Tidal effects in the evolution of natural satellites

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Scientific paper

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Natural Satellites, Planetary Evolution, Planetary Orbits, Tides, Charon, Deimos, Earth-Moon System, Energy Dissipation, Orbital Elements, Phobos, Pluto (Planet)

Scientific paper

The effects of tidal friction in the orbital evolution of natural satellites are considered, and constraints set by tidal effects on the evolution of the earth-moon system, Phobos and Deimos and the Pluto-Charon system are discussed. The energy dissipated by tidal friction is shown to lead eventually to a stable state in a planetary system determined by the initial angular velocities and orbital directions of the planet and satellite(s), with the satellite in a circular equatorial orbit with the same face turned to the planet in the final state of orbital evolution. For the case of the Martian system, results of integrations of satellite motion into the past and future are presented which demonstrate the decrease in the eccentricity and orbital inclination with respect to the Martian equator of Phobos, which may have been captured from an orbit in the plane of the ecliptic or formed by accretion in the Mars equatorial plane, and its eventual fate in a collision with Mars. The effects of tidal dissipation on the history of the inclination of the lunar orbit on the ecliptic, the obliquity of the ecliptic and the eccentricity of the lunar orbit are also illustrated, and the secular acceleration of the moon and the lengthening of the day are noted. Finally, the observed day length on Pluto close to the revolution period of Charon is discussed as an example of the final state of tidal evolution.

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