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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
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Calcul numérique et calcul scientifique
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Ingénierie et technologie
Licence
DOI
10.14760/SNAP-2017-009-EN
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Sujet mathématique
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Algèbre et théorie des nombres
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Géométrie et Topologie
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Calcul numérique et calcul scientifique
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Théorie des probabilités et statistique
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Chimie et sciences de la terre
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Pensées mathématiques