Hydrodynamic equations for a disk of stars

Details Hydrodynamic equations for a disk of stars Hydrodynamic equations for a disk of stars

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984azh....61..263c&link_type=abstract

(Astronomicheskii Zhurnal, vol. 61, Mar.-Apr. 1984, p. 263-270) Soviet Astronomy (ISSN 0038-5301), vol. 28, Mar.-Apr. 1984, p. 1

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Disk Galaxies, Galactic Rotation, Hydrodynamic Equations, Stellar Motions, Radial Velocity, Rotating Disks, Wave Propagation

Scientific paper

A closed system of hydrodynamic equations is obtained for a galaxy comprising a thin disk of stars whose random velocities are assumed small compared with their mean velocity. The equations yield an exact solution for nonlinear, stationary barlike waves propagating along a uniformly rotating, self-gravitating disk. The dispersion relation between the wave amplitude and angular velocity is established. The results are compared against the exact kinetic solution.

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