Evaluation of the maximum anisotropy of the stellar velocity distribution in galaxies

Astronomy and Astrophysics – Astronomy

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Galactic Structure, Stellar Motions, Velocity Distribution, Anisotropy, Dispersing, Distribution Functions, Halos, Membrane Structures, Motion Stability, Oscillations, Perturbation

Scientific paper

Membrane oscillations of disk galaxies are investigated, and the existence of a stability limit on the short-wavelength side is demonstrated. A dispersion relation is derived for long-wavelength perturbations of a collisionless homogeneous plane layer. This relation is used to establish the position of the instability band for a stellar-velocity-distribution anisotropy parameter (alpha) much greater than unity and to trace the gradual disappearance of this band as alpha decreases. An approximate value for the critical (maximum) anisotropy is obtained along with an estimate for the minimum thickness of a stable flat system that is bounded in radius. Analysis of the dispersion relation yields an equation that describes the anisotropic ('hose-pipe') instability which develops under specific conditions. The physical significance of this 'hose-pipe' instability is discussed, and it is shown that the maximum mass of an extended halo can be estimated on the basis of the condition that the 'hose-pipe' instability is absent.

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