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20:06, 18 December 2023 Joel2 talk contribs uploaded File:DataFileButton02.png
19:43, 18 December 2023 Joel2 talk contribs created page SSC/Structure/PolytropesEmbedded/n1 (Created page with " ==Polytropic Configurations with n = 1== Drawing from the earlier discussion of isolated polytropes, we will reference various radial locations within the spherical configuration by the dimensionless radius, <div align="center"> <math> \xi \equiv \frac{r}{a_\mathrm{n=1}} , </math> </div> where, <div align="center"> <math> a_\mathrm{n=1} \equiv \biggl[\frac{1}{4\pi G}~ \biggl( \frac{H_c}{\rho_c} \biggr)_{n=1}\biggr]^{1/2} = \biggl[\frac{K}{2...")
19:41, 18 December 2023 Joel2 talk contribs created page SSC/Structure/PolytropesEmbedded/n5 (Created page with " ==Polytropic Configurations with n = 5== Drawing from the earlier discussion of isolated polytropes, we will reference various radial locations within a spherical {{Math/MP_PolytropicIndex}} = 5 polytrope by the dimensionless radius, <div align="center"> <math> \xi \equiv \frac{r}{a_\mathrm{n=5}} , </math> </div> where, <div align="center"> <math> a_{n=5} = \biggr[ \frac{(n+1)K}{4\pi G} \rho_c^{(1/n - 1)} \biggr]^{1/2}_{n=5} = \biggr[ \frac...")
19:39, 18 December 2023 Joel2 talk contribs created page SSC/Structure/PolytropesEmbedded/Other (Created page with " ==Additional, Numerically Constructed Polytropic Configurations== As has been detailed in an accompanying chapter, using numerical techniques we have solved the Lane-Emden equation, and thereby discerned the internal structural profiles, for polytropes having a wide variety of polytropic indexes. The righthand panel of Figure 3 presents a diagram in which the mass-radius "sequences" corresponding to eight different polytr...")
18:56, 18 December 2023 Joel2 talk contribs created page Appendix/Ramblings/TurningPoints (Created page with "__FORCETOC__ =Turning Points= {| 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;" | Turning-Points (Broader Context) |} The material presented below has been gathered together and expanded in preparation for developing a primary chapter that discusses SSC/FreeEnergy/Equil...")
18:26, 18 December 2023 Joel2 talk contribs created page SSC/Structure/PolytropesEmbedded (Created page with "__FORCETOC__  =Embedded 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;" | Embedded Polytropes |}  In a separate discussion we have...")
15:04, 18 December 2023 Joel2 talk contribs created page SSC/Stability/InstabilityOnsetOverview (Created page with "__FORCETOC__  =Marginally Unstable Pressure-Truncated Gas Clouds= <table border="1" width="90%" align="center" cellpadding="15"> <tr><td align="center"> <table border="0" cellpadding="8"> <tr><td align="center"> Abstract Joel E. Tohline (April, 2017) </td></tr> <tr><td align="left"> right|200px|center|Pressure-Truncated Isothermal Equilibrium SequenceWhen an isotherm...")
14:55, 18 December 2023 Joel2 talk contribs created page SSC/Structure/BonnorEbert (Created page with "__FORCETOC__ =Pressure-Bounded Isothermal Sphere= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffeeee;" | Bonnor-Ebert (Isothermal) Spheres (1955-56) |} As has been derived and discussed elsewhere, a...")
14:37, 18 December 2023 Joel2 talk contribs created page SSC/Structure/WhiteDwarfs (Created page with "__FORCETOC__  =White Dwarfs= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffff99;" | Zero-Temperature White Dwarf |} (More introductory material is needed here.) <br...")
13:38, 18 December 2023 Joel2 talk contribs created page SSC/Structure/Polytropes/Analytic (Created page with "==Known Analytic Solutions== {| 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;" | Known Analytic Solutions |} While the Lane-Emden equation has been studied for over 100 years, to date, analytic solutions to the equation (subject to the above specified boun...")
13:33, 18 December 2023 Joel2 talk contribs created page SSC/Structure/Polytropes/Numerical (Created page with "==Numerical Solutions== Here we explain how an Excel workbook can be used to numerically solve the Lane-Emden equation, evaluating the Lane-Emden function across a one-dimensional, discrete grid. ===Techniques=== ====HSCF Technique==== {| 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;" | H_BookTiledMenu#Equilibrium_St...")
