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A numerical criterion evaluating the robustness of planetary architectures; applications to the υ Andromedæ system

Published online by Cambridge University Press:  30 May 2022

Ugo Locatelli Open the ORCID record for Ugo Locatelli [Opens in a new window] ,
Chiara Caracciolo ,
Marco Sansottera  and
Mara Volpi
Ugo Locatelli
Affiliation:
Dipartimento di Matematica dell’Università degli Studi di Roma “Tor Vergata”, via della ricerca scientifica 1, 00133 Roma, Italy emails: locatell@mat.uniroma2.it, volpi@mat.uniroma2.it
Chiara Caracciolo
Affiliation:
Dipartimento di Matematica dell’Università degli Studi di Milano, via Saldini 50, 20133 Milano, Italy emails: chiara.caracciolo@unimi.it, marco.sansottera@unimi.it
Marco Sansottera
Affiliation:
Dipartimento di Matematica dell’Università degli Studi di Milano, via Saldini 50, 20133 Milano, Italy emails: chiara.caracciolo@unimi.it, marco.sansottera@unimi.it
Mara Volpi
Affiliation:
Dipartimento di Matematica dell’Università degli Studi di Roma “Tor Vergata”, via della ricerca scientifica 1, 00133 Roma, Italy emails: locatell@mat.uniroma2.it, volpi@mat.uniroma2.it
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Abstract

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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.

Keywords

Planetary SystemsCelestial Mechanics
Type
Research Article
Information
Proceedings of the International Astronomical Union , Volume 15 , Symposium S364: Multi-scale (Time and Mass) Dynamics of Space Objects (Oct 2021) , October 2019 , pp. 65 - 84
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of International Astronomical Union

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