57 citations · 302 across the 21 of their papers we have counts for
21 papers
Secular orbital dynamics of the innermost exoplanet of the -Andromedæ system
Rita Mastroianni, Ugo Locatelli
We introduce a quasi-periodic restricted Hamiltonian to describe the secular motion of a small-mass planet in a multi-planetary system. In particular, we refer to the motion of $\u…
Existence proof of librational invariant tori in an averaged model of HD60532 planetary system
Veronica Danesi, Ugo Locatelli, Marco Sansottera
We investigate the long-term dynamics of HD60532, an extrasolar system hosting two giant planets orbiting in a 3:1 mean motion resonance. We consider an average approximation at or…
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…
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…
Computer-assisted estimates for Birkhoff normal forms
Chiara Caracciolo, Ugo Locatelli
Birkhoff normal forms are commonly used in order to ensure the so called "effective stability" in the neighborhood of elliptic equilibrium points for Hamiltonian systems. From a th…