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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).
- 23:20, 22 December 2023 Joel2 talk contribs uploaded File:Xi9.8461.png
- 23:19, 22 December 2023 Joel2 talk contribs created page File:Xi3.850652.png
- 23:19, 22 December 2023 Joel2 talk contribs uploaded File:Xi3.850652.png
- 23:19, 22 December 2023 Joel2 talk contribs created page File:Xi3.5.png
- 23:19, 22 December 2023 Joel2 talk contribs uploaded File:Xi3.5.png
- 23:18, 22 December 2023 Joel2 talk contribs created page File:Xi3.0.png
- 23:18, 22 December 2023 Joel2 talk contribs uploaded File:Xi3.0.png
- 23:18, 22 December 2023 Joel2 talk contribs created page File:Xi2.0.png
- 23:18, 22 December 2023 Joel2 talk contribs uploaded File:Xi2.0.png
- 23:18, 22 December 2023 Joel2 talk contribs created page File:Xi1.26419.png
- 23:18, 22 December 2023 Joel2 talk contribs uploaded File:Xi1.26419.png
- 22:43, 22 December 2023 Joel2 talk contribs created page File:CorrectedStahlerN5.png
- 22:43, 22 December 2023 Joel2 talk contribs uploaded File:CorrectedStahlerN5.png
- 22:13, 22 December 2023 Joel2 talk contribs created page File:AdabaticBoundedSpheres Virial.jpg
- 22:13, 22 December 2023 Joel2 talk contribs uploaded File:AdabaticBoundedSpheres Virial.jpg
- 21:50, 22 December 2023 Joel2 talk contribs created page SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt2 (Created page with " ==Mass-Radius Relation== Up to this point in our discussion, we have focused on an analysis of the pressure-radius relationship that defines the equilibrium configurations of pressure-truncated polytropes. In effect, we have viewed the problem through the same lens as did {{ Horedt70full }} and, separately, {{ Whitworth81full }}, defining variable normalizations in terms of the polytropic constant, <math>K</math>, and the configuration mass, <math>M_\mathrm{tot}</math>...")
- 21:49, 22 December 2023 Joel2 talk contribs created page SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt3 (Created page with " ==Discussion== A spherically symmetric, self-gravitating gas cloud whose effective adiabatic exponent is <math>\gamma < 4/3</math> — equivalently, <math>n > 3</math> — cannot exist in a dynamically stable equilibrium state, in isolation. Such clouds can be stabilized, however, if they are embedded in a hot, tenuous external medium and effectively confined by an external pressure, <math>~P_e</math>. The pressure-truncated, <math>n = 5 (\gamma = 6/5)</math>...")
- 21:43, 22 December 2023 Joel2 talk contribs created page SSC/Virial/PolytropesEmbedded/SecondEffortAgain/Pt1 (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Virial Equilibrium of Adiabatic Spheres (Summary)= The summary presented here has been drawn from our accompanying detailed analysis of the structure of pressure-truncated polytropes. ==Detailed Force-Balanced Solution== As has been SSC/Structure/PolytropesEmbedded#Embedded_Polytropic_Spheres|discussed in de...")
- 19:31, 22 December 2023 Joel2 talk contribs created page SSC/FreeEnergy/PolytropesEmbedded/Pt3C (Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I: Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II: Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l...")
- 19:28, 22 December 2023 Joel2 talk contribs created page SSC/FreeEnergy/PolytropesEmbedded/Pt3B (Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I: Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II: Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l...")
- 19:26, 22 December 2023 Joel2 talk contribs created page SSC/FreeEnergy/PolytropesEmbedded/Pt3A (Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I: Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II: Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l...")
- 19:23, 22 December 2023 Joel2 talk contribs created page SSC/FreeEnergy/PolytropesEmbedded/Pt2 (Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I: Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II: Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l...")
- 19:20, 22 December 2023 Joel2 talk contribs created page SSC/FreeEnergy/PolytropesEmbedded/Pt1 (Created page with "=Free Energy of Embedded Polytropes= <table border="1" align="center" width="100%" colspan="8"> <tr> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part I: Synopsis<br /> </td> <td align="center" rowspan="2" bgcolor="lightblue" width="25%"><br />Part II: Truncated Polytropes<br /> </td> <td align="center" rowspan="1" colspan="3"bgcolor="l...")
