• openAccess   High precision Symplectic Integrators for the Solar System 

      Farrés Basiana, Ariadna; Laskar, Jacques; Blanes, Sergio; Casas, Fernando; Makazaga, Joseba; Murua, Ander Springer Netherlands (2013-02)
      Using a Newtonian model of the Solar System with all 8 planets, we perform extensive tests on various symplectic integrators of high orders, searching for the best splitting scheme for long term studies in the Solar System. ...
    • openAccess   New families of symplectic splitting methods for numerical integration in dynamical astronomy 

      Blanes, Sergio; Casas, Fernando; Farrés Basiana, Ariadna; Laskar, Jacques; Makazaga, Joseba; Murua, Ander Elsevier (2013-06)
      We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a large ...