Carlos Garc'ia-Azpeitia

collaborators

3 papers

math.DS2026

Platonic constellations of periodic motions in the $(n + 1)$ -body problem

Kevin Constantineau, Carlos García-Azpeitia, Jean-Philippe Lessard

We study the spatial $(n + 1)$ -body problem formed by one heavy central mass together with $n$ equal masses placed on a single orbit of a polyhedral rotation group $H \in {T, O, I}$ , s…

math.DS2021

Spatial relative equilibria and periodic solutions of the Coulomb $(n + 1)$ -body problem

Kevin Constantineau, Carlos García-Azpeitia, Jean-Philippe Lessard

We study a classical model for the atom that considers the movement of $n$ charged particles of charge $- 1$ (electrons) interacting with a fixed nucleus of charge $μ > 0$ . We show th…

math.DS2021

Braids of the N-body problem II: carousel solutions by cabling central configurations

Marine Fontaine, Carlos García-Azpeitia

We prove the existence of relative periodic solutions of the planar $N = \sum_{j = 1}^{n} k_{j}$ -body problem starting with $n$ bodies moving close to a non-degenerate central configuratio…

Platonic constellations of periodic motions in the (n+1)-body problem

Spatial relative equilibria and periodic solutions of the Coulomb (n+1)-body problem

Braids of the N-body problem II: carousel solutions by cabling central configurations

Platonic constellations of periodic motions in the $(n + 1)$ -body problem

Spatial relative equilibria and periodic solutions of the Coulomb $(n + 1)$ -body problem