57 citations · 319 across the 26 of their papers we have counts for
3 papers · 2 filters
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…