A conservative discretization of the Kepler problem based on the \(L\)-transformations

DOI10.1016/J.PHYSLETA.2007.04.101zbMath1209.70004OpenAlexW1987548805MaRDI QIDQ715921

D. Kharzeev

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.04.101

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Two-body problems (70F05)

Cites Work

• Recent progress in the theory and application of symplectic integrators
• Regularization of motion equations with \(L\)-transformation and numerical integration of the regular equations
• A new discretization of the Kepler motion which conserves the Runge-Lenz vector
• Non-existence of the modified first integral by symplectic integration methods. II: Kepler problem
• Generalized Kustaanheimo-Stiefel transformations
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants
• Simulating Hamiltonian Dynamics
• 8D oscillator and 5D Kepler problem: The case of nontrivial constraints
• Geometric Numerical Integration
• Perturbation theory of Kepler motion based on spinor regularization.
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