Email this article Adaptive symplectic conservative numerical methods for the Kepler problem
- Authors: Elenin G.G.1, Elenina T.G.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 53, No 7 (2017)
- Pages: 923-934
- Section: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/154482
- DOI: https://doi.org/10.1134/S0012266117070096
- ID: 154482
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Abstract
We suggest and substantiate a unified form of a family of adaptive conservative numerical methods for the Kepler problem. The family contains methods of the second, fourth, and sixth approximation order as well as an exact method. The methods preserve all the global properties of the exact solution of the problem. The variable time step is chosen automatically depending on the properties of the solution.
About the authors
G. G. Elenin
Lomonosov Moscow State University
Author for correspondence.
Email: elenin2@rambler.ru
Russian Federation, Moscow, 119991
T. G. Elenina
Lomonosov Moscow State University
Email: elenin2@rambler.ru
Russian Federation, Moscow, 119991
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