Difference between revisions of "User:Tohline/Apps/RotatingPolytropes"

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===Differential Rotation===
===Differential Rotation===


* [https://ui.adsabs.harvard.edu/abs/1933MNRAS..93..390C/abstract S. Chandrasekhar (1933)], MNRAS, 93, 390
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The purpose of this paper is <font color="green">&hellip; to extend Emden's [work] to the case of rotating gas spheres which in their non-rotating states have polytropic distributions described by the s-called Eden functions.</font>
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* [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1082C/abstract S. Chandrasekhar &amp; N. R. Lebovitz (1962)], ApJ, 136, 1082
* [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1082C/abstract S. Chandrasekhar &amp; N. R. Lebovitz (1962)], ApJ, 136, 1082
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<font color="green">If one ''assumes'' that the mass is distributed uniformly, the equilibrium configurations are the well-known Maclaurin spheroids.  This paper will be devoted to finding the oscillation frequencies of the Maclaurin spheroids.</font>
<font color="green">The oscillations of slowly rotating polytopes are treated in</font> this paper.  The initial equilibrium configurations are constructed as in Chandrasekhar (1933).
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* [https://ui.adsabs.harvard.edu/abs/1973ApJ...180..171O/abstract J. P. Ostriker &amp; P. Bodenheimer (1973)], ApJ, 155, 987 [Part III]
* [https://ui.adsabs.harvard.edu/abs/1973ApJ...180..171O/abstract J. P. Ostriker &amp; P. Bodenheimer (1973)], ApJ, 155, 987 [Part III]

Revision as of 04:36, 16 June 2019

Rotationally Flattened Polytropes

Whitworth's (1981) Isothermal Free-Energy Surface
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Example Equilibrium Configurations

Reviews

Uniform Rotation

 

If one assumes that the mass is distributed uniformly, the equilibrium configurations are the well-known Maclaurin spheroids. This paper will be devoted to finding the oscillation frequencies of the Maclaurin spheroids.

Differential Rotation

 

The purpose of this paper is … to extend Emden's [work] to the case of rotating gas spheres which in their non-rotating states have polytropic distributions described by the s-called Eden functions.

 

The oscillations of slowly rotating polytopes are treated in this paper. The initial equilibrium configurations are constructed as in Chandrasekhar (1933).

See Also


Whitworth's (1981) Isothermal Free-Energy Surface

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