Abstract
We numerically investigate the orbital dynamics of a spacecraft, or a comet, or an asteroid in the Pluto-Charon system in a scattering region around Charon using the planar circular restricted three-body problem. The test particle can move in bounded orbits around Charon or escape through the necks around the Lagrangian points \(L_{1}\) and \(L_{2}\) or even collide with the surface of Charon. We explore four of the five possible Hill’s regions configurations depending on the value of the Jacobi constant which is of course related with the total orbital energy. We conduct a thorough numerical analysis on the phase space mixing by classifying initial conditions of orbits and distinguishing between three types of motion: (i) bounded, (ii) escaping and (iii) collisional. In particular, we locate the different basins and we relate them with the corresponding spatial distributions of the escape and collision times. Our results reveal the high complexity of this planetary system. Furthermore, the numerical analysis shows a strong dependence of the properties of the considered basins with the total orbital energy, with a remarkable presence of fractal basin boundaries along all the regimes. Our results are compared with earlier ones regarding the Saturn-Titan planetary system.
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Notes
The set of initial conditions of orbits which lead to a certain final state (escape, collision or bounded motion) is defined as a basin.
Obviously if we numerically integrate these initial conditions we will see that they lead to immediate collision to Charon.
It should be emphasized that when we state that an area is fractal we simply mean that it has a fractal-like geometry without conducting any specific calculations as in Aguirre et al. (2009).
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I would like to express my warmest thanks to the anonymous referee for the careful reading of the manuscript and for all the apt suggestions and comments which allowed us to improve both the quality and the clarity of the paper.
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Zotos, E.E. Orbit classification in the planar circular Pluto-Charon system. Astrophys Space Sci 360, 7 (2015). https://doi.org/10.1007/s10509-015-2523-0
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DOI: https://doi.org/10.1007/s10509-015-2523-0