Lidov-Kozai stability regions in the $\alpha$\,Cen system

GIUPPONE C. A.; CORREIA A.C.M.

ASTRONOMY AND ASTROPHYSICS

EDP SCIENCES S A

Lugar: Paris; Año: 2017 vol. 605 p. 124 - 134

0004-6361

The stability of planets in the $alpha$,Centauri,AB stellar system has been studied extensively.However, most studies either focus on the orbital plane of the binary, or consider inclined circular orbits.Here, we numerically investigate the stability of a possible planet in the $alpha$,Centauri,AB binary system for S-type orbits in an arbitrary spatial configuration. In particular, we focus on inclined orbits and explore the stability for different eccentricities and orientation angles.We show that large stable regions are present for very eccentric and inclined orbits, corresponding to libration in the Lidov-Kozai resonance.Our results remain qualitatively the same for any compact binary system.