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arXiv · 2210.01740

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

Andres Rivera·Oscar Perdomo·Nelson Castaneda
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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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Andres Rivera, Oscar Perdomo, Nelson Castaneda. 2022-10-04. Periodic oscillations in the restricted Hip-Hop 2N+1 body problem. https://arxiv.org/abs/2210.01740

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