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Equiangular Spiral Modes of Power Law Disks

1999/07/07 by D. Lynden-Bell, Lynden-Bell, D., J. P. S. Lemos +1
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/9907093

22 pages, Tex, 4 Figures (gif files)

arxiv created 1999/07/07 · arxiv updated 2009/12/01

Abstract

The stability of self-similar power-law disks to non-axially symmetrical disturbances of zero frequency (omega = 0) is discussed. It is established that marginally unstable modes either have (omega = 0) or consist of continua with modes of all frequencies becoming unstable together. A careful study of all modes close to omega = 0 yields a remarkable conclusion.

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