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Escape dynamics and fractal basins boundaries in the three-dimensional Earth-Moon system

Status Report From: arXiv.org e-Print archive
Posted: Thursday, April 14, 2016

Euaggelos E. Zotos
(Submitted on 12 Apr 2016)

The orbital dynamics of a spacecraft, or a comet, or an asteroid in the Earth-Moon system in a scattering region around the Moon using the three dimensional version of the circular restricted three-body problem is numerically investigated. The test particle can move in bounded orbits around the Moon or escape through the openings around the Lagrange points L1 and L2 or even collide with the surface of the Moon. We explore in detail the first 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 in several two-dimensional types of planes and distinguishing between four types of motion: (i) ordered bounded, (ii) trapped chaotic, (iii) escaping and (iv) collisional. In particular, we locate the different basins and we relate them with the corresponding spatial distributions of the escape and collision times. Our outcomes reveal the high complexity of this planetary system. Furthermore, the numerical analysis suggests a strong dependence of the properties of the considered basins with both the total orbital energy and the initial value of the z coordinate, with a remarkable presence of fractal basin boundaries along all the regimes. Our results are compared with earlier ones regarding the planar version of the Earth-Moon system.

Comments: Published in Astrophysics and Space Science (A&SS) journal. arXiv admin note: text overlap with arXiv:1512.08683, arXiv:1508.05201
Subjects: Earth and Planetary Astrophysics (astro-ph.EP); Chaotic Dynamics (nlin.CD)
Journal reference: A&SS, 2016, vol. 361, 94
DOI: 10.1007/s10509-016-2683-6
Cite as: arXiv:1604.03403 [astro-ph.EP] (or arXiv:1604.03403v1 [astro-ph.EP] for this version)
Submission history
From: Euaggelos E. Zotos
[v1] Tue, 12 Apr 2016 13:37:04 GMT (3848kb,D)
http://arxiv.org/abs/1604.03403

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