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

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorde Oliveira, Vitor M.-
Autor(es): dc.creatorSousa-Silva, Priscilla A. [UNESP]-
Autor(es): dc.creatorCaldas, Iberê L.-
Data de aceite: dc.date.accessioned2022-02-22T00:44:33Z-
Data de disponibilização: dc.date.available2022-02-22T00:44:33Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2020-11-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s10569-020-09989-x-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/205519-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/205519-
Descrição: dc.descriptionIn 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.-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionInstitute of Physics USP - University of São Paulo, Rua do Matão, 1371 - Edif. Basílio Jafet, Cidade Universitária-
Descrição: dc.descriptionUNESP - São Paulo State University, Avenida Professora Isette Corrêa Fontão, 505, Jardim das Flores-
Descrição: dc.descriptionUNESP - São Paulo State University, Avenida Professora Isette Corrêa Fontão, 505, Jardim das Flores-
Descrição: dc.descriptionFAPESP: 2018/03211-6-
Idioma: dc.languageen-
Relação: dc.relationCelestial Mechanics and Dynamical Astronomy-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectChaos-
Palavras-chave: dc.subjectInvariant manifolds-
Palavras-chave: dc.subjectRestricted three-body problem-
Título: dc.titleOrder-chaos-order and invariant manifolds in the bounded planar Earth–Moon system-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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