Confined chaos and the chaotic angular motion of Atlas, a Saturn’s inner satellite

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorPereira, Lucas S.-
Autor(es): dc.creatorMourão, Daniela C.-
Autor(es): dc.creatorWinter, Othon C.-
Data de aceite: dc.date.accessioned2025-08-21T20:58:40Z-
Data de disponibilização: dc.date.available2025-08-21T20:58:40Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2024-04-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1093/mnras/stae457-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/301022-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/301022-
Descrição: dc.descriptionThe dynamics of the Solar system exhibit inherent chaos and instability. Mathematical tools, such as the maximum Lyapunov characteristic exponent (LCE) and Lyapunov time (TL), play a crucial role in providing a qualitative understanding of chaos within celestial objects, such as asteroids and moonlets. Celestial bodies with relatively small Lyapunov times have garnered significant research interest due to their stable orbits, a phenomenon referred to as stable or confined chaos. Notable examples include Saturn’s satellites: Atlas, with a Lyapunov time on the order of 10 yr, Prometheus, and Pandora. This work aims to study the chaotic behaviour of the Atlas satellite and its relatively small TL. We present a three-dimensional model approach designed to isolate the radial contribution from the LCE and assess its influence within the LCE. Our investigation focuses on the Saturn system, comprising Saturn itself, along with its satellites Atlas, Prometheus, Pandora, and Mimas. To estimate the radial contribution of the LCE, we find the projection of the radial vector of a ghost Atlas (a slightly displaced Atlas) onto the Atlas radial vector, which allows us to calculate the difference between the radial vectors. This methodology enables us to estimate the radial contribution of the LCE and calculate the Lyapunov time. Remarkably, our results demonstrate that orbits remain confined even for integration times exceeding TL. Furthermore, we investigate the temporal behaviour of Atlas’ angular position in its orbit, potentially shedding light on chaotic angular dynamics.-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionGrupo de Dinâmica Orbital and Planetologia São Paulo State University (UNESP), Guaratinguetá-
Descrição: dc.descriptionGrupo de Dinâmica Orbital and Planetologia São Paulo State University (UNESP), Guaratinguetá-
Descrição: dc.descriptionFAPESP: 2016/24561-0-
Descrição: dc.descriptionCNPq: 305210/2018-1-
Formato: dc.format1012-1018-
Idioma: dc.languageen-
Relação: dc.relationMonthly Notices of the Royal Astronomical Society-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectcelestial mechanics-
Palavras-chave: dc.subjectchaos-
Palavras-chave: dc.subjectmethods: numerical-
Palavras-chave: dc.subjectplanets and satellites: dynamical evolution and stability-
Título: dc.titleConfined chaos and the chaotic angular motion of Atlas, a Saturn’s inner satellite-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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