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23:52, 12 January 2024 Joel2 talk contribs created page Template:Yabushita74full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974MNRAS.167...95Y/abstract S. Yabushita (1974, MNRAS, Vol. 167, pp. 95 - 102)]")
23:52, 12 January 2024 Joel2 talk contribs created page Template:Yabushita74figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1974MNRAS.167...95Y/abstract S. Yabushita (1974)] ''On the Analogy Between Neutron Star Models and Isothermal Gas Spheres and their General Relativistic Instability'' Monthly Notices of the Royal Astronomical Society, Vol. 167, pp. 95 - 102")
23:51, 12 January 2024 Joel2 talk contribs created page Template:Yabushita74 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974MNRAS.167...95Y/abstract Yabushita (1974)]")
23:49, 12 January 2024 Joel2 talk contribs created page Template:Wong74hereafter (Created page with "Wong74")
23:48, 12 January 2024 Joel2 talk contribs created page Template:Wong74full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974ApJ...190..675W/abstract C. -Y. Wong (1974, ApJ, Vol. 190, pp. 675 - 694)]")
23:47, 12 January 2024 Joel2 talk contribs created page Template:Wong74figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1974ApJ...190..675W/abstract C. -Y. Wong (1974)] ''Toroidal Figures of Equilibrium'' The Astrophysical Journal, Vol. 190, pp. 675 - 694")
23:47, 12 January 2024 Joel2 talk contribs created page Template:Wong74 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974ApJ...190..675W/abstract Wong (1974)]")
23:44, 12 January 2024 Joel2 talk contribs created page Template:VH74hereafter (Created page with "VH74")
23:44, 12 January 2024 Joel2 talk contribs created page Template:VH74full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974A%26A....33..195V/abstract Y. P. Viala & Gp. Horedt (1974, Astron. & Ap., Vol. 33, pp. 195 - 202)]")
23:43, 12 January 2024 Joel2 talk contribs created page Template:VH74figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1974A%26A....33..195V/abstract Y. P. Viala & Gp. Horedt (1974)] ''Polytropic Sheets, Cylinders and Spheres with Negative Index'' Astronomy & Astrophysics, Vol. 33, pp. 195 - 202")
23:42, 12 January 2024 Joel2 talk contribs created page Template:VH74 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974A%26A....33..195V/abstract Viala & Horedt (1974)]")
23:40, 12 January 2024 Joel2 talk contribs created page Template:Lebovitz74hereafter (Created page with "Lebovitz74")
23:39, 12 January 2024 Joel2 talk contribs created page Template:Lebovitz74full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974ApJ...190..121L/abstract N. R. Lebovitz (1974, ApJ, Vol. 190, pp. 121 - 130)]")
23:38, 12 January 2024 Joel2 talk contribs created page Template:Lebovitz74figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1974ApJ...190..121L/abstract N. R. Lebovitz (1974)] ''The Fission Theory of Binary Stars, II. Stability to Third-Harmonics Disturbances'' The Astrophysical Journal, Vol. 190, pp. 121 - 130")
23:37, 12 January 2024 Joel2 talk contribs created page Template:Lebovitz74 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974ApJ...190..121L/abstract Lebovitz (1974)]")
23:29, 12 January 2024 Joel2 talk contribs created page Template:B-KB74hereafter (Created page with "B-KB74")
23:29, 12 January 2024 Joel2 talk contribs created page Template:B-KB74full (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974A%26A....31..391B/abstract G. S. Bisnovatyi-Kogan & S. I. Blinnikov (1974, Astron. & Astrophy., Vol. 31, pp. 391 - 404)]")
23:28, 12 January 2024 Joel2 talk contribs created page Template:B-KB74figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1974A%26A....31..391B/abstract G. S. Bisnovatyi-Kogan & S. I. Blinnikov (1974)] ''Static Criteria for Stability of Arbitrarily Rotating Stars'' Astronomy & Astrophysics, Vol. 31, pp. 391 - 404")
23:27, 12 January 2024 Joel2 talk contribs created page Template:B-KB74 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1974A%26A....31..391B/abstract Bisnovatyi-Kogan & Blinnikov (1974)]")
23:25, 12 January 2024 Joel2 talk contribs created page Template:Wong73hereafter (Created page with "Wong73")
23:25, 12 January 2024 Joel2 talk contribs created page 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)]")
23:24, 12 January 2024 Joel2 talk contribs created page Template:Wong73figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1973AnPhy..77..279W/abstract C. Y. Wong (1973)] ''Toroidal and Spherical Bubble Nuclei'' Annals of Physics, Vol. 77, issue 1, pp. 279 - 353")
23:23, 12 January 2024 Joel2 talk contribs created page Template:Wong73 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1973AnPhy..77..279W/abstract Wong (1973)]")
23:21, 12 January 2024 Joel2 talk contribs created page Template:BO73hereafter (Created page with "BO73")
