Generalized isochrone models for spherical stellar systems

Kuzmin, G. G.; Veltmann, Ü. I. K.

doi:10.1017/s0074180900123629

Cited by 3 publications

(2 citation statements)

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“…They derived density profiles, Jeans solutions and distribution functions. The results were not well known in the Western literature, but were summarized in English in Kuzmin (1993). However, Kuzmin's main contribution lies elsewhere.…”

Section: Dynamical Models For Galaxiesmentioning

confidence: 95%

Grigori Kuzmin and Stellar Dynamics

de Zeeuw,

van de Ven

2011

Preprint

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Grigori Kuzmin was a very gifted dynamicist and one of the towering figures in the distinguished history of the Tartu Observatory. He obtained a number of important results in relative isolation which were later rediscovered in the West. This work laid the foundation for further advances in the theory of stellar systems in dynamical equilibrium, thereby substantially increasing our understanding of galaxy dynamics.

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Section: Dynamical Models For Galaxiesmentioning

confidence: 95%

Grigori Kuzmin and Stellar Dynamics

de Zeeuw,

van de Ven

2011

Preprint

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“…It can be shown from (21) hypergeometric functions. In particular, when γ = 1, it is a model obtained by Kuzmin and Veltmann (1973) and Hernquist (1990) and its density can be expressed as…”

Section: Anisotropic γ -Modelsmentioning

confidence: 99%

Anisotropic distribution functions for spherical galaxies

Jiang¹,

Ossipkov

2007

Celestial Mech Dyn Astr

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A method is presented for finding anisotropic distribution functions for stellar systems with known, spherically symmetric, densities, which depends only on the two classical integrals of the energy and the magnitude of the angular momentum. It requires the density to be expressed as a sum of products of functions of the potential and of the radial coordinate. The solution corresponding to this type of density is in turn a sum of products of functions of the energy and of the magnitude of the angular momentum. The products of the density and its radial and transverse velocity dispersions can be also expressed as a sum of products of functions of the potential and of the radial coordinate. Several examples are given, including some of new anisotropic distribution functions. This device can be extended further to the related problem of finding two-integral distribution functions for axisymmetric galaxies.Comment: 5 figure

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