User contributions for Joel2

12 January 2024

• 23:2523:25, 12 January 2024 diff hist +37 N Template:Wong73hereafter Created page with "Wong73" current
• 23:2523:25, 12 January 2024 diff hist +180 N Template:Wong73full Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1973AnPhy..77..279W/abstract C. Y. Wong (1973, Annals of Physics, Vol. 77, issue 1, pp. 279 - 353)]" current
• 23:2423:24, 12 January 2024 diff hist +184 N Template:Wong73figure Created page with "[https://ui.adsabs.harvard.edu/abs/1973AnPhy..77..279W/abstract C. Y. Wong (1973)]<br />''Toroidal and Spherical Bubble Nuclei''<br />Annals of Physics, Vol. 77, issue 1, pp. 279 - 353" current
• 23:2323:23, 12 January 2024 diff hist +122 N Template:Wong73 Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1973AnPhy..77..279W/abstract Wong (1973)]" current
• 23:2223:22, 12 January 2024 diff hist −7 Appendix/References →BO73
• 23:2123:21, 12 January 2024 diff hist +33 N Template:BO73hereafter Created page with "BO73" current
• 23:2123:21, 12 January 2024 diff hist +177 N Template:BO73full Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1973ApJ...180..159B/abstract P. Bodenheimer & J. P. Ostriker (1973, ApJ, Vol. 180, pp. 159 - 170)]" current
• 23:2023:20, 12 January 2024 diff hist +234 N Template:BO73figure Created page with "[https://ui.adsabs.harvard.edu/abs/1973ApJ...180..159B/abstract P. Bodenheimer & J. P. Ostriker (1973)]<br />''Rapidly Rotating Stars. VIII. Zero-Viscosity Polytropic Sequences''<br />The Astrophysical Journal, Vol. 180, pp. 159 - 170" current
• 23:1923:19, 12 January 2024 diff hist +138 N Template:BO73 Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1973ApJ...180..159B/abstract Bodenheimer & Ostriker (1973)]" current
• 23:1823:18, 12 January 2024 diff hist −7 Appendix/References →Bardeen71
• 23:1723:17, 12 January 2024 diff hist +43 N Template:Bardeen71hereafter Created page with "Bardeen71" current
• 23:1723:17, 12 January 2024 diff hist +164 N Template:Bardeen71full Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1971ApJ...167..425B/abstract J. M. Bardeen (1971, ApJ, Vol. 167, pp. 425 - 446)]" current
• 23:1623:16, 12 January 2024 diff hist +208 N Template:Bardeen71figure Created page with "[https://ui.adsabs.harvard.edu/abs/1971ApJ...167..425B/abstract J. M. Bardeen (1971)]<br />''A Reexamination of the Post-Newtonian Maclaurin Spheroids''<br />The Astrophysical Journal, Vol. 167, pp. 425 - 446" current
• 23:1523:15, 12 January 2024 diff hist +128 N Template:Bardeen71 Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1971ApJ...167..425B/abstract Bardeen (1971)]" current
• 23:1423:14, 12 January 2024 diff hist −7 Appendix/References →VdBorght70
• 23:1323:13, 12 January 2024 diff hist +45 N Template:VdBorght70hereafter Created page with "VdBorght70" current
• 23:1323:13, 12 January 2024 diff hist +199 N Template:VdBorght70full Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1970PASA....1..325V/abstract R. Van der Borght (1970, Proc. Astr. Soc. Australia, Vol. 1, Issue 7, pp. 325 - 326)]" current
• 23:1223:12, 12 January 2024 diff hist +220 N Template:VdBorght70figure Created page with "[https://ui.adsabs.harvard.edu/abs/1970PASA....1..325V/abstract R. Van der Borght (1970)]<br />''Adiabatic Oscillations of Stars''<br />Proceedings of the Astronomical Society of Australia, Vol. 1, Issue 7, pp. 325 - 326" current
• 23:1123:11, 12 January 2024 diff hist +136 N Template:VdBorght70 Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1970PASA....1..325V/abstract Van der Borght (1970)]" current
• 22:4222:42, 12 January 2024 diff hist +34,420 N Appendix/Ramblings/T3Integrals Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Integrals of Motion in T3 Coordinates= Motivated by the HNM82 derivation, in an accompanying chapter we have introduced a new ''T2 Coordinate System'' and have outlined a few of its properties. Here we offer a modest redefinition of the second ''radial'' coordinate in an effort to bring even more symmetry to the definition of the position vector, <math>..." current
