Spheroidal galaxy models with anisotropic stresses

Details Spheroidal galaxy models with anisotropic stresses Spheroidal galaxy models with anisotropic stresses

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.251..213e&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 251, July 15, 1991, p. 213-220. Research supported by S

Astronomy and Astrophysics

Astronomy

7

Astronomical Models, Celestial Mechanics, Distribution Functions, Stellar Motions, Galactic Structure, Oblate Spheroids, Partial Differential Equations, Prolate Spheroids, Stress Tensors, Virial Theorem

Scientific paper

This paper applies a method for finding the kinematical properties of galaxy models without the explicit construction of distribution functions. For any axisymmetric mass density generated by a Stackel potential, an ansatz is introduced for the stress tensor, which enables a unique solution of the equations of stellar hydrodynamics to be deduced. The methods are used to find velocity ellipsoids for oblate and prolate Kuzmin-Kutuzov models. It is found that the velocity ellipsoids can be rounder for flatter systems, which illustrates the limitations of the virial equations.

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