2 citations · 2 across the 4 of their papers we have counts for
4 papers
A Lagrangian framework for canonical analysis for the Holst model with
Roberto Ciccarelli, Lorenzo Fatibene
We perform a canonical analysis of the Holst model for General Relativity, within the framework laid out in arXiv:2401.07307 and arXiv:2010.07725, distinguishing our approach by se…
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…