Stability criteria in real planetary systems

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

Paraty, Rio de Janeiro

Congreso; 44th Annual meeting of the Division on Dynamical Astronomy; 2013

American Astronomical Society

We present results of main existing stability criteria, derived for circular orbits, in real multi-planetary systems. We identified those which appear to better explain the observations, and empirically extend it to eccentric orbits with some success. Our results suggest that mean-motion resonances are indeed at the origin of chaos in the orbital motion, but that the main selection factor appears to be the minimal distance between two bodies and not their semi-major axis. We also derive simple expressions that can be used to put rapid constraints on the stability zones of multi-planetary systems.