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• 18:42, 19 July 2024 Joel2 talk contribs created page SSC/Stability/MoreGeneralApproach (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =More General Approach to the Parabolic Eigenvalue Problem= The material presented in this chapter is an extension of the chapter titled, Other Analytic Models and could also be considered to be a subsection of the associated chapter titled, SSC/Structure/OtherAnalyticRamblings#Consider_Parabolic_Case|Other Analytic Ramb...")
• 18:38, 19 July 2024 Joel2 talk contribs created page SSC/Structure/BiPolytropes/FreeEnergy51 (Created page with "__FORCETOC__ =Free Energy of BiPolytrope with (n_c, n_e) = (5, 1)= {| 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>Free Energy<br />of<br />Bipolytropes</b><br />(n_c, n_e) = (5, 1)</font> |} Here we present a specific example of the equilibrium...")
• 18:34, 19 July 2024 Joel2 talk contribs created page SSC/Structure/BiPolytropes/FreeEnergy00 (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Free Energy of BiPolytrope with <math>~(n_c, n_e) = (0, 0)</math>= Here we present a specific example of the equilibrium structure of a bipolytrope as determined from a free-energy analysis. The example is a bipolytrope whose core has a polytropic index, <math>~n_c = 0</math>, and whose envelope has a polytropic index, <math>~n_e = 0</math>. The details presented here build upon an SSC/BipolytropeGeneralizationVe...")
• 18:13, 19 July 2024 Joel2 talk contribs created page File:OnlineIntegral03.png
• 18:13, 19 July 2024 Joel2 talk contribs uploaded File:OnlineIntegral03.png
• 13:57, 18 July 2024 Joel2 talk contribs created page File:PlotMeanToLocalDensity.png
• 13:57, 18 July 2024 Joel2 talk contribs uploaded File:PlotMeanToLocalDensity.png
• 13:49, 18 July 2024 Joel2 talk contribs created page File:EmdenTable14Corrected.jpg
• 13:49, 18 July 2024 Joel2 talk contribs uploaded File:EmdenTable14Corrected.jpg
• 13:43, 18 July 2024 Joel2 talk contribs created page File:EmdenMassProfile.png
• 13:43, 18 July 2024 Joel2 talk contribs uploaded File:EmdenMassProfile.png
• 13:42, 18 July 2024 Joel2 talk contribs created page File:IsothermalDensityPlot.png
• 13:42, 18 July 2024 Joel2 talk contribs uploaded File:IsothermalDensityPlot.png
• 13:41, 18 July 2024 Joel2 talk contribs created page File:EmdenTable14.png
• 13:41, 18 July 2024 Joel2 talk contribs uploaded File:EmdenTable14.png
• 13:37, 18 July 2024 Joel2 talk contribs created page File:EmdenBookCover1907.png
• 13:37, 18 July 2024 Joel2 talk contribs uploaded File:EmdenBookCover1907.png
• 13:19, 18 July 2024 Joel2 talk contribs created page File:N600SequenceA.png
• 13:19, 18 July 2024 Joel2 talk contribs uploaded File:N600SequenceA.png
• 13:19, 18 July 2024 Joel2 talk contribs created page File:N35SequenceA.png
• 13:19, 18 July 2024 Joel2 talk contribs uploaded File:N35SequenceA.png
• 13:17, 18 July 2024 Joel2 talk contribs created page File:N305SequenceA.png
• 13:17, 18 July 2024 Joel2 talk contribs uploaded File:N305SequenceA.png
• 13:16, 18 July 2024 Joel2 talk contribs created page File:N3005SequenceA.png
• 13:16, 18 July 2024 Joel2 talk contribs uploaded File:N3005SequenceA.png
• 13:16, 18 July 2024 Joel2 talk contribs created page File:N30SequenceA.png
• 13:16, 18 July 2024 Joel2 talk contribs uploaded File:N30SequenceA.png
• 13:15, 18 July 2024 Joel2 talk contribs created page File:N25SequenceA.png
• 13:15, 18 July 2024 Joel2 talk contribs uploaded File:N25SequenceA.png
• 14:10, 17 July 2024 Joel2 talk contribs created page SSC/FreeEnergy/PowerPoint (Created page with "__FORCETOC__ =Supporting Derivations for Free-Energy PowerPoint Presentation= The derivations presented here are an extension of our accompanying free-energy synopsis. These additional details proved to be helpful while developing an overarching PowerPoint presentation. {{LSU_HBook_header}} ==General Free-Energy Expression== We're considering a free-energy function of the following form: <div a...")
• 13:42, 17 July 2024 Joel2 talk contribs created page File:N500SequenceB.png
• 13:42, 17 July 2024 Joel2 talk contribs uploaded File:N500SequenceB.png
• 13:41, 17 July 2024 Joel2 talk contribs created page File:WolframN5polytropeMass.jpg
• 13:41, 17 July 2024 Joel2 talk contribs uploaded File:WolframN5polytropeMass.jpg
• 13:38, 17 July 2024 Joel2 talk contribs created page File:N100SequenceA.png
• 13:38, 17 July 2024 Joel2 talk contribs uploaded File:N100SequenceA.png
• 13:37, 17 July 2024 Joel2 talk contribs created page File:WolframN1polytropeMass.jpg
• 13:37, 17 July 2024 Joel2 talk contribs uploaded File:WolframN1polytropeMass.jpg
• 12:52, 17 July 2024 Joel2 talk contribs created page File:Lane1870Diagram0.png
• 12:52, 17 July 2024 Joel2 talk contribs uploaded File:Lane1870Diagram0.png
• 17:28, 16 July 2024 Joel2 talk contribs created page File:KimuraEq01.png
• 17:28, 16 July 2024 Joel2 talk contribs uploaded File:KimuraEq01.png
• 17:27, 16 July 2024 Joel2 talk contribs created page File:KimuraEq00.png
• 17:27, 16 July 2024 Joel2 talk contribs uploaded File:KimuraEq00.png
• 17:27, 16 July 2024 Joel2 talk contribs created page File:HoredtEq01.png
• 17:27, 16 July 2024 Joel2 talk contribs uploaded File:HoredtEq01.png
• 17:26, 16 July 2024 Joel2 talk contribs created page File:HoredtEq00.png
• 17:26, 16 July 2024 Joel2 talk contribs uploaded File:HoredtEq00.png
• 17:13, 16 July 2024 Joel2 talk contribs created page Appendix/Ramblings/Interrelating51and00Bipolytropes/Organization (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Interrelating (5, 1) and (0, 0) Bipolytropes= ==Structure of (n_c, n_e) = (0, 0) Bipolytropes== Here we draw heavily from an accompanying discussion to construct a bipolytrope in which both the core and the envelope have uniform densities, that is, the structure of both the core and the envelope will be modeled us...")
• 20:08, 15 July 2024 Joel2 talk contribs created page Appendix/Ramblings/51BiPolytropeStability/RethinkEnvelope (Created page with "__FORCETOC__ =Rethink Handling of n = 1 Envelope= ==Solution Steps== Drawing from an accompanying discussion … * Step 1: Choose <math>n_c</math> and <math>n_e</math>. * Step 2: Adopt boundary conditions at the center of the core (<math>\theta = 1</math> and <math>d\theta/d\xi = 0</math> at <math>\xi=0</math>), then solve the Lane-Emden equation to obtain the solution, <math>\theta(\xi)</math>, and its first derivati...")