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Tidal effects in the earth-moon system and the earth's rotation

Analytical expressions for tidal torques induced by a tide-arising planet which perturbs rotation of a nonrigid body are derived. Corresponding expressions both for secular and periodic perturbations of the Euler's angles are given for the case of the earth's rotation. Centennial secular r...

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Bibliographic Details
Published in:Celestial mechanics and dynamical astronomy 1999-09, Vol.75 (1), p.39-66
Main Author: Krasinsky, G A
Format: Article
Language:English
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Summary:Analytical expressions for tidal torques induced by a tide-arising planet which perturbs rotation of a nonrigid body are derived. Corresponding expressions both for secular and periodic perturbations of the Euler's angles are given for the case of the earth's rotation. Centennial secular rates of the nutation angle [theta] and of the earth's angular velocity ω, as well as the centennial logarithmic decrement ν of the Chandler wobble are evaluated: (ProQuest: Formulae and/or non-USASCII text omitted; see image) In the Universal Time (UT) a large out-of-phase (sine) dissipative term with the period 18.6 years and the amplitude 2.3 ms is found. Corrections to nutation coefficients, which presumably have not been taken into account in IAU theory, are given.[PUBLICATION ABSTRACT]
ISSN:0923-2958
1572-9478
DOI:10.1023/A:1008381000993