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math.DS2022
Periodic oscillations in the restricted Hip-Hop 2N+1 body problem
Andres Rivera, Oscar Perdomo, Nelson Castaneda
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…
math.DS2022
Periodic oscillations in a 2N-body problem
Oscar Perdomo, Andrés Rivera, John A. Arredondo +1
Hip-Hop solutions of the -body problem are solutions that satisfy at every instance of time, that the bodies with the same mass , are at the vertices of two regular …