50 citations · 456 across the 38 of their papers we have counts for
40 papers
The dynamics around the collinear points of the elliptic three-body problem: A normal form approach
Alessandra Celletti, Christoph Lhotka, Giuseppe Pucacco
We study the dynamics of the collinear points in the planar, restricted three-body problem, assuming that the primaries move on an elliptic orbit around a common barycenter. The eq…
Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps
Adrian P. Bustamante, Alessandra Celletti, Christoph Lhotka
We study the breakdown of rotational invariant tori in 2D and 4D standard maps by implementing three different methods. First, we analyze the domains of analyticity of a torus with…
Accurate computations up to break-down of quasi-periodic attractors in the dissipative spin-orbit problem
Renato Calleja, Alessandra Celletti, Joan Gimeno +1
We consider a Celestial Mechanics model: the spin-orbit problem with a dissipative tidal torque, which is a singular perturbation of a conservative system. The goal of this paper i…
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…