Main public logs

Combined display of all available logs of JETohlineWiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

18:22, 9 January 2024 Joel2 talk contribs created page File:Sterne37OmegaVsGammaLabeled.png
18:22, 9 January 2024 Joel2 talk contribs uploaded File:Sterne37OmegaVsGammaLabeled.png
13:06, 9 January 2024 Joel2 talk contribs created page Template:TVH74hereafter (Created page with "TVH74")
13:05, 9 January 2024 Joel2 talk contribs created page Template:TVH74full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974MNRAS.168..427T/abstract L. G. Taff, & H. M. van Horn (1974, MNRAS, Vol. 168, pp. 427 - 432)]")
13:04, 9 January 2024 Joel2 talk contribs created page Template:TVH74figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1974MNRAS.168..427T/abstract L. G. Taff, & H. M. van Horn (1974)]<br />''Radial Pulsations of Finite Isothermal Gas Spheres''<br />Monthly Notices of the Royal Astronomical Society,<br />Vol. 168, pp. 427 - 432")
13:02, 9 January 2024 Joel2 talk contribs created page Template:TVH74 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974MNRAS.168..427T/abstract Taff, & van Horn (1974)]")
12:52, 9 January 2024 Joel2 talk contribs created page SSC/Stability/Isothermal (Created page with "__FORCETOC__  =Radial Oscillations of Pressure-Truncated Isothermal Spheres= {| 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>via<br />Direct<br />Numerical<br />Integration</b></font> |} ==Overview== Both {{ Ebert55full }} and {{ Bonnor56f...")
12:46, 9 January 2024 Joel2 talk contribs created page SSC/Stability/n5PolytropeLAWE (Created page with "__FORCETOC__  =Radial Oscillations of n = 5 Polytropic Spheres= ==Background== ===General Form of the LAWE for Spherical Polytropes=== 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> whose solution gives eigenfunction...")
12:43, 9 January 2024 Joel2 talk contribs created page SSC/Stability/n3PolytropeLAWE (Created page with "__FORCETOC__  =Radial Oscillations of n = 3 Polytropic Spheres= {| 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>Isolated<br />n = 3<br />Polytrope</b></font> |} ==Background== <br /> <br /> <br /> <br /> ===Our...")
12:24, 9 January 2024 Joel2 talk contribs created page SSC/Structure/BiPolytropes/Analytic51Renormalize (Created page with "__FORCETOC__ =BiPolytrope with (n<sub>c</sub>, n<sub>e</sub>) = (5, 1) Renormalized= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="1" bgcolor="lightblue" width="33%"><br />Part I: (5, 1) Analytic Renormalize<br /> </td> <td align="center" rowspan="1" bgcolor="lightblue" width="33%"><br />SSC/Structure/BiPolytropes/Analytic51Renormalize/Pt2|Part II: E...")
12:23, 9 January 2024 Joel2 talk contribs created page SSC/Structure/BiPolytropes/Analytic51Renormalize/Pt2 (Created page with "__FORCETOC__ =BiPolytrope with (n<sub>c</sub>, n<sub>e</sub>) = (5, 1) Renormalized= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="1" bgcolor="lightblue" width="33%"><br />Part I: (5, 1) Analytic Renormalize<br /> </td> <td align="center" rowspan="1" bgcolor="lightblue" width="33%"><br />SSC/Structure/BiPolytropes/Analytic51Renormalize/Pt2|Part II: E...")
12:08, 9 January 2024 Joel2 talk contribs created page SSC/Structure/BiPolytropes/Analytic51Renormalize/Pt3 (Created page with "__FORCETOC__ =BiPolytrope with (n<sub>c</sub>, n<sub>e</sub>) = (5, 1) Renormalized= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="1" bgcolor="lightblue" width="33%"><br />Part I: (5, 1) Analytic Renormalize<br /> </td> <td align="center" rowspan="1" bgcolor="lightblue" width="33%"><br />SSC/Structure/BiPolytropes/Analytic51Renormalize/Pt2|Part II: E...")
11:51, 9 January 2024 Joel2 talk contribs created page Appendix/Ramblings/OriginOfPlanetaryNebulae (Created page with "  =On the Origin of Planetary Nebulae= This chapter — initially created by J. E. Tohline on 19 November 2016 — is intended primarily to provide a summary of the research that has been undertaken following <font color="red">a discussion that took place on 3 July 2013</font> with Kundan Kadam (an LSU graduate student, at the time) regarding the stability of...")
11:47, 9 January 2024 Joel2 talk contribs created page SSC/Stability/BiPolytropes/Index (Created page with "__FORCETOC__  =Organizational Index= This index helps organize and summarize the insight that we have gained from our broad investigation into the relative stability of spherically symmetric bipolytropic configurations. The most relevant summary chapter is named, SSC/Stability/BiPolytropes. ==Motivation== Schönberg-Chandrasekhar mass limit: <ul> <li> SSC/Structure/LimitingMasses#Schönberg-C...")
