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An Analytical Theory for a Gyrostatic Earth

Published online by Cambridge University Press:  12 April 2016

R. Molina  and
A. Vigueras
R. Molina
Affiliation:
Depto. de Matemática Aplicada y Estadistica, Univ. Murcia Cartagena, Spain
A. Vigueras
Affiliation:
Depto. de Matemática Aplicada y Estadistica, Univ. Murcia Cartagena, Spain

Abstract

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In this paper, we consider the problem of the rotation of the Earth, using a stationary triaxial gyrostat as a model. The problem is formulated by means of dimensionless canonical variables of Serret-Andoyer, referred to the mean ecliptic of date, in a similar way to Kinoshita (1977). We choose the constant components of the gyrostatic momentum in such a way that the period of the polar motion corresponds to Chandler’s period. Finally, the problem is integrated by means of Deprit’s perturbation method.

Type
Rotation of Solar System Objects
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 307 - 312
Copyright
Copyright © Kluwer 1997

References

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