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

2022/10/04 by Andrés Rivera, Óscar Perdomo, Rivera, Andres +3
Engineering · Physics and Astronomy · #34A12 #37C27 #70F10 #Astro and Planetary Science #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear physics research studies #Spacecraft Dynamics and Control

paper · pdf · doi:10.48550/arxiv.2210.01740

openalex publication_date 2022/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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