Pseudo-heteroclinic connections between bicircular restricted four-body problems

In this paper, we show a mechanism to explain transport from the outer to the inner Solar system. Such a mechanism is based on dynamical systems theory. More concretely, we consider a sequence of uncoupled bicircular restricted four-body problems -BR4BP -(involving the Sun, Jupiter, a planet and an...

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Detalhes bibliográficos
Autores: Barrabés, E., Gómez Muntané, Gerardo, Mondelo González, José María, Ollé, M.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2016
País:España
Recursos:Universidad de Barcelona
Repositório:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/119235
Acesso em linha:https://hdl.handle.net/2445/119235
Access Level:Acceso aberto
Palavra-chave:Planetes
Mecànica celeste
Planets
Celestial mechanics
Descrição
Resumo:In this paper, we show a mechanism to explain transport from the outer to the inner Solar system. Such a mechanism is based on dynamical systems theory. More concretely, we consider a sequence of uncoupled bicircular restricted four-body problems -BR4BP -(involving the Sun, Jupiter, a planet and an infinitesimal mass), being the planet Neptune, Uranus and Saturn. For each BR4BP, we compute the dynamical substitutes of the collinear equilibrium points of the corresponding restricted three-body problem (Sun, planet and infinitesimal mass), which become periodic orbits. These periodic orbits are unstable, and the role that their invariant manifolds play in relation with transport from exterior planets to the inner ones is discussed.