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Infinitely many periodic orbits for the rhomboidal five-body problem

Infinitely many periodic orbits for the rhomboidal five-body problem
 
Corbera Subirana, Montserrat ; Llibre, Jaume
2006

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Enllaç permanent: http://hdl.handle.net/10854/1901
 
Versió de l'editor: https://doi.org/10.1063/1.2378617
 

Abstract

We prove the existence of infinitely many symmetric periodic orbits for a regularized rhomboidal five-body problem with four small masses placed at the vertices of a rhombus centered in the fifth mass. The main tool for proving the existence of such periodic orbits is the analytic continuation method of Poincaré together with the ...»»»»
We prove the existence of infinitely many symmetric periodic orbits for a regularized rhomboidal five-body problem with four small masses placed at the vertices of a rhombus centered in the fifth mass. The main tool for proving the existence of such periodic orbits is the analytic continuation method of Poincaré together with the symmetries of the problem. © 2006 American Institute of Physics.^^^^

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Article

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(c) American Institute of Physics, 2006

Citation:

CORBERA SUBIRANA, Montserrat; LLIBRE, Jaume. "Infinitely many periodic orbits for the rhomboidal five-body problem". A: Journal of Mathematical Physics, 2006, vol. 47, núm. 12, pàg. 122701. http://dx.doi.org/10.1063/1.2378617