• Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem 

      Guàrdia Munarriz, Marcel; Kaloshin, Vadim; Fejoz, J.; Roldán González, Pablo (2016)
      Article
      Accés obert
      We study the dynamics of the restricted planar three-body problem near mean motion resonances, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving around the most massive one. This problem ...
    • On the scattering map and homoclinic connections between Lyapunov orbits 

      Cancalias Vila, Elisabet; Delshams Valdés, Amadeu; Masdemont Soler, Josep; Roldán González, Pablo (2005-09)
      Comunicació de congrés
      Accés obert
      Homoclinic and heteroclinic connections between planar Lyapunov orbits of the Sun-Earth and Earth-Moon models can be found by using their hyperbolic invariant manifolds and Poincare section representations. These connections ...
    • Parallel computation of normal forms 

      Roldán González, Pablo (2004)
      Article
      Accés obert
      The time to compute normal forms numerically grows very fast with respect to the degree of the normal form and the dimension of the system. We design and implement a parallel algorithm based on the parallel computation ...
    • The scattering map in the planar restricted three body problem 

      Canalias Vila, Elisabet; Delshams Valdés, Amadeu; Masdemont Soler, Josep; Roldán González, Pablo (2005)
      Article
      Accés obert
      We study homoclinic transport to Lyapunov orbits around a collinear libration point in the planar restricted three body problem. A method to compute homoclinic orbits is first described. Then we introduce the scattering ...
    • The scattering map in the spatial Hill's problem 

      Delshams Valdés, Amadeu; Masdemont Soler, Josep; Roldán González, Pablo (2006-11)
      Article
      Accés obert
      We present a framework and methodology to compute the scattering map associated to heteroclinic trajectories in the spatial Hill's problem. The scattering map can be applied to design of zero-cost transfer trajectories in ...