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Mass loss in the plane circular restricted three-body problem: Application to the origin of the Trojans and of Pluto
Authors:Gp Horedt
Institution:Centre for Theoretical Physics, Universitatea Cluj, Romania, Italy
Abstract:The equations of the plane circular restricted three-body problem are integrated in the case of an exponential mass variation of the small primary m for a particle librating around the tringular point and for a satellite of m. For a mass variation by a factor of 20, the librational amplitude of the particle shows no appreciable variation. The satellite escapes towards the regions inside the orbit of m, provided that the mass loss rate is sufficiently slow. Extrapolating these results to the real solar system, it seems unlikely that Jupiter's Trojans are former Jovian sattelites which escaped because of mass loss of proto-Jupiter. It also seems improbable that Pluto escaped from Neptune due to a proto-Neptunian mass loss.
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