Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..51...17g&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 51, no. 1, 1991, p. 17-34.
Astronomy and Astrophysics
Astronomy
20
Earth Mantle, Earth Planetary Structure, Elastic Deformation, Hamiltonian Functions, Kinetic Energy, Mathematical Models, Perturbation Theory, Tides
Scientific paper
The perturbation due to the deformation of the elastic mantle by a tidal body force and due to the centrifugal potential are studied. Two previously defined canonical systems of variables (elastic variables of Euler and Andoyer) are used for building the elastic energy produced by the deformation of the elastic mantle. The general expression of earth's elastic deformation energy of the second order is derived; this expression is independent of the earth model being used. The expression is applied to a particular earth model, and it is found out that the kinetic energy to the order of zero, T0 is 10 exp -13 for the deformation produced by the moon, and 10 exp -14 for that produced by the sun. An approximate analytical integration of the Hamiltonian of rotational motion is obtained, including terms for the deformation-induced perturbation of the kinetic and elastic energy as well as the tidal and centrifugal potentials. Numerical results are presented in tables, and Chandler's period is estimated as 457 days, slightly lower than recent experimental determinations.
Ferrándiz José Manuel
Getino Juan
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