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Comment on `conservative discretizations of the Kepler motion'

Mathematical Physics 2015-05-14 v1 Numerical Analysis math.MP Numerical Analysis Space Physics

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.

Keywords

Cite

@article{arxiv.0911.5425,
  title  = {Comment on `conservative discretizations of the Kepler motion'},
  author = {Jan L. Cieslinski},
  journal= {arXiv preprint arXiv:0911.5425},
  year   = {2015}
}

Comments

6 pages