High precision Symplectic Integrators for the Solar System

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 im...

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Bibliographic Details
Published in:arXiv.org 2012-08
Main Authors: Farrés, Ariadna, Laskar, Jacques, Blanes, Sergio, Casas, Fernando, Makazaga, Joseba, Murua, Ander
Format: Article
Language:English
Subjects:
Algorithms
Integrators
Solar system
Online Access:Get full text
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Summary: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)
ISSN:2331-8422
DOI:10.48550/arxiv.1208.0716