Comment on `conservative discretizations of the Kepler motion'

Abstract

We show that the exact integrator for the classical Kepler motion, recently found by Kozlov ({\it J. Phys. A: Math. Theor.\} {\bf 40} (2007) 4529-4539), can be derived in a simple natural way (using well known exact discretization of the harmonic oscillator). We also turn attention on important earlier references, where the exact discretization of the 4-dimensional isotropic harmonic oscillator has been applied to the perturbed Kepler problem.

6 pages

References in corpus (2)

• Coupling constant metamorphosis and Nth order symmetries in classical and quantum mechanics
• Generalized Stäckel Transform and Reciprocal Transformations for Finite-Dimensional Integrable Systems

Cited by in corpus (5)

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• On the exact discretization of the classical harmonic oscillator equation
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