Conservative discretizations of the Kepler motion

DOI10.1088/1751-8113/40/17/009zbMath1113.70003OpenAlexW2062072096MaRDI QIDQ3443012

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Publication date: 25 May 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/40/17/009

zbMATH Keywords

angular momentumHamiltonian functionRunge-Lenz vector

Mathematics Subject Classification ID

Two-body problems (70F05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (10)

Adaptive symplectic conservative numerical methods for the Kepler problem ⋮ A one-parameter family of difference schemes for the numerical solution of the Keplerian problem ⋮ О точности одного семейства адаптивных симплектических консервативных численных методов решения задачи Кеплера ⋮ Discretization of second-order ordinary differential equations with symmetries ⋮ Adaptive numerical methods for solving the problem about scattering on a force center ⋮ Invariance and first integrals of continuous and discrete Hamiltonian equations ⋮ Testing of adaptive symplectic conservative numerical methods for solving the Kepler problem ⋮ Discrete shallow water equations preserving symmetries and conservation laws ⋮ Parametrization of the solution of the Kepler problem and new adaptive numerical methods based on this parametrization ⋮ On the exact discretization of the classical harmonic oscillator equation

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