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An Explanation of the Polar Motion by a Rigid Core-Mantle Model

Published online by Cambridge University Press:  27 June 2016

Yoshio Kubo*
Affiliation:
Hydrographic Department, Tokyo, Japan

Abstract

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The Earth with a rigid core and a rigid mantle is considered and a recovering force is assumed between the constituents.

The equations of motion in canonical form are derived in terms of the Andoyer's variables. Applying the perturbation theory, the phenomenon of the polar motion is investigated.

The polar motion obtained with this model is a circular motion of the rotational axis on the mantle's surface with its radius gradually changing.

Type
Research Article
Copyright
Copyright © Reidel 1972 

References

Andoyer, H.: 1926, Mécanique Céleste, Gauthier-Villars, Paris, T. II, p. 357.Google Scholar