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The oscillations of a viscous gravitating sphere

Published online by Cambridge University Press:  24 October 2008

D. P. McKenzie
Department of Geodesy and Geophysics, Madingley Road, Cambridge


By using a Laplace transformation, a general solution is obtained to the problem of the oscillations and velocity field of a viscous gravitating sphere. Lamb's oscillating solution and Darwin's exponentially decaying solution are derived as asymptotic expressions and their connexion demonstrated. Closed loops of stream lines are a remarkable feature of the flow, and the conditions for their existence are discussed. Asymptotic solutions are also obtained for the oscillations of a Maxwell sphere, and their relation to those of an elastic sphere investigated.

Research Article
Copyright © Cambridge Philosophical Society 1969

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