Planetary orbits in the elliptic restricted problem. I - The Alpha Centauri system

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Orbit Perturbation, Orbital Mechanics, Planetary Orbits, Three Body Problem, Centaurus Constellation, Elliptical Orbits

Scientific paper

Numerical simulations are made within the frame of the elliptic plane restricted three-body problem, in order to search if stable orbits exist for planets around one of the two components in double stars. The α Cen system is investigated here. Large stable planetary orbits, already known to exist through a systematic exploration of the circular model and for the Sun-Jupiter elliptic case, are found to exist around α Cen A and α Cen B up to distances from each star of the order of more than half the binary's periastron separation.

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