11 citations · 12 across the 3 of their papers we have counts for
4 papers
Analytical methods in Celestial Mechanics: satellites' stability and galactic billiards
Irene De Blasi
In this paper, two models of interest for Celestial Mechanics are presented and analysed, using both analytic and numerical techniques, from the point of view of the possible prese…
Exploration of billiards with Keplerian potential
Vivina L. Barutello, Anna Maria Cherubini, Irene De Blasi
We study a class of elliptic billiards with a Keplerian potential inside, considering two cases: a reflective one, where the particle reflects elastically on the boundary, and a re…
Chaotic dynamics in refraction galactic billiards
Vivina L. Barutello, Irene De Blasi, Susanna Terracini
We prove the presence of topological chaos at high internal energies for a new class of mechanical refraction billiards coming from Celestial Mechanics. Given a smooth closed domai…
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…