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 a...

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Detalles Bibliográficos
Autores: Barrabés Vera, Esther|||0000-0002-8448-692X, Gómez, Gerard, Mondelo González, José María|||0000-0002-7135-0599, Ollé Torner, Mercè|||0000-0002-8050-9055
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:221037
Acceso en línea:https://ddd.uab.cat/record/221037
https://dx.doi.org/urn:doi:10.1093/mnras/stw1662
Access Level:acceso abierto
Palabra clave:Bicircular problem
Periodic orbits
Invariant manifolds
Heteroclinic connections
Descripción
Sumario: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.