Monday, August 6, 2012

1208.0716 (Ariadna Farrés et al.)

High precision Symplectic Integrators for the Solar System    [PDF]

Ariadna Farrés, Jacques Laskar, Sergio Blanes, Fernando Casas, Joseba Makazaga, Ander Murua
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. These comparisons are made in Jacobi and Heliocentric coordinates and the implementation of the algorithms is fully detailed for practical use. We conclude that high order integrators should be privileged, with a preference for the new $(10,6,4)$ method of (Blanes et al., 2012)
View original: http://arxiv.org/abs/1208.0716

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