Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system

Autor(es)

de Oliveira, Vitor M. ^[1] ; Sousa-Silva, Priscilla A. ^[2] ; Caldas, Ibere L. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, USP, Inst Phys, Rua Matao 1371, Edif Basilio Jafet, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil

^[2] Sao Paulo State Univ, UNESP, Ave Prof Isette Correa Fontao 505, BR-13876750 Sao Joao Da Boa Vista, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY; v. 132, n. 11-12 DEC 2020.
• Citações Web of Science: 0

Resumo

In this work, we investigate the Earth-Moon system, as modeled by the planar circular restricted three-body problem, and relate its dynamical properties to the underlying structure associated with specific invariant manifolds. We consider a range of Jacobi constant values for which the neck around the Lagrangian point L1 is always open, but the orbits are bounded due to Hill stability. First, we show that the system displays three different dynamical scenarios in the neighborhood of the Moon: two mixed ones, with regular and chaotic orbits, and an almost entirely chaotic one in between. We then analyze the transitions between these scenarios using the monodromy matrix theory and determine that they are given by two specific types of bifurcations. After that, we illustrate how the phase space configurations, particularly the shapes of stability regions and stickiness, are intrinsically related to the hyperbolic invariant manifolds of the Lyapunov orbits around L1 and also to the ones of some particular unstable periodic orbits. Lastly, we define transit time in a manner that is useful to depict dynamical trapping and show that the traced geometrical structures are also connected to the transport properties of the system. (AU)

• Processo FAPESP: 18/03211-6 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Modalidade de apoio: Auxílio à Pesquisa - Temático