A one-parameter family of difference schemes for the numerical solution of the Keplerian problem

DOI10.1134/S0965542515080072zbMath1329.65306OpenAlexW1130204014MaRDI QIDQ889224

T. G. Elenina, G. G. Elenin

Publication date: 6 November 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542515080072

zbMATH Keywords

Hamiltonian systemsRunge-Kutta methodsinvertibilitysymplecticityKeplerian problemmotion integrals

Mathematics Subject Classification ID

Hamilton's equations (70H05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (5)

Adaptive symplectic conservative numerical methods for the Kepler problem ⋮ О точности одного семейства адаптивных симплектических консервативных численных методов решения задачи Кеплера ⋮ Adaptive numerical methods for solving the problem about scattering on a force center ⋮ Testing of adaptive symplectic conservative numerical methods for solving the Kepler problem ⋮ Parametrization of the solution of the Kepler problem and new adaptive numerical methods based on this parametrization

Cites Work

• An orbit-preserving discretization of the classical Kepler problem
• Discrete mechanics - a general treatment
• A new discretization of the Kepler motion which conserves the Runge-Lenz vector
• Conservative discretizations of the Kepler motion
• Geometric Numerical Integration

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