A Bifurcation in the Family of Periodic Orbits for the Spatial Isosceles 3 Body Problem

• Perdomo, Oscar M ^[1]
  1. [1] Central Connecticut State University

     Central Connecticut State University

     Town of New Britain, Estados Unidos

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 2, 2018, págs. 411-428
• Idioma: inglés
• DOI: 10.1007/s12346-017-0244-1
• Enlaces
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• Resumen

  • In this paper we describe a 1-dimensional family of initial conditions Σ that provides reduced periodic solutions of the spatial isosceles 3-body problem. This family Σ contains a bifurcation point that make it look like the union of two embedded smooth curves. We will explain how the trajectories of the bodies in the solutions coming from one of the embedded curves have two symmetries while those coming from the other embedded curve only have one symmetry. We give an explanation for the existence of this bifurcation point.

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