Author： Barkin Yu. V. Ferrandiz J. M.
Publisher： Taylor & Francis Ltd
ISSN： 1055-6796
Source： Astronomical and Astrophysical Transactions, Vol.23, Iss.4, 2004-08, pp. : 369-384
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Abstract
An analytical expression for the elastic energy of the planet tidal deformations induced by other bodies in the planetary system and by a central star has been obtained. It was shown that the elastic energy is not additive sum of the elastic energies of separate pairs of bodies but contains additional terms of mutual character. In particular, we have obtained a formula for the elastic energy of superposition of lunisolar tides, of which also contains additional terms of mutual character caused by the mutual influence of the Moon and the Sun. These additional terms are remarkable. They are characterized by significant amplitudes of variations and play an important role in the geodynamic life of the Earth. Differential equations of the tidal evolution of planetary systems must describe the effects of mutual transformation of elastic energy to the energy of the translatory-rotary motion of the planet and by the dissipation of tidal energy the transformation to warm energy. The correlation of extreme variations in the elastic tidal energy of the Earth with large earthquakes and moonquakes (in the period 1971-1976) was studied.
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