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Tidal elastic energy in planetary systems and its dynamic role

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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.

Keywords: Earthquakes; Elastic energy; Moonquakes; Superposition; Tides

Document Type: Research Article


Affiliations: 1: Sternberg Astronomical Institute Universitetskij Prospetct 13 Moscow 119992 Russia 2: Alicante University San Visente del Raspeig Alicante 03080 Spain

Publication date: August 1, 2004

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