• 21:4021:40, 12 January 2024 diff hist +170,583 N Appendix/Ramblings/PPToriPt1A Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Stability Analyses of PP Tori= <font color="red"><b>[Comment by J. E. Tohline on 24 May 2016]</b></font>   This chapter contains a set of technical notes and accompanying discussion that I put together several months ago as I was trying to gain a foundational understanding of the results of a large study of instabilities in self-gravitating tori published by the Imamura & Hadley collaboration. I have come to..." current
• 21:3421:34, 12 January 2024 diff hist +16,552 N Apps/WoodwardTohlineHachisu94 Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =The Stability of Self-Gravitating Polytropic Tori= {| class="Ostriker64" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:white;" |<b>Thick<br />Accretion<br />Disks</b><br />(WTH94) |} [http://adsabs.harvard.edu/abs/1994ApJ...420..247W J. W. Woodward, J. E. Tohli..." current
• 21:3321:33, 12 January 2024 diff hist +20,679 N Appendix/Ramblings/HadleyAndImamuraSupplementaryDatabase Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Supplementary Dataset Generated by Hadley & Imamura Collaboration= ==Introduction== Using numerical hydrodynamic techniques, the Hadley & Imamura collaboration — see especially [http://adsabs.harvard.edu/abs/2011Ap%26SS.334....1H Paper I] and [http://adsabs.harvard.edu/abs/2014Ap%26SS.353..191H Paper II] — has studied the dynamical development of nonaxisymmetric instabilities in toroid..." current
• 21:2121:21, 12 January 2024 diff hist +84,000 N Appendix/Ramblings/AzimuthalDistortions Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Analyzing Azimuthal Distortions= <font color="red"><b>[Comment by J. E. Tohline on 24 May 2016]</b></font>   This chapter contains a set of technical notes and accompanying discussion that I put together several months ago as I was trying to gain a foundational understanding of the results of a large study of instabilities in self-gravitating tori published by the Imamura & Hadley collaboration. I have come t..." current
• 21:2021:20, 12 January 2024 diff hist 0 N File:PermissionsRectYellow.png No edit summary current
• 20:5820:58, 12 January 2024 diff hist +62,530 N Appendix/Ramblings/ToHadleyAndImamura Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Summary for Hadley & Imamura= <font color="red"><b>[Comment by J. E. Tohline on 24 May 2016]</b></font>   This chapter contains a set of technical notes and accompanying discussion that I put together several months ago as I was trying to gain a foundational understanding of the results of a large study of instabilities in self-gravitating tori published by the Imamura & Hadley collaboration. I have come..." current
• 20:5620:56, 12 January 2024 diff hist +19,427 N Appendix/Ramblings/SphericalWaveEquation Created page with "__FORCETOC__ <!--will force the creation of a Table of Contents--> <!-- __NOTOC__ will force TOC off --> =Playing With Spherical Wave Equation= The traditional presentation of the (spherically symmetric) adiabatic wave equation focuses on fractional radial displacements, <math>~x \equiv \delta r/r_0</math>, of spherical mass shells. After studying in depth various Apps/Papalo..." current
• 20:5520:55, 12 January 2024 diff hist +21,452 N Appendix/Ramblings/T1Coordinates Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Relationship Between HNM82 Models and T1 Coordinates= ==Preamble== In the mid-1990s I invested time trying to gain a better understanding of the "<math>3^\mathrm{rd}</math> Integral of Motion" that is discussed especially in the context of galaxy dynamics. For example, BT87 discuss the behavior of particle orbits in static potentials in which equipotential contours are nest..."
