Published online by Cambridge University Press: 03 August 2017
We examine here the problem of the gravitational instability of a medium in nonuniform rotation. We seek therefore to resolve a problem differing somewhat from that examined by Chandrasekhar and Fricke. We imagine a gaseous medium in rotation in a potential field, ɸ, and consider only the plane problem. In the unperturbed motion, the particles describe circular orbits in uniform motion. We examine the stability against perturbations.
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