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math.DS2025
On the Birkhoff conjecture for Kepler billiards
Stefano Baranzini, Vivina L. Barutello, Irene De Blasi +1
We investigate the integrability of Kepler billiards-mechanical billiard systems in which a particle moves under the influence of a Keplerian potential and reflects elastically at…
math.DS2024
Equivariant optimisation for the gravitational -body problem: a computational factory of symmetric orbits
Vivina Barutello, Mattia G. Bergomi, Gian Marco Canneori +4
In this paper we present \texttt{SymOrb.jl}, a software which combines group representation theory and variational methods to provide numerical solutions of singular dynamical syst…
math.DS2024
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…