TY - JOUR
T1 - Pseudo-heteroclinic connections between bicircular restricted four-body problems
AU - Barrabés, Esther
AU - Gómez, Gerard
AU - Mondelo, Josep M.
AU - Ollè, Mercé
PY - 2016/10/11
Y1 - 2016/10/11
N2 - © 2016 The Authors. 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.
AB - © 2016 The Authors. 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.
KW - Celestial mechanics
KW - Methods: numerical
KW - Planets and satellites: dynamical evolution and stability
U2 - 10.1093/mnras/stw1662
DO - 10.1093/mnras/stw1662
M3 - Article
SN - 0035-8711
VL - 462
SP - 740
EP - 750
JO - Monthly Notices of the Royal Astronomical Society
JF - Monthly Notices of the Royal Astronomical Society
IS - 1
M1 - stw1662
ER -