16 citations · 52 across the 6 of their papers we have counts for
6 papers
A numerical criterion evaluating the robustness of planetary architectures; applications to the Andromedæ system
Ugo Locatelli, Chiara Caracciolo, Marco Sansottera +1
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the Andromedæ system, by modelling it with a three-body pr…
Invariant KAM tori: from theory to applications to exoplanetary systems
Ugo Locatelli, Chiara Caracciolo, Marco Sansottera +1
We consider the classical problem of the construction of invariant tori exploiting suitable Hamiltonian normal forms. This kind of approach can be translated by means of the Lie se…
Laplace-like resonances with tidal effects
A. Celletti, E. Karampotsiou, C. Lhotka +2
We generalize the Laplace resonance among three satellites, S1, S2 , and S3, by considering different ratios of the mean-longitude variations. These resonances, which we call Lapla…
Librational KAM tori in the secular dynamics of the Andromedæ planetary system
Chiara Caracciolo, Ugo Locatelli, Marco Sansottera +1
We study the planetary system of ~Andromedæ, considering the three-body problem formed by the central star and the two largest planets, ~And~\emph{c} and $\upsi…
On the 3D secular dynamics of radial-velocity-detected planetary systems
Mara Volpi, Arnaud Roisin, Anne-Sophie Libert
Aims. To date, more than 600 multi-planetary systems have been discovered. Due to the limitations of the detection methods, our knowledge of the systems is usually far from complet…
A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems
Mara Volpi, Ugo Locatelli, Marco Sansottera
The inclinations of exoplanets detected via radial velocity method are essentially unknown. We aim to provide estimations of the ranges of mutual inclinations that are compatible w…