Stellar hydrodynamics of thin disk galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Rotation, Galactic Structure, Hydrodynamic Equations, Stellar Motions, Boltzmann Transport Equation, Interstellar Gas, Rotating Disks, Vibration Mode

Scientific paper

A closed system of six stellar hydrodynamic equations is derived for describing the dynamics of perturbed motions of thin disk galaxies in which the motion is primarily circular. These hydrodynamic equations can be solved exactly in the special case of the uniformly rotating Maclaurin disk. This solution is consistent with Kalnajs's exact solution of the collisionless Boltzmann equation for this disk, and describes the important barlike modes exactly. More generally, the stellar hydrodynamic equations provide a feasible method for calculating large-scale modes of oscillation of disk galaxies, and help elucidate the differences between stellar and gaseous disks.

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