On the capture of some celestial bodies into resonant rotation modes

Mathematics – Probability

Scientific paper

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Capture Effect, Celestial Mechanics, Gravitational Effects, Natural Satellites, Planetary Rotation, Equations Of Motion, Friction Factor, Mercury (Planet), Synchronism, Tides, Venus (Planet)

Scientific paper

The way in which a planet's rotation is affected not only by solar tidal moments but also by tidal moments associated with a satellite of that planet is investigated. Relations between average tidal friction moment under particular synchronization conditions and capture probability of a celestial body into that synchronism are examined, and results are reported for the moonless bodies Venus and Mercury. Tidal dissipation mechanisms, evidence from retrograde satellites, and possibilities of satellites belonging to Venus and Mercury in an earlier epoch are considered.

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