A STOCHASTIC-MODEL OF THE EARTH-MOON TIDAL EVOLUTION ACCOUNTING FOR CYCLIC VARIATIONS OF RESONANT PROPERTIES OF THE OCEAN - AN ASYMPTOTIC SOLUTION

Citation
Ba. Kagan et Nb. Maslova, A STOCHASTIC-MODEL OF THE EARTH-MOON TIDAL EVOLUTION ACCOUNTING FOR CYCLIC VARIATIONS OF RESONANT PROPERTIES OF THE OCEAN - AN ASYMPTOTIC SOLUTION, Earth, moon, and planets, 66(2), 1994, pp. 173-188
Citations number
17
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Astronomy & Astrophysics","Geosciences, Interdisciplinary
Journal title
ISSN journal
0167-9295
Volume
66
Issue
2
Year of publication
1994
Pages
173 - 188
Database
ISI
SICI code
0167-9295(1994)66:2<173:ASOTET>2.0.ZU;2-C
Abstract
A stochastic model of the Earth-Moon tidal evolution taking into accou nt fluctuating effects of the continental drift is described. The abov e effects caused by alternation of periods of consolidation and disint egration of continents are specified as a combination of cyclic variat ions and superimposed random perturbations of the ocean eigenoscillati on spectrum. The solution is found with use of one-mode and multi-mode resonance approximations. In other words, we assume that the ocean re sponse to the Moon's forcing is due to one or several resonant modes p redominant over all other ocean eigenoscillations. For the multi-mode resonance approximation, the model ensures a proper time scale of the Earth-Moon tidal evolution and qualitative agreement of predicted chan ges in the number of solar days and synodic months per year with paleo ntological and sedimentological data. Moreover, it makes possible fitt ing of model estimates of tidal energy dissipation to those derived fr om global paleotide models for different periods of the Phanerozoic.