Periodic oscillations in the restricted Hip-Hop 2N+1 body problem
arXiv:2210.01740
Abstract
We prove the existence of periodic solutions of the restricted -body problem when the -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 -primaries.
12 pages, 5 figures