Large-amplitude waves in a gas disk. I - Stationary periodic waves

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Gas Dynamics, Periodic Variations, Rotating Fluids, Wave Propagation, Amplitudes, Galactic Evolution, Milky Way Galaxy, Nonlinear Equations, Planetary Evolution, Propagation Velocity, Saturn Rings

Scientific paper

The exact nonlinear equation of short-wave perturbations of a rotating gas disk has been solved numerically. Nonlinear periodic waves whose amplitude for fixed propagation velocity is bounded above were obtained. The limiting value of the amplitude increases with increasing wave velocity. The results are used to estimate the parameters of the '3-kpc arm' and the '135-km/sec feature' of the Galaxy and the fine structure of Saturn's rings.

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