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Comment on `conservative discretizations of the Kepler motion'

Authors
  • Cieslinski, Jan L.
Type
Preprint
Publication Date
Nov 28, 2009
Submission Date
Nov 28, 2009
Identifiers
DOI: 10.1088/1751-8113/43/22/228001
Source
arXiv
License
Yellow
External links

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.

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