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- 20:07, 15 July 2024 Joel2 talk contribs created page File:QnuPlotB2annotated.png
- 20:07, 15 July 2024 Joel2 talk contribs uploaded File:QnuPlotB2annotated.png
- 20:07, 15 July 2024 Joel2 talk contribs created page File:ModelB2fourthAnnotated.png
- 20:07, 15 July 2024 Joel2 talk contribs uploaded File:ModelB2fourthAnnotated.png
- 20:06, 15 July 2024 Joel2 talk contribs created page File:ModelB2thirdAnnotated.png
- 20:06, 15 July 2024 Joel2 talk contribs uploaded File:ModelB2thirdAnnotated.png
- 20:06, 15 July 2024 Joel2 talk contribs created page File:ModelB2secondAnnotated.png
- 20:06, 15 July 2024 Joel2 talk contribs uploaded File:ModelB2secondAnnotated.png
- 20:06, 15 July 2024 Joel2 talk contribs created page File:ModelB2firstAnnotated.png
- 20:06, 15 July 2024 Joel2 talk contribs uploaded File:ModelB2firstAnnotated.png
- 20:04, 15 July 2024 Joel2 talk contribs created page File:PhiVSmu.png
- 20:04, 15 July 2024 Joel2 talk contribs uploaded File:PhiVSmu.png
- 20:03, 15 July 2024 Joel2 talk contribs created page File:PhsVSdelta.png
- 20:03, 15 July 2024 Joel2 talk contribs uploaded File:PhsVSdelta.png
- 20:01, 15 July 2024 Joel2 talk contribs created page Appendix/Ramblings/51BiPolytropeStability/CleanMethodicalExaminatioin (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Radial Oscillations of Polytropic Spheres= ===Adiabatic (Polytropic) Wave Equation=== Copied from here … 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> =BiPolytrope...")
- 19:58, 15 July 2024 Joel2 talk contribs created page File:EigenfunctionCorrected.png
- 19:58, 15 July 2024 Joel2 talk contribs uploaded File:EigenfunctionCorrected.png
- 19:57, 15 July 2024 Joel2 talk contribs created page File:MinMassProfile0.25.png
- 19:57, 15 July 2024 Joel2 talk contribs uploaded File:MinMassProfile0.25.png
- 19:55, 15 July 2024 Joel2 talk contribs created page File:NuVq0.25B.png
- 19:55, 15 July 2024 Joel2 talk contribs uploaded File:NuVq0.25B.png
- 19:54, 15 July 2024 Joel2 talk contribs created page File:MassVradius0.25B.png
- 19:54, 15 July 2024 Joel2 talk contribs uploaded File:MassVradius0.25B.png
- 19:52, 15 July 2024 Joel2 talk contribs created page File:EigenvectorStability.png
- 19:52, 15 July 2024 Joel2 talk contribs uploaded File:EigenvectorStability.png
- 19:47, 15 July 2024 Joel2 talk contribs created page SSC/Stability/BiPolytropes/HeadScratching (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Broader Examination of Bipolytrope Stability= <!-- Our aim is to determine whether or not there is a relationship between (1) equilibrium models at turning points along bipolytrope sequences and (2) bipolytropic models that are marginally (dynamically) unstable toward collapse (or dynamical expansion).--> {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: b...")
- 19:39, 15 July 2024 Joel2 talk contribs created page Appendix/Ramblings/51BiPolytropeStability/NoAnalytic (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Analog of Bonnor-Ebert Limiting Pressure= As has been demonstrated in an accompanying discussion, the mass of a pressure-truncated, n = 5 polytrope is, <table border="0" align="center" cellpadding="5"> <tr> <td align="right"> <math>\frac{M}{M_\mathrm{SWS}} </math> </td> <td align="center"><math>=</math></td> <td align="left"> <math> \biggl[ \biggl( \f...")
- 19:38, 15 July 2024 Joel2 talk contribs created page Appendix/Ramblings/51AnalyticStabilitySynopsis (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =More Focused Search for Analytic EigenVector of (5,1) Bipolytropes= The ideas that are captured in this chapter have arisen after a review of a previous hunt for the desired analytic eigenvector and as an extension of our SSC/Structure/BiPolytropes/Analytic51Renormalize|accompanying "renormalization" of the A...")
