Abstract
Continuing the study of the rotation of a deformable Earth begun by Getino and Ferrandiz (1990, 1991a, 1991b, 1993, 1994) for an Earth model with an elastic spherical mantle, in this paper on one hand we deal with the effect of the ellipticity, and on the other hand, we include the toroidal solution of the displacement vector. Taking an axis symmetrical, slightly ellipsoidal Earth, the modification due to the ellipticity is introduced into the solution of the displacement vector for both spheroidal and toroidal modes, and, after defining the adequate variables, we give the canonical formulation of the corresponding increase in the kinetic energy.
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Getino, J. Kinetic energy of a non-spherical elastic earth mantle with andoyer variables. Celestial Mech Dyn Astr 61, 21–49 (1995). https://doi.org/10.1007/BF00051687
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DOI: https://doi.org/10.1007/BF00051687