High precision symplectic integrators for the Solar System

@article{Farrs2013HighPS,
  title={High precision symplectic integrators for the Solar System},
  author={Ariadna Farr{\'e}s and Jacques Laskar and Sergio Blanes and Fernando Casas and Joseba Makazaga and Ander Murua},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={2013},
  volume={116},
  pages={141-174}
}
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… Expand
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