57 citations · 302 across the 21 of their papers we have counts for
3 papers · 1 filter
Improved convergence estimates for the Schröder-Siegel problem
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We reconsider the Schröder-Siegel problem of conjugating an analytic map in in the neighborhood of a fixed point to its linear part, extending it to the case of dimens…
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…
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…