Stability aspects of a family of anisotropic models of elliptical galaxies

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Elliptical Galaxies, Anisotropy, Distribution Functions, Galactic Structure, Many Body Problem, Mass Distribution, Mass To Light Ratios, Stability

Scientific paper

Phase space properties of elliptical galaxies suggested by numerical experiments on dissipationless galaxy formation were used previously as a dynamical constraint in the construction of self-consistent equilibrium models. These quasi-spherical models naturally lead to the R exp 1.4 luminosity law if M/L is assumed to be approximately constant. In this paper, several aspects of the stability of this approach are tested. The overall dynamical stability of the f(infinity) models is confirmed by N-body simulations. Dynamical instability is found only in a region of parameter space where the models display unrealistic properties. The results support the view that the mass distribution in ellipticals, and thus the luminosity law for a constant M/L, is directly related to the properties at large radii of the mass density and pressure anisotropy that are consistent with the picture of galaxy formation via dissipationless collapse.

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