11:46, 9 January 2024 Joel2 talk contribs created page Template:LAWEsolutions (Created page with "<table border="1" align="center" cellpadding="5"> <tr> <td align="center" colspan="3"><b>Isolated n = 1 Polytrope</b></td> </tr> <tr> <td align="center" rowspan="2"><math>\gamma_g = (n+1)/n = 2</math><br /><p><br /><p><br />250px|n = 1 Eigenvectors</td> <td align="center" rowspan="2"><math>\gamma_g = \tfrac{5}{3}</math><br />250px|n = 1 Eigenvectors</td> <td align="left">Key Reference(s): <ul><li>{{ Chatterj...")
11:45, 9 January 2024 Joel2 talk contribs created page File:N5Truncated2.gif
11:45, 9 January 2024 Joel2 talk contribs uploaded File:N5Truncated2.gif
11:44, 9 January 2024 Joel2 talk contribs created page File:OurImprovedSummary2.png
11:44, 9 January 2024 Joel2 talk contribs uploaded File:OurImprovedSummary2.png
11:43, 9 January 2024 Joel2 talk contribs created page File:N1osc06.gif
11:43, 9 January 2024 Joel2 talk contribs uploaded File:N1osc06.gif
17:54, 8 January 2024 Joel2 talk contribs created page File:VariationOf2Modes.png
17:54, 8 January 2024 Joel2 talk contribs uploaded File:VariationOf2Modes.png
17:48, 8 January 2024 Joel2 talk contribs created page File:FourModesMuRatio100.png
17:48, 8 January 2024 Joel2 talk contribs uploaded File:FourModesMuRatio100.png
17:46, 8 January 2024 Joel2 talk contribs created page File:NEWCompositeDlabeled.png
17:46, 8 January 2024 Joel2 talk contribs uploaded File:NEWCompositeDlabeled.png
17:45, 8 January 2024 Joel2 talk contribs created page File:Mod0MuRatio100.png
17:45, 8 January 2024 Joel2 talk contribs uploaded File:Mod0MuRatio100.png
17:44, 8 January 2024 Joel2 talk contribs created page File:Mode0EigenfunctionsCombinedSmall.png
17:44, 8 January 2024 Joel2 talk contribs uploaded File:Mode0EigenfunctionsCombinedSmall.png
16:15, 8 January 2024 Joel2 talk contribs created page SSC/Stability/BiPolytropes/Pt2 (Created page with "=Review of the Analysis by Murphy & Fiedler (1985b)= As we have detailed separately, the boundary condition at the center of a polytropic configuration is, <div align="center"> <math>\frac{dx}{d\xi} \biggr|_{\xi=0} = 0 \, ;</math> </div> and the boundary condition at the surface of an isolated polytropic configuration is, <table border="0" cellpadding="5" align="center"> <tr> <td align="right"> <math>\frac{d\ln x}{...")
16:09, 8 January 2024 Joel2 talk contribs created page SSC/Stability/BiPolytropes/Pt3 (Created page with "=Radial Oscillations of (n<sub>c</sub>, n<sub>e</sub>) = (5, 1) Models= ==Foundation== 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> whose solution gives eigenfunctions that describe various radial modes of oscillation in spherically symmetric, self-gravi...")
15:53, 8 January 2024 Joel2 talk contribs created page 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...")
20:26, 3 January 2024 Joel2 talk contribs created page File:Sterne1937CritGamma1.png
20:26, 3 January 2024 Joel2 talk contribs uploaded File:Sterne1937CritGamma1.png
20:21, 3 January 2024 Joel2 talk contribs created page 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>?=")
20:02, 3 January 2024 Joel2 talk contribs created page 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===")
19:53, 3 January 2024 Joel2 talk contribs created page 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</...")
19:47, 3 January 2024 Joel2 talk contribs created page 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...")
19:41, 3 January 2024 Joel2 talk contribs created page 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}{...")
19:34, 3 January 2024 Joel2 talk contribs created page File:Hologram2004.JPG
19:34, 3 January 2024 Joel2 talk contribs uploaded File:Hologram2004.JPG
19:29, 3 January 2024 Joel2 talk contribs created page 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...")
18:32, 3 January 2024 Joel2 talk contribs created page File:WolframAlphaCubicSolver.png
18:32, 3 January 2024 Joel2 talk contribs uploaded File:WolframAlphaCubicSolver.png
18:20, 3 January 2024 Joel2 talk contribs created page File:PlotTheta5F.png
18:20, 3 January 2024 Joel2 talk contribs uploaded File:PlotTheta5F.png
18:09, 3 January 2024 Joel2 talk contribs created page Template:Srivastava62hereafter (Created page with "Srivastava62")
18:08, 3 January 2024 Joel2 talk contribs created page Template:Srivastava62full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1962ApJ...136..680S/abstract S. Srivastava (1962, ApJ, Vol. 136, pp. 680 - 681)]")

Main public logs

Navigation menu

Search