Now showing items 1-4 of 4

    • A family of stacked central configurations in the planar five-body problem 

      Lino Cornelio, J.; Álvarez Ramírez, Martha; Cors Iglesias, Josep Maria (2017-11)
      Article
      Open Access
      We study planar central configurations of the five-body problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and ...
    • A special family of stacked central configurations: Lagrange plus Euler in one 

      Lino Cornelio, J.; Álvarez Ramírez, Martha; Cors Iglesias, Josep Maria (2019-06)
      Article
      Open Access
      We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1, m2 and m3, ordered from left to right, are collinear and form an Euler central ...
    • Ejection-collision orbits in the symmetric collinear four–body problem 

      Álvarez Ramírez, Martha; Barrabés Vera, Esther; Medina, M.; Ollé Torner, Mercè (2019-06-15)
      Article
      Restricted access - publisher's policy
      In this paper, we consider the collinear symmetric four-body problem, where four masses and a¿>¿0, are aligned in this order and move symmetrically about their center of mass. We introduce regularized variables to deal ...
    • Non-integrability of some few body problems in two degrees of freedom 

      Acosta Humánez, Primitivo Belén; Álvarez Ramírez, Martha; Delgado Fernández, Joaquín (2008-11-16)
      Article
      Open Access
      The basic theory of Differential Galois and in particular Morales--Ramis theory is reviewed with focus in analyzing the non--integrability of various problems of few bodies in Celestial Mechanics. The main theoretical ...