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Analytical Results for Distributions Functions and Gravitational Potential for 3D and 2D Stellar Systems

Abstract : After general considerations on the properties of distribution functions (DF) for steady state stellar systems, I will talk about the choice of the DF. In the 3D gravitational context, I deal with a very old Chandrasekhar's conjecture (1942): What are the properties of a stellar system which DF depends only on the mean particle energy E (The inverse but unphysical problem is trivial), and I will use a rigourous theorem from Gidas, Ni and Nirenberg, 1981 to answer. In the 2D gravitational context, I will present a recent work (Aly and Perez, 1999) in which we obtain DF and gravitational potential for an unbounded system from thermodynamical consideration. An application of such a potential to orbits in thin stellars disks will be presented.
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https://hal.archives-ouvertes.fr/hal-01141487
Contributor : Jérôme Perez Connect in order to contact the contributor
Submitted on : Monday, April 13, 2015 - 10:22:43 AM
Last modification on : Friday, December 3, 2021 - 11:34:08 AM

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Jérôme Perez. Analytical Results for Distributions Functions and Gravitational Potential for 3D and 2D Stellar Systems. International Conference of the Astronomische Gesellschaft, R. Spurzem, Mar 2000, Heidelberg, Germany. ⟨hal-01141487⟩

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