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Modelling the Effect of Earth Tides in the Lunar Orbital Motion

Published online by Cambridge University Press:  12 April 2016

J. Derral Mulholland
Affiliation:
Centre d’Etudes et de Recherches Géodynamiques et Astronomiques, Grasse, France
Odile Calame
Affiliation:
Centre d’Etudes et de Recherches Géodynamiques et Astronomiques, Grasse, France

Abstract

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The effect of tidal friction in the lunar orbit is one of the classic examples of ad hoc modelling of an unknown physical phenomenon. The two basic calculational approaches in current use are developed in some detail, and numerical tests and comparisons are presented. Although attention is normally concentrated on the acceleration in orbital longitude produced as a result of terrestrial dissipation, it is shown that the variation in Earth-Moon distance due to Earth tides is far from negligible. A significant, though minor, fraction of this variation is supplied by the radial component of the acceleration, which would exist even in the absence of tidal friction. In fact, this represents almost all the difference in the predictions of the two models.

Type
Part III
Copyright
Copyright © Reidel 1982

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