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Communication Dans Un Congrès Année : 2000

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

Jérôme Perez

Résumé

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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hal-01141487 , version 1 (13-04-2015)

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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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