Computing the long term evolution of the solar system with geometric numerical integrators

Instantanés de recherche mathématique à Oberwolfach

Computing the long term evolution of the solar system with geometric numerical integrators

Simulating the dynamics of the Sun–Earth–Moon sys- tem with a standard algorithm yields a dramatically wrong solution, predicting that the Moon is ejected from its orbit. In contrast, a well chosen algorithm with the same initial data yields the correct behavior. We explain the main ideas of how the evolution of the solar system can be computed over long times by taking advantage of so-called geometric numerical methods. Short sample codes are provided for the Sun–Earth–Moon system.

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Sujet mathématique

Calcul numérique et calcul scientifique

Liens avec d'autres domaines

Ingénierie et technologie

Auteur(s)

Shaula Fiorelli Vilmart, Gilles Vilmart

Licence

CC BY-SA-4.0

DOI

10.14760/SNAP-2017-009-EN

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