Andrés Rivera

collaborators

3 papers

math.DS2022

Periodic oscillations in the restricted Hip-Hop 2N+1 body problem

Andres Rivera, Oscar Perdomo, Nelson Castaneda

We prove the existence of periodic solutions of the restricted $(2 N + 1)$ -body problem when the $2 N$ -primaries move on a periodic Hip-Hop solution and the massless body moves on the…

math.DS2022

Periodic oscillations in a 2N-body problem

Oscar Perdomo, Andrés Rivera, John A. Arredondo +1

Hip-Hop solutions of the $2 N$ -body problem are solutions that satisfy at every instance of time, that the $2 N$ bodies with the same mass $m$ , are at the vertices of two regular $N$ …

math.DS2020

Bifurcation of periodic orbits for the $N$ -body problem, from a non geometrical family of solutions

Oscar Perdomo, Andrés Rivera, Johann Suárez

Given two positive real numbers $M$ and $m$ and an integer $n > 2$ , it is well known that we can find a family of solutions of the $(n + 1)$ -body problem where the body with mass $M$ s…

Periodic oscillations in the restricted Hip-Hop 2N+1 body problem

Periodic oscillations in a 2N-body problem

Bifurcation of periodic orbits for the N-body problem, from a non geometrical family of solutions

Bifurcation of periodic orbits for the $N$ -body problem, from a non geometrical family of solutions