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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 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

© Monthly Notices of the Royal Astronomical Society, 2016, núm. 462, p. 740-750

Oxford University Press (OUP)

Author: Barrabés Vera, Esther
Gómez, Gerard
Mondelo, Josep M.
Ollé Torner, Mercè
Date: 2016
Abstract: 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
Format: application/pdf
Citation: 025580
ISSN: 0035-8711 (versió paper)
1365-2966 (versió electrònica)
Document access: http://hdl.handle.net/10256/12656
Language: eng
Publisher: Oxford University Press (OUP)
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1093/mnras/stw1662
Articles publicats (D-IMA)
Is part of: © Monthly Notices of the Royal Astronomical Society, 2016, núm. 462, p. 740-750
Rights: Tots els drets reservats
Subject: Mecànica celest
Celestial mechanics
Dinàmica estel·lar
Stellar dynamics
Planetes -- Òrbites
Planets -- Orbits
Anàlisi numèrica
Numerical analysis
Sistemes dinàmics diferenciables
Differentiable dynamical systems
Sistemes dinàmics diferenciables
Differentiable dynamical systems
Title: Pseudo-heteroclinic connections between bicircular restricted four-body problems
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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