Planetary close encounters between Jupiter and about 3000 fictitious minor bodies

Physics

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Jupiter (Planet), Numerical Integration, Orbital Mechanics, Solar Orbits, Three Body Problem, Capture Effect, Celestial Mechanics, Collision Parameters, Encounters, Natural Satellites, Orbit Perturbation, Orbital Elements, Solar System

Scientific paper

Single close encounters between Jupiter and about 3000 hypothetical minor bodies, initially on elliptical orbits, have been studied by computing the evolution of the three-body system sun-Jupiter-object, by means of a numerical method of integration. The fictitious population processed contains almost all the orbits which allow a close approach to the planet. The efficiency of a single encounter in varying the orbital parameters of the objects is found to be generally poor, as is shown by the distributions of the orbital-parameter variations. Collisions and ejections from the solar system on hyperbolic orbits are few; some temporary satellite captures have been recognized. The results show that any attempt to study the close-encounter event by means of two distinct two-body problems is physically meaningless because the midrange perturbations, disregarded in such cases, are very far from being negligible.

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