix/Ramblings/Radiation/RadHydro →Traditional Stellar Structure Equations current
• 20:5020:50, 18 December 2023 diff hist −26 Appendix/Ramblings/Radiation/RadHydro →Related Discussions
• 20:4920:49, 18 December 2023 diff hist −8 Appendix/Ramblings/Radiation/RadHydro →Optically Thick Regime
• 20:4720:47, 18 December 2023 diff hist −75 Appendix/Ramblings/Radiation/RadHydro →Thermodynamic Equilibrium
• 20:4620:46, 18 December 2023 diff hist −75 Appendix/Ramblings/Radiation/RadHydro →Energy-Density of Radiation Field
• 20:4520:45, 18 December 2023 diff hist −235 Appendix/Ramblings/Radiation/RadHydro →Hayes et al. (2006) — But Ignoring the Effects of Magnetic Fields
• 20:3820:38, 18 December 2023 diff hist +16,759 N Appendix/Ramblings/Radiation/RadHydro Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Radiation-Hydrodynamics= ==Governing Equations== ===Hayes et al. (2006) — But Ignoring the Effects of Magnetic Fields=== First, referencing §2 of [http://adsabs.harvard.edu/abs/2006ApJS..165..188H J. C. Hayes et al. (2006, ApJS, 165, 188 - 228)] — alternatively see §2.1 of [http://adsabs.harvard.edu/abs/2012ApJS..199...35M D. C. Marcello & J. E. Tohline (2012, ApJS, 199, id. 35, 29 pp)] &#821..."
• 20:1420:14, 18 December 2023 diff hist 0 N File:YabushitaMontageB.png No edit summary current
• 20:1120:11, 18 December 2023 diff hist 0 N File:Yabushita1975Combined.png No edit summary current
• 20:0920:09, 18 December 2023 diff hist 0 N File:IsothermalTrunc12.png No edit summary current
• 20:0920:09, 18 December 2023 diff hist 0 N File:IsothermalTrunc11.png No edit summary current
• 20:0820:08, 18 December 2023 diff hist 0 N File:IsothermalTrunc4.png No edit summary current
• 20:0620:06, 18 December 2023 diff hist 0 N File:DataFileButton02.png No edit summary current
• 20:0320:03, 18 December 2023 diff hist +1,278 SSC/Structure/PolytropesEmbedded/n1 No edit summary current
• 20:0220:02, 18 December 2023 diff hist +1,278 SSC/Structure/PolytropesEmbedded/n5 No edit summary
• 20:0120:01, 18 December 2023 diff hist +1,278 SSC/Structure/PolytropesEmbedded/Other No edit summary