U. Locatelli, Chiara Caracciolo, M. Sansottera, M. Volpi
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A numerical criterion evaluating the robustness of planetary architectures; applications to the υ Andromedæ system
Abstract We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the υ Andromedæ system, by modelling it with a three-body problem. This preliminary study allows us to introduce a natural way to evaluate the robustness of the planetary orbits, which can be very easily implemented in numerical explorations. We apply our criterion to the problem of the choice of a suitable orbital configuration which exhibits strong stability properties and is compatible with the observational data that are available for the υ Andromedæ system itself.