23:21, 12 January 2024 Joel2 talk contribs created page 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)]")
23:20, 12 January 2024 Joel2 talk contribs created page Template:BO73figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1973ApJ...180..159B/abstract P. Bodenheimer & J. P. Ostriker (1973)] ''Rapidly Rotating Stars. VIII. Zero-Viscosity Polytropic Sequences'' The Astrophysical Journal, Vol. 180, pp. 159 - 170")
23:19, 12 January 2024 Joel2 talk contribs created page Template:BO73 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1973ApJ...180..159B/abstract Bodenheimer & Ostriker (1973)]")
23:17, 12 January 2024 Joel2 talk contribs created page Template:Bardeen71hereafter (Created page with "Bardeen71")
23:17, 12 January 2024 Joel2 talk contribs created page 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)]")
23:16, 12 January 2024 Joel2 talk contribs created page Template:Bardeen71figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1971ApJ...167..425B/abstract J. M. Bardeen (1971)] ''A Reexamination of the Post-Newtonian Maclaurin Spheroids'' The Astrophysical Journal, Vol. 167, pp. 425 - 446")
23:15, 12 January 2024 Joel2 talk contribs created page Template:Bardeen71 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1971ApJ...167..425B/abstract Bardeen (1971)]")
23:13, 12 January 2024 Joel2 talk contribs created page Template:VdBorght70hereafter (Created page with "VdBorght70")
23:13, 12 January 2024 Joel2 talk contribs created page 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)]")
23:12, 12 January 2024 Joel2 talk contribs created page Template:VdBorght70figure (Created page with "[https://ui.adsabs.harvard.edu/abs/1970PASA....1..325V/abstract R. Van der Borght (1970)] ''Adiabatic Oscillations of Stars'' Proceedings of the Astronomical Society of Australia, Vol. 1, Issue 7, pp. 325 - 326")
23:11, 12 January 2024 Joel2 talk contribs created page Template:VdBorght70 (Created page with "📚 [https://ui.adsabs.harvard.edu/abs/1970PASA....1..325V/abstract Van der Borght (1970)]")
22:42, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/T3Integrals (Created page with "__FORCETOC__  =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>...")
21:40, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/PPToriPt1A (Created page with "__FORCETOC__  =Stability Analyses of PP Tori= [Comment by J. E. Tohline on 24 May 2016] 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...")
21:34, 12 January 2024 Joel2 talk contribs created page Apps/WoodwardTohlineHachisu94 (Created page with "__FORCETOC__  =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;" |Thick Accretion Disks (WTH94) |} [http://adsabs.harvard.edu/abs/1994ApJ...420..247W J. W. Woodward, J. E. Tohli...")
21:33, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/HadleyAndImamuraSupplementaryDatabase (Created page with "__FORCETOC__  =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...")
21:21, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/AzimuthalDistortions (Created page with "__FORCETOC__  =Analyzing Azimuthal Distortions= [Comment by J. E. Tohline on 24 May 2016] 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...")
21:20, 12 January 2024 Joel2 talk contribs created page File:PermissionsRectYellow.png
21:20, 12 January 2024 Joel2 talk contribs uploaded File:PermissionsRectYellow.png
20:58, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/ToHadleyAndImamura (Created page with "__FORCETOC__  =Summary for Hadley & Imamura= [Comment by J. E. Tohline on 24 May 2016] 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...")
20:56, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/SphericalWaveEquation (Created page with "__FORCETOC__   =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...")
20:55, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/T1Coordinates (Created page with "__FORCETOC__  =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...")
20:53, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/ConcentricEllipsoidalDaringAttack (Created page with "__FORCETOC__  =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...")
20:52, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/ConcentricEllipsoidalT12Coordinates (Created page with "__FORCETOC__  =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...")
20:51, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/T9Coordinates (Created page with "__FORCETOC__  =T9 Coordinates= ==Establish 1st and 3rd 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...")
20:49, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/ConcentricEllipsoidalT8Coordinates (Created page with "__FORCETOC__  =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...")
20:46, 12 January 2024 Joel2 talk contribs created page Appendix/Ramblings/T6CoordinatesPt3 (Created page with "__FORCETOC__  =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...")

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