Now showing items 1-7 of 7

  • Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP 

    Ollé Torner, Mercè; Barrabés Vera, Esther (2009-11)
    Article
    Restricted access - publisher's policy
    We consider the planar restricted three-body problem and the collinear equilibrium point L3, as an example of a center×saddle equilibrium point in a Hamiltonian with two degrees of freedom.We explore numerically the ...
  • Dynamics of the parabolic restricted three-body problem 

    Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Ollé Torner, Mercè (2015-12-01)
    Article
    Restricted access - publisher's policy
    The main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic ...
  • Highly eccentric hip-hop solutions of the 2N-body problem 

    Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol, Conxita; Soler Villanueva, Jaume (2010-02)
    Article
    Open Access
    We show the existence of families of hip-hop solutions in the equal-mass 2N-body problem which are close to highly eccentric planar elliptic homographic motions of 2N bodies plus small perpendicular non-harmonic oscillations. ...
  • Horseshoe motion in the Restricted three-body problem 

    Ollé Torner, Mercè; Barrabés Vera, Esther (2005-09)
    Article
    Open Access
  • Invariant manifolds of L_3 and horseshoe motion in the restricted three-body problem 

    Barrabés Vera, Esther; Ollé Torner, Mercè (2005)
    Article
    Open Access
    In this paper, we consider horseshoe motion in the planar restricted three-body problem. On one hand, we deal with the families of horseshoe periodic orbits (which surround three equilibrium points called L3, L4 and L5), ...
  • Low‐cost trajectories using dynamical systems 

    Cors Iglesias, Josep Maria; Barrabés Vera, Esther (Escola Politècnica Superior d’Enginyeria de Manresa, 2010-12-02)
    Conference lecture
    Open Access
  • Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP 

    Ollé Torner, Mercè; Barrabés Vera, Esther; Mondelo González, José María (2009-12)
    Article
    Restricted access - publisher's policy
    The goal of this paper is the numerical computation and continuation of homoclinic connections of the Lyapunov families of periodic orbits (p.o.) associated with the collinear equilibrium points, L1, L2 and L3, of ...