• 20:5320:53, 12 January 2024 diff hist +61,520 N Appendix/Ramblings/ConcentricEllipsoidalDaringAttack Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Daring Attack= ==Background== Building on our general introduction to ''Direction Cosines'' in the context of orthogonal curvilinear coordinate systems, and on our previous development of the so-called T6 (concentric elliptic) coordinate system, here we take a somewhat daring attack on this..." current
• 20:5220:52, 12 January 2024 diff hist +42,468 N Appendix/Ramblings/ConcentricEllipsoidalT12Coordinates Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Concentric Ellipsoidal (T12) Coordinates= ==Background== Building on our general introduction to ''Direction Cosines'' in the context of orthogonal curvilinear coordinate systems, and on our previous development of T3 (concentric oblate-spheroidal) and User:Tohline/Appendix/Ramblings/EllipticCylinderCoordinates#T5_Coo..." current
• 20:5120:51, 12 January 2024 diff hist +48,310 N Appendix/Ramblings/T9Coordinates Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =T9 Coordinates= ==Establish 1^st and 3^rd Coordinates== <table border="0" cellpadding="5" align="center"> <tr> <td align="right"> <math>~\lambda_1</math> </td> <td align="center"> <math>~\equiv</math> </td> <td align="left"> <math>~(x^2 + q^2y^2 + p^2z^2)^{1 / 2} \, ,</math> </td> </tr> <tr> <td align="right"> <math>~\lambda_3</math> </td> <td align="center"> <math>~\equiv</ma..." current
• 20:4920:49, 12 January 2024 diff hist +58,743 N Appendix/Ramblings/ConcentricEllipsoidalT8Coordinates Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Concentric Ellipsoidal (T8) Coordinates= ==Background== Building on our general introduction to ''Direction Cosines'' in the context of orthogonal curvilinear coordinate systems, and on our previous development of T3 (concentric oblate-spheroidal) and User:Tohline/Appendix/Ramblings/EllipticCylinderCoordinates#T5_Coo..."
• 20:4620:46, 12 January 2024 diff hist +75,160 N Appendix/Ramblings/T6CoordinatesPt3 Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Concentric Ellipsoidal (T6) Coordinates (Part 3)= ==Best Thus Far== ===Part A=== <table border="1" cellpadding="8" align="center"> <tr> <td align="center" colspan="9">'''Direction Cosine Components for T6 Coordinates'''</td> </tr> <tr> <td align="center"><math>~n</math></td> <td align="center"><math>~\lambda_n</math></td> <td align="center"><math>~h_n</math></td> <td align="center"><math>~\frac{\partial \la..." current
• 20:4520:45, 12 January 2024 diff hist +74,807 N Appendix/Ramblings/T6CoordinatesPt2 Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Concentric Ellipsoidal (T6) Coordinates (Part 2)= ==Orthogonal Coordinates== ===Speculation5=== ====Spherical Coordinates==== <table border="0" cellpadding="5" align="center"> <tr> <td align="right"> <math>~r\cos\theta</math> </td> <td align="center"> <math>~=</math> </td> <td align="left"> <math>~z \, ,</math> </td> </tr> <tr> <td align="right"> <math>~r\sin\theta</math> </td> <td align="center">..." current
• 20:4420:44, 12 January 2024 diff hist +41,218 N Appendix/Ramblings/ConcentricEllipsoidalCoordinates Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Concentric Ellipsoidal (T6) Coordinates= ==Background== Building on our general introduction to ''Direction Cosines'' in the context of orthogonal curvilinear coordinate systems, and on our previous development of T3 (concentric oblate-spheroidal) and T5 (concentric e..."
