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

Snapshots of modern mathematics from 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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Mathematical subjects

Numerics and Scientific Computing

Connections to other fields

Engineering and Technology

Author(s)

Shaula Fiorelli Vilmart, Gilles Vilmart
Senior Editor:
Carla Cederbaum
Junior Editor:
Sophia Jahns, Lara Skuppin

License

DOI (Digital Object Identifier)

10.14760/SNAP-2017-009-EN

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PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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