- 18:17, 22 December 2023 Joel2 talk contribs created page SSC/FreeEnergy/PolytropesEmbedded (Created page with "=Chapter Divisions= In <font color="red">October 2023</font>, this very long chapter was subdivided in order to more effectively accommodate edits. Here is a list of the resulting set of shorter chapters: <ol> <li>Free-Energy Synopsis</li> <li>Free-Energy of Truncated Polytropes</li> <li>Free-Energy of BiPolytropes <ul> <li>SSC/FreeEnergy/PolytropesEmbedded/Pt3A|Focus on Five...")
- 18:06, 22 December 2023 Joel2 talk contribs created page SSC/Structure/Polytropes/VirialSummary (Created page with "__FORCETOC__ =Virial Equilibrium of Pressure-Truncated Polytropes= {| 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>Virial Equilibrium<br />of<br />Pressure-Truncated<br />Polytropes</b></font> |} Here we will draw heavily from: [1] An accompanying SSC/FreeEnergy/PolytropesEmbedded#...")
- 20:38, 18 December 2023 Joel2 talk contribs created page Appendix/Ramblings/Radiation/RadHydro (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Radiation-Hydrodynamics= ==Governing Equations== ===Hayes et al. (2006) — But Ignoring the Effects of Magnetic Fields=== First, referencing §2 of [http://adsabs.harvard.edu/abs/2006ApJS..165..188H J. C. Hayes et al. (2006, ApJS, 165, 188 - 228)] — alternatively see §2.1 of [http://adsabs.harvard.edu/abs/2012ApJS..199...35M D. C. Marcello & J. E. Tohline (2012, ApJS, 199, id. 35, 29 pp)] ̵...")
- 20:14, 18 December 2023 Joel2 talk contribs created page File:YabushitaMontageB.png
- 20:14, 18 December 2023 Joel2 talk contribs uploaded File:YabushitaMontageB.png
- 20:11, 18 December 2023 Joel2 talk contribs created page File:Yabushita1975Combined.png
- 20:11, 18 December 2023 Joel2 talk contribs uploaded File:Yabushita1975Combined.png
- 20:09, 18 December 2023 Joel2 talk contribs created page File:IsothermalTrunc12.png
- 20:09, 18 December 2023 Joel2 talk contribs uploaded File:IsothermalTrunc12.png
- 20:09, 18 December 2023 Joel2 talk contribs created page File:IsothermalTrunc11.png
- 20:09, 18 December 2023 Joel2 talk contribs uploaded File:IsothermalTrunc11.png
- 20:08, 18 December 2023 Joel2 talk contribs created page File:IsothermalTrunc4.png
- 20:08, 18 December 2023 Joel2 talk contribs uploaded File:IsothermalTrunc4.png
- 20:06, 18 December 2023 Joel2 talk contribs created page File:DataFileButton02.png
- 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;" | <font size="-1"><b>Turning-Points<br />(Broader Context)</b></font> |} 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__ <!-- __NOTOC__ will force TOC off --> =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;" | <font size="-1"><b>Embedded<br />Polytropes</b></font> |} <!-- 90px|left --> In a separate discussion we have...")
- 15:04, 18 December 2023 Joel2 talk contribs created page SSC/Stability/InstabilityOnsetOverview (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =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"> <font size="+2"><b>Abstract</b></font><br />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;" | <font size="-1"><b>Bonnor-Ebert<br />(Isothermal)<br />Spheres</b><br />(1955-56)</font> |} 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__ <!-- __NOTOC__ will force TOC off --> =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;" | <font size="-1"><b>Zero-Temperature<br />White Dwarf</b></font> |} (More introductory material is needed here.) <br /> <br /> <br /> <br /> <br /> <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;" | <font size="-1"><b>Known<br />Analytic<br />Solutions</b></font> |} 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;" | <font size="-1">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
