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High precision Symplectic Integrators for the Solar System
Ariadna Farrés, Jacques Laskar, Sergio Blanes +3
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…
New families of symplectic splitting methods for numerical integration in dynamical astronomy
Sergio Blanes, Fernando Casas, Ariadna Farres +3
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 interes…
Efficient computation of the Zassenhaus formula
Fernando Casas, Ander Murua, Mladen Nadinic
A new recursive procedure to compute the Zassenhaus formula up to high order is presented, providing each exponent in the factorization directly as a linear combination of independ…