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

Andres Rivera, Oscar Perdomo, Nelson Castaneda

Published 2022-10-04Version 1

We prove the existence of periodic solutions of the restricted $(2N+1)$-body problem when the $2N$-primaries move on a periodic Hip-Hop solution and the massless body moves on the line that contains the center of mass and is perpendicular to the base of the antiprism formed by the $2N$-primaries.