The evolution of the lunar orbit revisited. I

Physics

Scientific paper

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Elliptical Orbits, Equatorial Orbits, Lunar Orbits, Lunar Tides, Orbit Calculation, Angular Momentum, Differential Equations, Earth Tides, Equations Of Motion, Heuristic Methods, Love Waves, Lunar Evolution, Numerical Integration, Qualitative Analysis, Roche Limit

Scientific paper

In order to derive six first-order differential equations of motion for the moon's angular momentum, the torque acting on the moon due to terrestrial tides is calculated from the tidal interaction potential in the Love number formalism. A qualitative analysis of the trajectories is made. Numerical integrations were also performed, and it was shown that it is quite imaginable that in the past the moon was orbiting in a retrograde way. A close approach to the earth without involving a path crossing the Roche limit is found as a solution of the model.

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