Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..51...35g&link_type=abstract
Celestial Mechanics & Dynamical Astronomy, Volume 51, Issue 1, pp.35-65
Astronomy and Astrophysics
Astronomy
24
Precession, Nutation, Chandler'S Period, Elastic Earth
Scientific paper
In this article an approximate analytical integration is performed of the Hamiltonian corresponding to the rotational motion of an Earth whose elastic mantle is deformed by rotation and lunisolar attraction, using Deprit's perturbation method for the first order. Besides the usual terms, this Hamiltonian includes the perturbation of the kinetic energy and the elastic energy produced with the deformation, as well as their causes, the tidal and the centrifugal potential; these new terms have already been studied for the tidal deformation in previous articles (Getino and Ferrándiz, 1990a, 1990b). The effects of the deformation due to the centrifugal potential are studied in this article, following the same method as that used for the tidal deformation. Numerical tables of the periodic perturbations corresponding to the nutation in obliquity and longitude are obtained. As for the secular effects, a theoretical value of 457 days is obtained for Chandler's period.
Ferrándiz José Manuel
Getino Juan
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