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.^^^^
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