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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
License
DOI (Digital Object Identifier)
10.14760/SNAP-2017-009-EN
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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