User contributions for Joel2

16:0716:07, 8 January 2024 diff hist +14 SSC/Stability/BiPolytropes →Organizational Index
16:0016:00, 8 January 2024 diff hist −36,276 SSC/Stability/BiPolytropes No edit summary
15:5315:53, 8 January 2024 diff hist +36,533 N SSC/Stability/BiPolytropes/Pt4 Created page with " =Reconciliation= <table border="0" cellpadding="8" align="right"> <tr> <th align="center">Figure 7: Conflicting Instability Regions</th> </tr> <tr> <td align="center" colspan="10">400px|Marginally unstable models</td> </tr> </table> Figure 7, shown here on the right, is identical to the right-hand panel of Figure 4, as displayed above. From a standard global, free-energy analysis — such as the one #Virial_Sta..."
15:4415:44, 8 January 2024 diff hist +643 SSC/Stability/BiPolytropes →Organizational Index
14:5314:53, 8 January 2024 diff hist +168 SSC/Stability/GammaVariation No edit summary
14:4214:42, 8 January 2024 diff hist +1,051 SSC/Stability/GammaVariation →Isolated Uniform-Density Configuration
13:5413:54, 8 January 2024 diff hist +3 SSC/Stability/GammaVariation →Isolated Uniform-Density Configuration
01:0901:09, 8 January 2024 diff hist +1,069 SSC/Stability/GammaVariation →Isolated Uniform-Density Configuration
00:4700:47, 8 January 2024 diff hist +485 SSC/Stability/GammaVariation →Isolated Uniform-Density Configuration

