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arXiv · 2202.08616

A numerical criterion evaluating the robustness of planetary architectures; applications to the $\upsilon$ Andromed{\ae} system

Ugo Locatelli·Chiara Caracciolo·Marco Sansottera·Mara Volpi
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Abstract

We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the $\upsilon$ 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 $\upsilon$ Andromed{\ae} system itself.

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Ugo Locatelli, Chiara Caracciolo, Marco Sansottera, Mara Volpi. 2022-02-17. A numerical criterion evaluating the robustness of planetary architectures; applications to the $\upsilon$ Andromed{\ae} system. https://doi.org/10.1017/s1743921322000461

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