Periodic oscillations in the restricted Hip-Hop 2N+1 body problem
Dynamical Systems
2022-10-05 v1 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.2210.01740,
title = {Periodic oscillations in the restricted Hip-Hop 2N+1 body problem},
author = {Andres Rivera and Oscar Perdomo and Nelson Castaneda},
journal= {arXiv preprint arXiv:2210.01740},
year = {2022}
}
Comments
12 pages, 5 figures