A numerical criterion evaluating the robustness of planetary architectures; applications to the $\upsilon$ Andromed{\ae} system
Earth and Planetary Astrophysics
2022-06-08 v1 Mathematical Physics
math.MP
Abstract
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the Andromed{\ae} 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 Andromed{\ae} system itself.
Keywords
Cite
@article{arxiv.2202.08616,
title = {A numerical criterion evaluating the robustness of planetary architectures; applications to the $\upsilon$ Andromed{\ae} system},
author = {Ugo Locatelli and Chiara Caracciolo and Marco Sansottera and Mara Volpi},
journal= {arXiv preprint arXiv:2202.08616},
year = {2022}
}