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2016-07

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/119235

Pseudo-heteroclinic connections between bicircular restricted four-body problems

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https://doi.org/10.1093/mnras/stw1662

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.

Subject

Planetes, Mecànica celeste

Subject (English)

Planets, Celestial mechanics

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

BARRABÉS, E., et al. Pseudo-heteroclinic connections between bicircular restricted four-body problems. Monthly Notices of the Royal Astronomical Society. 2016. Vol. 462, num. 1, pags. 740-750. ISSN 0035-8711. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/119235

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