19:43, 17 December 2023 Joel2 talk contribs created page File:Our2019Diagram2.png
19:43, 17 December 2023 Joel2 talk contribs uploaded File:Our2019Diagram2.png
19:20, 17 December 2023 Joel2 talk contribs created page SSC/Structure/Lane1870 (Created page with "__FORCETOC__  =Lane's 1870 Work= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffeeee;" | Lane (1870) |} In what follows, text presented in a dark green font (and/or, as indicated, each equation) has been copied ''verbatim''...")
14:36, 17 December 2023 Joel2 talk contribs created page SSC/Structure/UniformDensity (Created page with "  =Isolated Uniform-Density Sphere= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffff99;" | Uniform-Density Sphere |} Here we derive the interior structural...")
14:15, 17 December 2023 Joel2 talk contribs created page SSC/SynopsisStyleSheet (Created page with "__FORCETOC__   =Spherically Symmetric Configurations Synopsis (Using Style Sheet)= ==Structure== ===Tabular Overview=== {| class="Synopsis1A" style="margin: auto; color:black; width:85%;" border="1" cellpadding="12" |+ style="height:30px;" | '''Spherically Symmetric Configurations that undergo Adiabatic Compression/Expansion''' — adiabatic index, <m...")
20:32, 16 December 2023 Joel2 talk contribs created page SSCpt2/IntroductorySummary (Created page with "__FORCETOC__  =Applications= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:lightgreen;" | Hydrostatic Balance Equations |} ==Spherically Symmetric Configurations== ===Structure:=== Here we show how the set of PGE#Principal_G...")
20:06, 16 December 2023 Joel2 talk contribs created page SSCpt1/Virial/FormFactors (Created page with "__FORCETOC__  =Structural Form Factors= {| 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;" | Structural Form Factors |} As has been defined in SSCpt1/Virial#Structural_Form_Factors|a companion, introduct...")
19:54, 16 December 2023 Joel2 talk contribs created page SSCpt1/Virial/PolytropesEmbeddedOutline (Created page with "__FORCETOC__   =Virial Equilibrium of Embedded Polytropic Spheres= <div align="center" id="IntroFigures"> <table border="1" cellpadding="8" align="center"> <tr> <th align="center" colspan="2"> Figure 1: Free-Energy Surfaces for Pressure-Truncated Structures </th> <tr> <td align="center" colspan="1" bgcolor="#CCFFFF"> File:FreeNRGmassRadiusN5.png|300px|n = 5 Free-Ene...")
19:41, 16 December 2023 Joel2 talk contribs created page SSC/Index (Created page with "__FORCETOC__  =Spherically Symmetric Configurations (SSC) Index= ==Detailed Force Balance== <ol type="A"> <li> SGF Menu Tile: One-Dimensional PGEs SGF link: '''SSCpt1/PGE''' <math>\leftarrow</math> backup: "Chapters" B001 File Headline: PGE for Spherically Symmetric Configurations (old) VisTrails link: &nbs...")
19:25, 16 December 2023 Joel2 talk contribs created page SSC/Structure/IsothermalSphere (Created page with "__FORCETOC__  =Isothermal Sphere= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffff99;" | Isothermal Sphere |} Here we supplement the simplified set of principal governing equations with an isothermal equation...")
19:21, 16 December 2023 Joel2 talk contribs created page SSCpt2/SolutionStrategies (Created page with "__FORCETOC__   =Spherically Symmetric Configurations (Part II)=  Equilibrium, spherically symmetric '''structures''' are obtained by searching for time-independent solutions to the identified set of simplified governing equations. The steady-state flow field that...")
16:14, 16 December 2023 Joel2 talk contribs created page SSCpt1/PGE (Created page with "__FORCETOC__  =PGE for Spherically Symmetric Configurations= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:lightgreen;" | One-Dimensional PGEs |} If the self-gravitating configuration that we wish to construct is spheri...")
