Escape dynamics and fractal basin boundaries in the planar Earth-Moon system

Autor(es)

de Assis, Sheila C. ^[1] ; Terra, Maisa O. ^[1]

Afiliação do(s) autor(es)

^[1] Inst Tecnol Aeronaut, Dept Matemat, BR-12228900 Sao Jose Dos Campos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY; v. 120, n. 2, p. 105-130, OCT 2014.
• Citações Web of Science: 25

Resumo

The escape of trajectories of a spacecraft, or comet or asteroid in the presence of the Earth-Moon system is investigated in detail in the context of the planar circular restricted three-body problem, in a scattering region around the Moon. The escape through the necks around the collinear points and as well as the leaking produced by considering collisions with the Moon surface, taking the lunar mean radius into account, were considered. Given that different transport channels are available as a function of the Jacobi constant, four distinct escape regimes are analyzed. Besides the calculation of exit basins and of the spatial distribution of escape time, the qualitative dynamical investigation through Poincar, sections is performed in order to elucidate the escape process. Our analyses reveal the dependence of the properties of the considered escape basins with the energy, with a remarkable presence of fractal basin boundaries along all the escape regimes. Finally, we observe the plentiful presence of stickiness motion near stability islands which plays a remarkable role in the longest escape time behavior. The application of this analysis is important both in space mission design and study of natural systems, given that fractal boundaries are related with high sensitivity to initial conditions, implying in uncertainty between safe and unsafe solutions, as well as between escaping solutions that evolve to different phase space regions. (AU)

• Processo FAPESP: 12/21023-6 - Dinâmica de satélites artificiais
• Beneficiário: Rodolpho Vilhena de Moraes
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 10/18692-8 - Escape e captura em modelos matemáticos de alta dimensão e aplicações em projetos de missões espaciais
• Beneficiário: Maisa de Oliveira Terra
• Linha de fomento: Bolsas no Exterior - Pesquisa