57 citations · 319 across the 26 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
Exponential stability in the perturbed central force problem
Dario Bambusi, Alessandra Fusé, Marco Sansottera
We consider the spatial central force problem with a real analytic potential. We prove that for all analytic potentials, but the Keplerian and the Harmonic ones, the Hamiltonian fu…
Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability into the light of Kolmogorov and Nekhoroshev theories
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We investigate the long-time stability of the Sun-Jupiter-Saturn-Uranus system by considering a planar secular model, that can be regarded as a major refinement of the approach fir…
On the convergence of an algorithm constructing the normal form for lower dimensional elliptic tori in planetary systems
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We give a constructive proof of the existence of lower dimensional elliptic tori in nearly integrable Hamiltonian systems. In particular we adapt the classical Kolmogorov's normali…