15:50, 16 December 2023 Joel2 talk contribs created page File:Andalib.vel43Small.jpeg
15:50, 16 December 2023 Joel2 talk contribs uploaded File:Andalib.vel43Small.jpeg
15:50, 16 December 2023 Joel2 talk contribs created page File:Andalib.vel36Small.jpeg
15:50, 16 December 2023 Joel2 talk contribs uploaded File:Andalib.vel36Small.jpeg
15:49, 16 December 2023 Joel2 talk contribs created page File:Andalib.vel30Small.jpeg
15:49, 16 December 2023 Joel2 talk contribs uploaded File:Andalib.vel30Small.jpeg
15:49, 16 December 2023 Joel2 talk contribs created page File:Andalib.vel20Small.jpeg
15:49, 16 December 2023 Joel2 talk contribs uploaded File:Andalib.vel20Small.jpeg
15:48, 16 December 2023 Joel2 talk contribs created page File:Andalib.vel14Small.jpeg
15:48, 16 December 2023 Joel2 talk contribs uploaded File:Andalib.vel14Small.jpeg
15:48, 16 December 2023 Joel2 talk contribs created page File:Andalib.vel12Small.jpeg
15:48, 16 December 2023 Joel2 talk contribs uploaded File:Andalib.vel12Small.jpeg
15:47, 16 December 2023 Joel2 talk contribs created page File:Andalib.vel05Small.jpeg
15:47, 16 December 2023 Joel2 talk contribs uploaded File:Andalib.vel05Small.jpeg
15:45, 16 December 2023 Joel2 talk contribs created page Appendix/lsuPhys (Created page with "__FORCETOC__  =IT Help Requested in June 2023= Over the past several decades I have created and stored hundreds of research-related files on web servers that have been supported/maintained by the LSU Physics & Astronomy IT staff. Currently the vast majority of these files cannot be accessed via standard web browsers; and currently I am unable to log into and/or edit any of t...")
22:04, 15 December 2023 Joel2 talk contribs created page Template:KP96hereafter (Created page with "KP96")
22:03, 15 December 2023 Joel2 talk contribs created page Template:KP96figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1996ApJS..105..181K/abstract D. G. Korycansky & J. C. B. Papaloizou (1996)] ''A Method for Calculations of Nonlinear Shear flow: Application to Formation of Giant Planets in the Solar Nebula'' The Astrophysical Journal Supplements Series, Vol. 105, pp. 181 - 190")
21:59, 15 December 2023 Joel2 talk contribs created page Template:KP96 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1996ApJS..105..181K/abstract Korycansky & Papaloizou (1996)]")
21:58, 15 December 2023 Joel2 talk contribs created page Template:KP96full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1996ApJS..105..181K/abstract D. G. Korycansky & J. C. B. Papaloizou (1996, ApJ Suppl., Vol. 105, pp. 181 - 190)]")
20:48, 14 December 2023 Joel2 talk contribs created page Template:Lebovitz67 XXXIVhereafter (Created page with "Lebovitz67")
20:47, 14 December 2023 Joel2 talk contribs created page Template:Lebovitz67 XXXIVfull (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1967ARA%26A...5..465L/abstract N. R. Lebovitz (1967, ARAA, Vol. 5, pp. 465 - 480)] — referred to in [EFE] as Publication XXXIV")
20:46, 14 December 2023 Joel2 talk contribs created page Template:Lebovitz67 XXXIVfigure (Created page with "[https://ui.adsabs.harvard.edu/abs/1967ARA%26A...5..465L/abstract N. R. Lebovitz (1967)] ''Rotating Fluid Masses'' Annual Review of Astronomy and Astrophysics, Vol. 5, pp. 465 - 480")
20:46, 14 December 2023 Joel2 talk contribs created page Template:Lebovitz67 XXXIV (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1967ARA%26A...5..465L/abstract Lebovitz (1967)]")
18:16, 14 December 2023 Joel2 talk contribs created page Contents (Created page with "=Primary (Tiled Menu) Chapters= ==Context== <ol> <li>Principal Governing Equations (PGEs)</li> <li>Continuity</li> <li>Euler</li> <li>1st Law of Thermodynamics</li> <li>Poisson</li> <li>Global Energy Considerations</li> <li>Equation of State (EOS)</li> <li>Ideal Gas</li> <li>SR/PressureCombinations|Total Pressur...")
16:31, 14 December 2023 Joel2 talk contribs created page Template:Tohline85hereafter (Created page with "Tohline85")
16:31, 14 December 2023 Joel2 talk contribs created page Template:Tohline85full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1985ApJ...292..181T/abstract J. E. Tohline (1985, ApJ, Vol. 292, pp. 181 - 187)]")
16:30, 14 December 2023 Joel2 talk contribs created page Template:Tohline85figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1985ApJ...292..181T/abstract J. E. Tohline (1985)] ''Star Formation: Phase Transition Not Jeans Instability'' The Astrophysical Journal, Vol. 292, pp. 181 - 187")

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