Elastic energy of a deformable earth - General expression

Details Elastic energy of a deformable earth - General expression Elastic energy of a deformable earth - General expression

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53...11g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 1, 1992, p. 11-36.

Astronomy and Astrophysics

Astronomy

4

Earth Mantle, Earth Rotation, Earth Tides, Elastic Deformation, Geodynamics, Hamiltonian Functions, Mathematical Models, Perturbation, Spherical Harmonics

Scientific paper

The production of energy in the earth's elastic mantle as it is deformed by lunar and solar attraction is investigated analytically, extending and refining the results of Getino and Ferrandiz (1991). The derivation is given in detail, and it is shown that the energy expression obtained is valid for any order of the development in spherical harmonics of the perturbing tidal potential and independent of the earth model employed. As an example, the total elastic energy for Model 2 of Takeuchi (1950) is calculated as 5.813114 x 10 exp 49 in cgs units.

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