Constraints on the radial-velocity dispersion of stars in the disk of a flat galaxy

Astronomy and Astrophysics – Astronomy

Scientific paper

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Galactic Structure, Radial Velocity, Rotating Disks, Star Distribution, Motion Stability, Stellar Models, Stellar Rotation

Scientific paper

An expression is derived for the radial-velocity dispersion of stars in an inhomogeneous, differentially rotating model stellar disk of finite thickness, which would serve to suppress the instability of arbitrary nonaxisymmetric perturbations. The dispersion relation for small oscillations in the plane of the model is given in the WKB approximation, and expressions for the critical stellar radial-velocity dispersion are presented for factors such as differential rotation, finite thickness, and nonuniformity of disk parameters.

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