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An Analytical Theory for a Gyrostatic Earth

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Abstract

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.

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References

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© 1997 Springer Science+Business Media Dordrecht

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Molina, R., Vigueras, A. (1997). An Analytical Theory for a Gyrostatic Earth. In: Wytrzyszczak, I.M., Lieske, J.H., Feldman, R.A. (eds) Dynamics and Astrometry of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5534-2_42

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  • DOI: https://doi.org/10.1007/978-94-011-5534-2_42

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6330-2

  • Online ISBN: 978-94-011-5534-2

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