1 citations · 2 across the 7 of their papers we have counts for
8 papers · 1 filter
Scattering Dynamics and Chaotic Motions in a Relativistic Two-Centre Problem
Stefano Baranzini, Gian Marco Canneori
We study the planar relativistic two-centre problem at fixed energy, including a class of perturbations of the Keplerian potential. Up to a reparametrisation of time, the relativis…
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…
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…
Frozen planet orbits for the -electron atom
Stefano Baranzini, Gian Marco Canneori, Susanna Terracini
We seek periodic trajectories of a system of multiple mutually repelling electrons on a half-line, with an attractive nucleus sitting at the origin. We adopt a variational viewpoin…
Mountain pass frozen planet orbits in the helium atom model
Stefano Baranzini, Gian Marco Canneori, Susanna Terracini
We seek frozen planet orbits for the helium atom through an application of the Mountain Pass Lemma to the Lagrangian action functional. Our method applies to a wide class of gravit…
Chaotic phenomena for generalised N-centre problems
Stefano Baranzini, Gian Marco Canneori
We study a class of singular dynamical systems which generalise the classical N-centre problem of Celestial Mechanics to the case in which the configuration space is a Riemannian s…
Symbolic dynamics for the anisotropic -centre problem at negative energies
Vivina Barutello, Gian Marco Canneori, Susanna Terracini
The planar -centre problem describes the motion of a particle moving in the plane under the action of the force fields of fixed attractive centres: \[ \ddot{x}(t)=\sum_{j=1}…
Minimal collision arcs asymptotic to central configurations
Vivina Barutello, Gian Marco Canneori, Susanna Terracini
We are concerned with the analysis of finite time collision trajectories for a class of singular anisotropic homogeneous potentials of degree , with and their lower…