Some Qualitative Features of the Isosceles Trapezoidal Four-Body Problem

• Alvarez-Ramírez, Martha ^[1] ; Medina, Mario ^[1]
  1. [1] UAM-Iztapalapa
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 1, 2020
• Idioma: inglés
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• Resumen

  • In this article, we present a novel survey of known qualitative features of the isosceles trapezoidal four-body problem, that has three degrees of freedom, as well as its two subsystems with two degrees of freedom, namely, the symmetric collinear four-body problem and the rectangular four-body problem. We use the configurations space to display the “full picture” that allows us to visualize all admissible configurations on the reduced space, homeomorphic to a three-sphere, called the shape sphere.