Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980m%26p....23..185m&link_type=abstract
Moon and the Planets, vol. 23, Oct. 1980, p. 185-201.
Astronomy and Astrophysics
Astronomy
22
Earth Orbits, Earth-Moon System, Gravitational Effects, Lunar Evolution, Two Body Problem, Astronomical Models, Eccentric Orbits, Numerical Integration, Torque, Triton
Scientific paper
A model for the tidal evolution of an isolated two-body system is presented. 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 makes it possible to study the evolution for both the orbital plane and the equatorial plane. The results obtained show that 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 inclinations are dependent on the magnitude of the dissipation in the satellite. Some qualitative results are also investigated for the final behavior of satellites such as Triton and the Galilean satellites.
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