57 citations · 319 across the 26 of their papers we have counts for
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math.DS2010★ 25 cited
A Semi-Analytic Algorithm for Constructing Lower Dimensional Elliptic Tori in Planetary Systems
Marco Sansottera, Ugo Locatelli, Antonio Giorgilli
We adapt the Kolmogorov's normalization algorithm (which is the key element of the original proof scheme of the KAM theorem) to the construction of a suitable normal form related t…
math-ph2010★ 36 cited
On the stability of the secular evolution of the planar Sun-Jupiter-Saturn-Uranus system
Marco Sansottera, Ugo Locatelli, Antonio Giorgilli
We investigate the long time stability of the Sun-Jupiter-Saturn-Uranus system by considering the planar, secular model. Our method may be considered as an extension of Lagrange's…