2 citations · 2 across the 2 of their papers we have counts for
3 papers
Symmetric solutions of the -body problem: a numerical study of Floquet multipliers and Morse indices
Diego Berti, Gian Marco Canneori, Roberto Ciccarelli +3
In this paper, we consider periodic solutions of the -body problem that satisfy symmetry constraints, expressed through invariance under finite group actions. We focus on their…
New solutions for the symmetrical n-body problem through variational approach and optimisation techniques
Roberto Ciccarelli, Margaux Introna, Susanna Terracini +1
Advances in the variational approach to the -body problem have led to significant progress in celestial mechanics, uncovering new types of possible orbits. In this paper, critic…
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…