Models of galaxies with stackel’s potential
Abstract
In this paper a new family of rotationally symmetric models of mass distribution in a stellar system is proposed. The potential of this family is of St¨ackel’s type. For this potential a quadratic in the velocity integral of motion exist, hence the velocity distribution in such models can be triaxial. In this paper the generalized isothermal potential is considered and a self-gravitating model has been constructed by Kuzmin G. G. (1956). Equidensities and the density distribution in the equatorial plane and on the axis of symmetry are presented. The limiting cases (when the potential in the equatorial plane corresponds to the models of Schuster—Plummer and Jaffe) are considered. Equidensities and the density run in the equatorial plane and on axis of symmetry are presented. The asymptotes of the density periphery of the model was studied. Refs 11. Figs 6.
Keywords:
models of galaxies, mass distribution, third integral of motion, Stackel’s potential
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