- 19:34, 15 July 2024 Joel2 talk contribs created page SSC/Structure/BiPolytropes/AnalyzeStepFunction (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =More Careful Examination of Step Function Behavior= The ideas that are captured in this chapter have arisen as an extension of our accompanying "renormalization" of the Analytic51 bipolytrope. ==Discontinuous Density Distribution== ===Expectations=== From among the set of SSC/Perturbations#Governing_Equatio...")
- 19:32, 15 July 2024 Joel2 talk contribs created page File:DisplacementFunctionAModel2.png
- 19:32, 15 July 2024 Joel2 talk contribs uploaded File:DisplacementFunctionAModel2.png
- 19:32, 15 July 2024 Joel2 talk contribs created page File:G0variationBipolytrope.png
- 19:32, 15 July 2024 Joel2 talk contribs uploaded File:G0variationBipolytrope.png
- 19:31, 15 July 2024 Joel2 talk contribs created page File:DensityPert51Core02.png
- 19:31, 15 July 2024 Joel2 talk contribs uploaded File:DensityPert51Core02.png
- 19:30, 15 July 2024 Joel2 talk contribs created page File:FiniteDifferenceLAWE01.png
- 19:30, 15 July 2024 Joel2 talk contribs uploaded File:FiniteDifferenceLAWE01.png
- 19:26, 15 July 2024 Joel2 talk contribs created page Appendix/Ramblings/51BiPolytropeStability/BetterInterface (Created page with "__FORCETOC__ =Better Interface for 51BiPolytrope Stability Study= ==Content Pointing to Previous Work== ===Tilded Menu Pointers=== <ol type="I"> <li>Murphy & Fiedler (1985b): SSC/Stability/MurphyFiedler85 <ol type="A"><li>Interface Conditions as promoted by Ledoux & Walraven (1958)</li> <li>SSC/Stability/MurphyFiedler85#Numerical_Integration|Numerical Int...")
- 19:17, 15 July 2024 Joel2 talk contribs created page Appendix/Ramblings/51BiPolytropeStability/BetterInterfacePt2 (Created page with "__FORCETOC__ =Better Interface for 51BiPolytrope Stability Study= This is Part 2 of an extended chapter discussion. For Part 1, go here. ==Discretize for Numerical Integration (continued)== ===General Discretization=== ====Fourth Approximation==== Let's assume that we know the four quantities, <math>x_{J-1}, x_J,(x_J)^' \equiv (dx/d\tilde{r})_J</math>, and <math>(x_{J-1})^' \equiv (dx/d\tilde{r})_{J-1}</ma...")
- 19:10, 15 July 2024 Joel2 talk contribs created page SSC/Stability/BiPolytropes/SuccinctDiscussion (Created page with "__FORCETOC__ =BiPolytrope with n<sub>c</sub> = 5 and n<sub>e</sub> = 1= Here we construct and analyze the relative stability of a bipolytrope in which the core has an <math>n_c=5</math> polytropic index and the envelope has an <math>n_e=1</math> polytropic index. ==Structure== <ol> <li>Individual model profiles, taken from: <ul><li>SSC/Structure/BiPolytropes/Analytic51#Examples|SSC/Structure/BiPolytropes/Analyti...")
- 18:58, 15 July 2024 Joel2 talk contribs created page File:FundModeLocations05Labels.png
- 18:58, 15 July 2024 Joel2 talk contribs uploaded File:FundModeLocations05Labels.png
- 18:32, 15 July 2024 Joel2 talk contribs created page File:Omega2for1stOvertone2.png
- 18:32, 15 July 2024 Joel2 talk contribs uploaded File:Omega2for1stOvertone2.png
- 18:31, 15 July 2024 Joel2 talk contribs created page File:Evolve031B.png
- 18:31, 15 July 2024 Joel2 talk contribs uploaded File:Evolve031B.png
- 18:31, 15 July 2024 Joel2 talk contribs created page File:FundModeLocations01Labels.png
- 18:31, 15 July 2024 Joel2 talk contribs uploaded File:FundModeLocations01Labels.png
- 18:28, 15 July 2024 Joel2 talk contribs created page File:ConvectiveBoundary2Labeled.png
- 18:28, 15 July 2024 Joel2 talk contribs uploaded File:ConvectiveBoundary2Labeled.png
