Abstract
The form of the series representing the motion of the Moon is presented in the case of the main problem as well as in presence of planetary perturbations and tidal torques. Then, the equations governing the evolution of the lunar orbit are given and an approximate solution for the secular changes of the elliptic elements of the Moon is presented, in which all periodic terms are neglected. However, when there exists a quasi-resonant term that is sufficiently large, this secular solution is no more valid. A simplified set of equations representing such a case is given and discussed. The general properties of the solution are derived. In the actual lunar case, the situation is much more complex, because the long periodic variations of the excentricity of the Earth’s orbit induces large perturbations in the simplified equations. Some numerical results of the latter case are presented.
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© 1985 D. Reidel Publishing Company
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Jean, K. (1985). On the Evolution of the Lunar Orbit. In: Szebehely, V.G. (eds) Stability of the Solar System and Its Minor Natural and Artificial Bodies. NATO ASI Series, vol 154. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5398-7_4
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DOI: https://doi.org/10.1007/978-94-009-5398-7_4
Publisher Name: Springer, Dordrecht
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