Testing of adaptive symplectic conservative numerical methods for solving the Kepler problem

DOI10.1134/S0965542518060052zbMath1402.65181OpenAlexW2823062461MaRDI QIDQ1785065

T. G. Elenina, G. G. Elenin

Publication date: 27 September 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518060052

zbMATH Keywords

Hamiltonian systemsRunge-Kutta methodsinvertibilityKepler problemintegrals of motionsymplecticity

Mathematics Subject Classification ID

Hamilton's equations (70H05) Two-body problems (70F05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

Parametrization of the solution of the Kepler problem and new adaptive numerical methods based on this parametrization

Cites Work

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