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

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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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Área matemática

Cálculo numérico y científico

Relaciones con otros campos

Ingeniería y Tecnología

Autor(es)

Shaula Fiorelli Vilmart, Gilles Vilmart

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2017-009-EN

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snapshots-2017-009.pdf

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