Nonlinear Single-Armed Spiral Density Waves in Nearly Keplerian Disks

Details Nonlinear Single-Armed Spiral Density Waves in Nearly Keplerian Disks Nonlinear Single-Armed Spiral Density Waves in Nearly Keplerian Disks

1999-05-15

arxiv.org/abs/astro-ph/9905197v1

Astronomy and Astrophysics

Astrophysics

16 pages, 3 figures. Uses mn.sty and mncite.sty. Accepted by MNRAS

Scientific paper

10.1046/j.1365-8711.1999.02764.x

Single-armed, stationary density waves can propagate in very weakly self-gravitating gas disks dominated by a central mass. Examples include circumstellar disks of protostars and molecular disks in galactic nuclei. We explore the linear and nonlinear dynamics of such waves. Variational methods yield nonlinear versions of the dispersion relation, angular momentum flux, and propagation velocity in the tight-winding limit. The pitch angle increases with amplitude until the tight-winding approximation breaks down. We also find a series of nonlinear logarithmic spirals which is exact in the limit of small disk mass and which extends to large pitch angle.

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