A new experimental formula of satellite distances and its explanation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Celestial Mechanics, Jupiter Satellites, Saturn Satellites, Uranus Satellites, Density Distribution, Distance, Planetary Evolution

Scientific paper

A new empirical formula for the law of satellite distances in the Jupiter, Saturn, and Uranus systems is obtained. The satellites are considered to be formed in the gas-satellitesimal disk around a planet and by aggregation of satellitesimals. Gas is the major component in the disk and its damping may play an important role on the aggregation process. It is proved that a radical small disturbance in the disk could cause gravitational instability and the formation of a series of gas rings with increasing density where satellitesimals easily aggregate.

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