Dynamical history of coplanar two-satellite systems

Physics

Scientific paper

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Earth Orbits, Earth-Moon System, Natural Satellites, Orbital Mechanics, Planetary Evolution, Three Body Problem, Celestial Mechanics, Coplanarity, Elliptical Orbits, Equations Of Motion, Kepler Laws, Satellite Orbits

Scientific paper

One of the possible early states of the earth-moon system was a system of several large satellites around the earth. The dynamical evolution of coplanar three-body systems is studied; a planet (earth) and two massive satellites (proto-moons) with geocentric orbits of slightly different radii are considered. Such configurations may arise in multiple satellite systems receding from a planet due to tidal friction. The numerical integration of the equations of motion shows that initially circular Keplerian orbits are soon transformed into disturbed elliptic orbits which are intersecting. The life-time of a system of several proto-moons is mainly determined by their tidal interactions with the earth. For conditions which we have considered, the most probable result of the evolution was coalescence of satellites as the consequence of collisions.

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