• 20:4220:42, 12 January 2024 diff hist +64,177 N Appendix/Ramblings/EllipticCylinderCoordinates Created page with "<!-- __FORCETOC__ will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Elliptic Cylinder Coordinates= ==Background== Building on our general introduction to ''Direction Cosines'' in the context of orthogonal curvilinear coordinate systems, here we detail the properties of [https://en.wikipedia.org/wiki/Elliptic_cylindrical_coordinates Elliptic Cylinder Coordinates]. First, we pres..." current
• 20:4020:40, 12 January 2024 diff hist +12,660 N Appendix/Ramblings/DirectionCosines Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Direction Cosines= Following [<b><font color="red">MF53</font></b>], a generalized coordinate system consists of a threefold family of surfaces whose equations in terms of Cartesian coordinates are, <math>~\xi_1(x,y,z) = </math> constant, <math>~\xi_2(x,y,z) = </math> constant, and <math>~\xi_3(x,y,z) =</math> constant. The lines of intersection of these surfaces constitute..." current
• 20:3920:39, 12 January 2024 diff hist +17,037 N Appendix/Ramblings/myPhys Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Files on LSU P&A Servers= ==Primary Web== public_html = /opt1/usrlocal/apache2/htdocs/graceland/faculty/tohline = [http://www.phys.lsuedu/faculty/tohline http://www.phys.lsu.edu/faculty/tohline] … ===HOMEPAGE RELEVANT1=== <ul> <li> index.html </li> <li> indexhtv.html: Homepage prior to "accessibility statement" added by htv (Hortensia) </li> <li> inde..." current
• 20:3520:35, 12 January 2024 diff hist +77 Appendix/Ramblings →Ramblings
• 14:3014:30, 12 January 2024 diff hist +59 SSC/Stability/GammaVariation →Lane-Emden in Terms of Entropy
• 14:0214:02, 12 January 2024 diff hist +956 SSC/Stability/GammaVariation →Lane-Emden in Terms of Entropy
• 13:4813:48, 12 January 2024 diff hist +869 SSC/Stability/GammaVariation →Lane-Emden in Terms of Entropy
• 13:3713:37, 12 January 2024 diff hist −110 SSC/Stability/GammaVariation →Lane-Emden in Terms of Entropy

11 January 2024

• 21:0121:01, 11 January 2024 diff hist +844 SSC/Stability/GammaVariation →Lane-Emden in Terms of Entropy
• 20:5120:51, 11 January 2024 diff hist +519 SSC/Stability/GammaVariation →Lane-Emden in Terms of Entropy
• 20:3720:37, 11 January 2024 diff hist +1,993 SSC/Stability/GammaVariation →Lane-Emden in Terms of Entropy
• 20:0220:02, 11 January 2024 diff hist +1,357 SSC/Stability/GammaVariation No edit summary
• 18:0718:07, 11 January 2024 diff hist +323 N Template:EQ SSLaneEmden01 Created page with "<table border=0 cellpadding=2> <tr> <td align="right"> 25px|link=Appendix/EquationTemplates#Traditional_Equations_of_.28Spherical.29_Stellar_Structure </td> <td align="center"> <math>\frac{1}{\xi^2} \frac{d}{d\xi}\biggl( \xi^2 \frac{d\Theta_H}{d\xi} \biggr) = - \Theta_H^n</math> </td> </tr> </table>" current
• 18:0518:05, 11 January 2024 diff hist +316 N Template:EQ SSLaneEmden02 Created page with "<table border=0 cellpadding=2> <tr> <td align="right"> 25px|link=Appendix/EquationTemplates#Traditional_Equations_of_.28Spherical.29_Stellar_Structure </td> <td align="center"> <math>\frac{1}{\xi^2} \frac{d}{d\xi}\biggl( \xi^2 \frac{d\psi}{d\xi} \biggr) = e^{-\psi}</math> </td> </tr> </table>" current

10 January 2024

• 22:2322:23, 10 January 2024 diff hist +91,636 N SSC/Structure/BiPolytropes/Analytic51 Created page with "__FORCETOC__ =BiPolytrope with n_c = 5 and n_e = 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>Eggleton, Faulkner<br />& Cannon (1998)<br /><br />Analytic</b><br />(n_c, n_e) = (5, 1)</font> |} File:CommentButton02.png|right|100px|Comm..."