Escape dynamics in the solar system: Applications to small body missions with the rtbp

Resumo

Copyright © 2015 by the American Institute Federation of Aeronautics and Astronautics. Inc. All rights reserved.In this paper, we investigate the process of escape of trajectories in the planar circular restricted three-body problem with a scattering region around the small primary, considering several subsystems of the Solar System. Our main goal is to examine the properties of the escape basins and the fractal properties of their boundaries in systems with practical interest in Astrodynamics. Namely, we consider ten subsystems of the Solar System: Sun-Neptune, Sun-Saturn, Sun-Jupiter, Sun-Earth, Jupiter-Callisto, Saturn-Titan, Pluto-Charon, Earth-Moon, Jupiter-Europe, and Jupiter-Io. The process of escape was analyzed through of necks around of the collinear Lagragian points L\ and Z,2, considering also the leaking produced by collisions with the surface of the smaller primary. Three are the relevant parameters for this investigation, i.e., the mass parameter of the mathematical model, the scaled mean radius of the smaller primary, and the Jacobi Constant. Besides escape basin diagrams and Poincare sections, the spatial distribution of escape time values was investigated to elucidate the escape process. Finally, we briefly discuss the implications of the properties of the boundary basins in the context of modern space mission design and analysis of natural bodies.