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Artículo
Continuation of Gerver's supereight choreography
(Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 2006)
In [6] we developed a continuation technique for periodic orbits in reversible systems having some first integrals and corresponding symmetries. One of the applications was the continuation of Gerver’s supereight choreography ...
Artículo
Families of symmetric periodic orbits in the three body problem and the figure eight
(Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 2004)
In this paper we show a technique for the continuation of symmetric periodic orbits in systems with time-reversal symmetries. The geometric idea of this technique allows us to generalize the “cylinder” theorem for this ...