23 citations · 58 across the 9 of their papers we have counts for
8 papers · 1 filter
Semi-analytical estimates for the orbital stability of Earth's satellites
Irene De Blasi, Alessandra Celletti, Christos Efthymiopoulos
Normal form stability estimates are a basic tool of Celestial Mechanics for characterizing the long-term stability of the orbits of natural and artificial bodies. Using high-order…
KAM theory for some dissipative systems
Renato Calleja, Alessandra Celletti, Rafael de la Llave
Dissipative systems play a very important role in several physical models, most notably in Celestial Mechanics, where the dissipation drives the motion of natural and artificial sa…
KAM estimates for the dissipative standard map
Renato Calleja, Alessandra Celletti, Rafael de la Llave
From the beginning of KAM theory, it was realized that its applicability to realistic problems depended on developing quantitative estimates on the sizes of the perturbations allow…
Whiskered KAM Tori of Conformally Symplectic Systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
We investigate the existence of whiskered tori in some dissipative systems, called \sl conformally symplectic \rm systems, having the property that they transform the symplectic fo…
Existence of whiskered KAM tori of conformally symplectic systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
We study the existence of whiskered tori in a family of conformally symplectic maps depending on parameters . Whiskered tori are tori on which the motion is a rotation, bu…
Hill four-body problem with oblate tertiary: an application to the Sun-Jupiter-Hektor-Skamandrios system
Jaime Burgos-Garcia, Alessandra Celletti, Catalin Gales +2
We consider a restricted four-body problem with a precise hierarchy between the bodies: two point-mass bigger bodies, a smaller one with oblate shape, and an infinitesimal body in…