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Published online by Cambridge University Press: 17 April 2009
A theoretical study is made of the free periods of oscillation of a global layer of inviscid, incompressible fluid under the action of gravitational and Coriolis forces. The leading approximations to the eigenvalues are found to be sensitive to variations in the Froude number and also to the shape of the globe. It is shown that for oceanic and atmospheric motions displaying essentially the same features as the model, it is not sufficient to consider the motion as horizontally non-divergent.