Difference between revisions of "User:Tohline/Apps/Tori/Polytropic"

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=References=
=References=
* [http://adsabs.harvard.edu/abs/2016AJ....152...35F T. Fukushima (2016, AJ, 152, article id. 35, 31 pp.)] &#8212; ''Zonal Toroidal Harmonic Expansions of External Gravitational Fields for Ring-like Objects''
* [http://adsabs.harvard.edu/abs/2016ApJ...829...45K W.-T. Kim &amp; S. Moon (2016, ApJ, 829, article id. 45, 22 pp.)] &#8212; ''Equilibrium Sequences and Gravitational Instability of Rotating Isothermal Rings''
* [http://adsabs.harvard.edu/abs/2006IJMPB..20.3113C P. H. Chavanis (2006, International Journal of Modern Physics B, 20, 3113 - 3198)] &#8212; ''Phase Transitions in Self-Gravitating Systems''
* [http://adsabs.harvard.edu/abs/2001A%26A...375.1091L M. Lombardi &amp; G. Bertin (2001, Astronomy &amp; Astrophysics, 375, 1091 - 1099)] &#8212; ''Boyle's Law and Gravitational Instability''
* [http://adsabs.harvard.edu/abs/1994ApJ...420..247W J. W. Woodward, J. E. Tohline, &amp; I. Hachisu (1994, ApJ, 420, 247 - 267)] &#8212; ''The Stability of Thick, Self-Gravitating Disks in Protostellar Systems''
* [http://adsabs.harvard.edu/abs/1991ApJ...374..610B I. Bonnell &amp; P. Bastien (1991, ApJ, 374, 610 - 622)] &#8212; ''The Collapse of Cylindrical Isothermal and Polytropic Clouds with Rotation''
* [http://adsabs.harvard.edu/abs/1990ApJ...361..394T J. E. Tohline &amp; I. Hachisu (1990, ApJ, 361, 394 - 407)] &#8212; ''The Breakup of Self-Gravitating Rings, Tori, and Thick Accretion Disks''
* [http://adsabs.harvard.edu/abs/1988A%26A...200..127S F. Schmitz (1988, Astronomy &amp; Astrophysics, 200, 127 - 134)] &#8212; ''Equilibrium Structures of Differentially Rotating Self-Gravitating Gases''
* [http://adsabs.harvard.edu/abs/1985Ap%26SS.109...45V P. Veugelen (1985, Astrophysics &amp; Space Science, 109, 45 - 55)] &#8212; ''Equilibrium Models of Differentially Rotating Polytropic Cylinders''
* [http://adsabs.harvard.edu/abs/1984MNRAS.208..279A M. A. Abramowicz, A. Curir, A. Schwarzenberg-Czerny, &amp; R. E. Wilson (1984, MNRAS, 208, 279 - 291)] &#8212; ''Self-Gravity and the Global Structure of Accretion Discs''
* [http://adsabs.harvard.edu/abs/1983A%26A...119..109B P. Bastien (1983, Astronomy &amp; Astrophysics, 119, 109 - 116)] &#8212; ''Gravitational Collapse and Fragmentation of Isothermal, Non-Rotating, Cylindrical Clouds''
* [http://adsabs.harvard.edu/abs/1980ApJ...236..160T J. E. Tohline (1980, ApJ, 236, 160 - 171)] &#8212; ''Ring Formation in Rotating Protostellar Clouds''
* [http://adsabs.harvard.edu/abs/1980ApJ...236..160T J. E. Tohline (1980, ApJ, 236, 160 - 171)] &#8212; ''Ring Formation in Rotating Protostellar Clouds''
* [http://adsabs.harvard.edu/abs/1978MNRAS.184..709K J. Katz &amp; D. Lynden-Bell (1978, MNRAS, 184, 709 - 712)] &#8212; ''The Gravothermal Instability in Two Dimensions''
* [http://adsabs.harvard.edu/abs/1976ApJ...207..736H C. J. Hansen, M. L. Aizenman, &amp; R. L. Ross (1976, ApJ, 207, 736 - 744)] &#8212; ''The Equilibrium and Stability of Uniformly Rotating, Isothermal Gas Cylinders''
* [http://adsabs.harvard.edu/abs/1964ApJ...140.1056O J. Ostriker (1964, ApJ, 140, 1056)] &#8212; ''The Equilibrium of Polytropic and Isothermal Cylinders''
* [http://adsabs.harvard.edu/abs/1964ApJ...140.1056O J. Ostriker (1964, ApJ, 140, 1056)] &#8212; ''The Equilibrium of Polytropic and Isothermal Cylinders''
* [http://adsabs.harvard.edu/abs/1964ApJ...140.1067O J. Ostriker (1964, ApJ, 140, 1067)] &#8212; ''The Equilibrium of Self-Gravitating Rings''
* [http://adsabs.harvard.edu/abs/1964ApJ...140.1529O J. Ostriker (1964, ApJ, 140, 1529)] &#8212; ''On the Oscillations and the Stability of a Homogeneous Compressible Cylinder''
* [http://adsabs.harvard.edu/abs/1965ApJS...11..167O J. Ostriker (1965, ApJ Supplements, 11, 167)] &#8212; ''Cylindrical Emden and Associated Functions''
* [http://adsabs.harvard.edu/abs/1942ApJ....95...88R Gunnar Randers (1942, ApJ, 95, 88)] &#8212; ''The Equilibrium and Stability of Ring-Shaped 'barred SPIRALS'.''


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Latest revision as of 19:47, 10 August 2017

Self-Gravitating Polytropic Tori

Whitworth's (1981) Isothermal Free-Energy Surface
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Whitworth's (1981) Isothermal Free-Energy Surface

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