Abstract
We present here a model for the tidal evolution of an isolated two-body system. Equations are derived, including the dissipation in the planet as in the satellite, in a frequency dependent lag model. The set of differential equations obtained is still valid for large eccentricity, as well as for all inclinations. The reference plane chosen enables us to study the evolution for both the orbital plane and the equatorial plane.
The results obtained show the Moon, after having approached the Earth with small variations for the inclination and the eccentricity, exhibits strong increase for the two parameters in the vicinity of the closest approach. In every case the eccentricity tends towards the value 1, whereas the variations of the in clinations are dependent on the magnitude of the dissipation in the satellite.
Some qualitative results are also investigated for the final behaviour of satellites such as Triton and the Galilean satellites.
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Mignard, F. The evolution of the lunar orbit revisited, II. The Moon and the Planets 23, 185–201 (1980). https://doi.org/10.1007/BF00899817
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DOI: https://doi.org/10.1007/BF00899817