Gravitational Interaction of Objects Moving in Intersecting Orbits

Computer Science

Scientific paper

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Orbital Evolution, Gravitational Interaction, Trans-Neptunian Objects, Action Spheres Method, Trans-Neptunian Belt

Scientific paper

The evolution of two, three, and one hundred gravitating objects, i.e., material points moving around the Sun in crossing orbits, is investigated numerically, mainly by the action spheres method. It is demonstrated that in the case of three identical objects, maximum eccentricities can exceed those for two like objects by a factor of several tens. Eccentricities of heliocentric orbits of objects moving in a sphere of action are examined to reveal the dependence of their mean variations on the starting data, i.e., masses, eccentricities, and semimajor axes. The results of these examinations and analytical evaluations provide a basis for treating cases, where, in the course of the evolution of a disk comprising many small objects and that comprising a lesser number of bigger objects, the increments of average eccentricities are the same. The obtained results suggest that, due to their gravitational interaction, the possibility of migration of several bodies to Neptune's from the belt beyond the Neptune exists.

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