• 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
      Accés obert
      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 ...
    • Singular contact geometry and celestial mechanics 

      Fontana McNally, Josep (Universitat Politècnica de Catalunya, 2023-06)
      Treball Final de Grau
      Accés obert
      Realitzat a/amb:   University of Toronto
      En aquest treball de fi de grau, investiguem la teoria de formes simplèctiques i de contacte singulars introduïdes per Guillemin-Miranda-Pires [GMP14] i Nest-Tsygan [NT96], a més de les connexions entre la geometria de ...
    • Uniqueness results for co-circular central configurations for power-law potentials 

      Cors Iglesias, Josep Maria; Hall, G.R.; Roberts, Gareth E. (2014-05-10)
      Article
      Accés obert
      For a class of potential functions including those used for the planar n-body and n-vortex problems, we investigate co-circular central configurations whose center of mass coincides with the center of the circle containing ...