23 citations · 70 across the 13 of their papers we have counts for
7 papers · 1 filter
Nekhoroshev estimates for the orbital stability of Earth's satellites
Alessandra Celletti, Irene De Blasi, Christos Efthymiopoulos
We provide stability estimates, obtained by implementing the Nekhoroshev theorem, in reference to the orbital motion of a small body (satellite or space debris) around the Earth. W…
Proper Elements for Space Debris
Alessandra Celletti, Giuseppe Pucacco, Tudor Vartolomei
Proper elements are quasi-invariants of a Hamiltonian system, obtained through a normalization procedure. Proper elements have been successfully used to identify families of astero…
The spin-spin problem in Celestial Mechanics
Alessandra Celletti, Joan Gimeno, Mauricio Misquero
We study the dynamics of two homogeneous rigid ellipsoids subject to their mutual gravitational influence. We assume that the spin axis of each ellipsoid coincides with its shortes…
Laplace-like resonances with tidal effects
A. Celletti, E. Karampotsiou, C. Lhotka +2
We generalize the Laplace resonance among three satellites, S1, S2 , and S3, by considering different ratios of the mean-longitude variations. These resonances, which we call Lapla…
KAM quasi-periodic tori for the dissipative spin-orbit problem
Renato Calleja, Alessandra Celletti, Joan Gimeno +1
We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Celestial Mechanics. We compute the attractors extremely close to the breakdown thr…
Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction
Renato Calleja, Alessandra Celletti, Joan Gimeno +1
We consider the dissipative spin-orbit problem in Celestial Mechanics, which describes the rotational motion of a triaxial satellite moving on a Keplerian orbit subject to tidal fo…