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- 20:02, 3 January 2024 Joel2 talk contribs created page SSC/Structure/OtherAnalyticRamblings (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =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__ <!-- __NOTOC__ will force TOC off --> =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__ <!-- __NOTOC__ --> =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__ <!-- __NOTOC__ will force TOC off --> =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__ <!-- __NOTOC__ will force TOC off --> =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)]")
- 18:06, 3 January 2024 Joel2 talk contribs created page 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")
- 18:03, 3 January 2024 Joel2 talk contribs created page Template:Srivastava62 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1962ApJ...136..680S/abstract Srivastava (1962)]")
- 15:53, 3 January 2024 Joel2 talk contribs created page Template:MF85ahereafter (Created page with "MF85a")
- 15:53, 3 January 2024 Joel2 talk contribs created page Template:MF85afull (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1985PASA....6..219M/abstract J. O. Murphy & R. Fiedler (1985a, Proc. Astron. Soc. Australia, Vol. 6, no. 2, pp. 219 - 222)]")
- 15:51, 3 January 2024 Joel2 talk contribs created page Template:MF85afigure (Created page with "[https://ui.adsabs.harvard.edu/abs/1985PASA....6..219M/abstract J. O. Murphy & R. Fiedler (1985)]<br />''Physical Structure of a Sequence of Two Zone Polytropic Stellar Models''<br />Proceedings of the Astronomical Society of Australia, Vol. 6, no. 2, pp. 219 - 222")
- 15:48, 3 January 2024 Joel2 talk contribs created page Template:MF85a (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1985PASA....6..219M/abstract Murphy & Fiedler (1985a)]")
- 19:02, 2 January 2024 Joel2 talk contribs created page Template:Murphy83ahereafter (Created page with "Murphy83a")
- 19:01, 2 January 2024 Joel2 talk contribs created page Template:Murphy83afull (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1983PASA....5..175M/abstract J. O. Murphy (1983a, Proc. Astron. Soc. Australia, Vol. 5, no. 2, pp. 175 - 179)]")
- 18:58, 2 January 2024 Joel2 talk contribs created page Template:Murphy83afigure (Created page with "[https://ui.adsabs.harvard.edu/abs/1983PASA....5..175M/abstract J. O. Murphy (1983)]<br />''Composite Analytical Solutions of the Lane-Emden Equation with Polytropic Indices n = 1 and n = 5''<br />Proceedings of the Astronomical Society of Australia, Vol. 5, no. 2, pp. 175 - 179")
- 18:54, 2 January 2024 Joel2 talk contribs created page Template:Murphy83a (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1983PASA....5..175M/abstract Murphy (1983a)]")
- 18:45, 2 January 2024 Joel2 talk contribs created page Template:MF85bhereafter (Created page with "MF85b")
- 18:45, 2 January 2024 Joel2 talk contribs created page Template:MF85bfull (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1985PASA....6..222M/abstract J. O. Murphy & R. Fiedler (1985b, Proc. Astron. Soc. Australia, Vol. 6, no. 2, pp. 222 - 226)]")
- 18:44, 2 January 2024 Joel2 talk contribs created page Template:MF85bfigure (Created page with "[https://ui.adsabs.harvard.edu/abs/1985PASA....6..222M/abstract J. O. Murphy & R. Fiedler (1985)]<br />''Radial Pulsations and Vibrational Stability of a Sequence of Two Zone Polytropic Stellar Models''<br />Proceedings of the Astronomical Society of Australia, Vol. 6, no. 2, pp. 222 - 226")
- 18:43, 2 January 2024 Joel2 talk contribs created page Template:MF85b (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1985PASA....6..222M/abstract Murphy & Fiedler (1985b)]")
- 23:54, 31 December 2023 Joel2 talk contribs created page File:PresXi30.jpg
- 23:54, 31 December 2023 Joel2 talk contribs uploaded File:PresXi30.jpg
- 23:54, 31 December 2023 Joel2 talk contribs created page File:PresXi10.jpg
- 23:54, 31 December 2023 Joel2 talk contribs uploaded File:PresXi10.jpg
- 23:54, 31 December 2023 Joel2 talk contribs created page File:PresXi05.jpg
- 23:54, 31 December 2023 Joel2 talk contribs uploaded File:PresXi05.jpg
- 23:53, 31 December 2023 Joel2 talk contribs created page File:MassXi30.jpg
- 23:53, 31 December 2023 Joel2 talk contribs uploaded File:MassXi30.jpg
- 23:53, 31 December 2023 Joel2 talk contribs created page File:MassXi10.jpg
- 23:53, 31 December 2023 Joel2 talk contribs uploaded File:MassXi10.jpg
- 23:53, 31 December 2023 Joel2 talk contribs created page File:MassXi05.jpg
- 23:53, 31 December 2023 Joel2 talk contribs uploaded File:MassXi05.jpg
- 23:53, 31 December 2023 Joel2 talk contribs created page File:DenXi30.jpg
- 23:53, 31 December 2023 Joel2 talk contribs uploaded File:DenXi30.jpg
- 23:52, 31 December 2023 Joel2 talk contribs created page File:DenXi10.jpg
- 23:52, 31 December 2023 Joel2 talk contribs uploaded File:DenXi10.jpg
- 23:52, 31 December 2023 Joel2 talk contribs created page File:DenXi05.jpg
- 23:52, 31 December 2023 Joel2 talk contribs uploaded File:DenXi05.jpg
- 23:50, 31 December 2023 Joel2 talk contribs created page File:MF85Table1byTohline02.png
- 23:50, 31 December 2023 Joel2 talk contribs uploaded File:MF85Table1byTohline02.png
- 23:41, 31 December 2023 Joel2 talk contribs created page SSC/Structure/BiPolytropes/MurphyUVplane (Created page with "__FORCETOC__ =UV Plane Functions as Analyzed by Murphy (1983)= This chapter supports and expands upon an accompanying discussion of the construction of a bipolytrope in which the core has an <math>n_c=1</math> polytropic index and the envelope has an <math>n_e=5</math> polytropic index. This system is particularly interesting because the entire s...")
- 23:36, 31 December 2023 Joel2 talk contribs created page File:MurphyPhysicallyViableTable3d.png
- 23:36, 31 December 2023 Joel2 talk contribs uploaded File:MurphyPhysicallyViableTable3d.png
