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...
| Autores: | , , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/38065 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/38065 |
| Access Level: | acceso abierto |
| Palabra clave: | Hamiltonian systems Heliocentric coordinates Jacobi coordinates Planetary motion Splitting sympletic methods Symplectic integrators MATEMATICA APLICADA |
| Sumario: | 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. (2013). © 2013 Springer Science+Business Media Dordrecht. |
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