20:3120:31, 3 January 2024 diff hist +2,744 SSC/Stability/GammaVariation →Isolated Uniform-Density Configuration
20:2620:26, 3 January 2024 diff hist 0 N File:Sterne1937CritGamma1.png No edit summary current
20:2120:21, 3 January 2024 diff hist +148 N SSC/Stability/GammaVariation Created page with "=How Does Stability Change with γ<sub>g</sub>?= ==Isolated Uniform-Density Configuration== =How Does Stability Change with P<sub>e</sub>?="
20:1820:18, 3 January 2024 diff hist +126 Appendix/Ramblings →Ramblings
20:0420:04, 3 January 2024 diff hist +153,411 SSC/Structure/OtherAnalyticRamblings No edit summary current
20:0220:02, 3 January 2024 diff hist +379 N SSC/Structure/OtherAnalyticRamblings Created page with "__FORCETOC__  =Ramblings Regarding the Stability of Other Analytically Definable, Spherical Equilibrium Models= The material presented in this chapter was originally developed as a subsection of a chapter that discusses "Other" Analytic Equilibrium Models." {{ SGFworkInProgress }} ===Generic Setup==="
19:5319:53, 3 January 2024 diff hist +63,124 N SSC/Structure/OtherAnalyticModels Created page with "__FORCETOC__  =Other Analytically Definable, Spherical Equilibrium Models= ==Linear Density Distribution== In an article titled, "A Survey with Analytic Models," {{ Stein66full }} defines the "Linear Stellar Model" as a star whose density "varies linearly from the center to the surface," that is (see his equation 3.1), <div align="center"> <math>\rho(r) = \rho_c\biggl( 1 - \frac{r}{R} \biggr) \, ,</math> </div> where, <math>~\rho_c</..."
19:4719:47, 3 January 2024 diff hist +179,509 N Appendix/Ramblings/NonlinarOscillation Created page with "__FORCETOC__  =Radial Oscillations in Pressure-Truncated n = 5 Polytropes= <table border="1" width="90%" align="center" cellpadding="15"> <tr><td align="center"> <table border="0" cellpadding="8"> <tr><td align="center"> <font size="+2"><b>Summary</b></font><br />Joel E. Tohline (May, 2017) </td></tr> <tr><td align="center"> <table border="0" width="80%" align="center" cellpadding="0"> <tr><td align="left"> <font color="darkgreen">"… a static c..."
19:4119:41, 3 January 2024 diff hist +87,512 N SSC/Stability/NeutralMode Created page with "__FORCETOC__  =LAWE= ==Most General Form== In an accompanying discussion, we derived the so-called, <div align="center" id="2ndOrderODE"> <font color="#770000">'''Adiabatic Wave''' (or ''Radial Pulsation'') '''Equation'''</font><br /> {{Math/EQ_RadialPulsation01}} </div> <!-- <div align="center" id="2ndOrderODE"> <font color="#770000">'''Adiabatic Wave Equation'''</font><br /> <math> \frac{d^2x}{..." current
19:3419:34, 3 January 2024 diff hist 0 N File:Hologram2004.JPG No edit summary current
19:2919:29, 3 January 2024 diff hist +28,075 N Appendix/Ramblings Created page with "__FORCETOC__  =Ramblings= Sometimes I explore some ideas to a sufficient depth that it seems worthwhile for me to archive the technical derivations even if the idea itself does not immediately produce a publishable result. This page, which has a simple outline layout, provides links to these various pages of technical notes. <ol> <li>Files on LSU P&A servers (myPhys)</li> <li>Orthogonal Curvil..."
18:4518:45, 3 January 2024 diff hist −221 SSC/Structure/BiPolytropes/Analytic15 →Comment on Murphy's Scalings
18:4218:42, 3 January 2024 diff hist −40 SSC/Structure/BiPolytropes/Analytic15 →Obtained from Chandrasekhar's U-constraint
18:3818:38, 3 January 2024 diff hist +3 SSC/Structure/BiPolytropes/Analytic15 →First Constraint
18:3618:36, 3 January 2024 diff hist 0 SSC/Structure/BiPolytropes/Analytic15 →First Constraint
18:3218:32, 3 January 2024 diff hist 0 N File:WolframAlphaCubicSolver.png No edit summary current
18:3118:31, 3 January 2024 diff hist −329 SSC/Structure/Polytropes/Analytic →Example Interval
18:2018:20, 3 January 2024 diff hist 0 N File:PlotTheta5F.png No edit summary current
18:1818:18, 3 January 2024 diff hist +7 SSC/Structure/BiPolytropes/Analytic15 →Step 6: Envelope Solution
18:1618:16, 3 January 2024 diff hist +7 SSC/Structure/BiPolytropes/Analytic15 →Step 6: Envelope Solution
18:1218:12, 3 January 2024 diff hist −77 SSC/Structure/BiPolytropes/Analytic15 →Step 6: Envelope Solution
18:0918:09, 3 January 2024 diff hist +49 N Template:Srivastava62hereafter Created page with "Srivastava62" current
18:0818:08, 3 January 2024 diff hist +167 N Template:Srivastava62full Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1962ApJ...136..680S/abstract S. Srivastava (1962, ApJ, Vol. 136, pp. 680 - 681)]" current
18:0618:06, 3 January 2024 diff hist +208 N Template:Srivastava62figure Created page with "[https://ui.adsabs.harvard.edu/abs/1962ApJ...136..680S/abstract S. Srivastava (1962)]<br />''A New Solution of the Lane-Emden Equation of Index n = 5''<br /> The Astrophysical Journal, Vol. 136, pp. 680 - 681" current
18:0318:03, 3 January 2024 diff hist +134 N Template:Srivastava62 Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1962ApJ...136..680S/abstract Srivastava (1962)]" current
18:0018:00, 3 January 2024 diff hist +785 Appendix/References →LB62
17:5917:59, 3 January 2024 diff hist −785 Appendix/References →Srivastava62
17:5817:58, 3 January 2024 diff hist +784 Appendix/References →Hunter62
17:5017:50, 3 January 2024 diff hist −39 SSC/Structure/BiPolytropes/Analytic15 →Step 5: Interface Conditions
17:4117:41, 3 January 2024 diff hist +29 SSC/Structure/BiPolytropes/Analytic15 →Step 5: Interface Conditions
17:3917:39, 3 January 2024 diff hist −18 SSC/Structure/BiPolytropes/Analytic15 →Step 5: Interface Conditions
17:3817:38, 3 January 2024 diff hist +40 SSC/Structure/BiPolytropes/Analytic15 →Step 5: Interface Conditions
17:3517:35, 3 January 2024 diff hist −3 SSC/Structure/BiPolytropes/Analytic15 →Steps 2 & 3
17:3217:32, 3 January 2024 diff hist +39 SSC/Structure/BiPolytropes/Analytic15 →BiPolytrope with nc = 1 and ne = 5
16:0616:06, 3 January 2024 diff hist −119 SSC/Structure/BiPolytropes/Analytic15 →Step 6: Envelope Solution
16:0416:04, 3 January 2024 diff hist −50 SSC/Structure/BiPolytropes/Analytic15 →Step 5: Interface Conditions
16:0216:02, 3 January 2024 diff hist −204 SSC/Structure/BiPolytropes/Analytic15 →BiPolytrope with nc = 1 and ne = 5

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