Stability criteria for multiplanetary systems

CRISTIAN GIUPPONE, M.H.M. MORAIS, A.C.M. CORREIA

Cordoba

Workshop; FOF 2013; 2013

IATE

We test a crossing orbit stability criterion for eccentric planetary systems, based on Wisdom's criterion of first order mean motion resonance overlap. We show that this criterion fits the stability regions in real exoplanet systems quite well. In addition, we show that elliptical orbits can remain stable even for regions where the apocenter distance of the inner orbit is larger than the pericenter distance of the outer orbit, as long as the initial orbits are aligned.The semi-empirical analytical expressions provided her can be used to put rapid constraints on the stability zones of multi-planetary systems.