An orbit-preserving discretization of the classical Kepler problem

Details An orbit-preserving discretization of the classical Kepler problem An orbit-preserving discretization of the classical Kepler problem

2006-08-23

arxiv.org/abs/math/0608580v1

Mathematics

Numerical Analysis

7 pages

Scientific paper

10.1016/j.physleta.2007.05.020

We present a remarkable discretization of the classical Kepler problem which
preserves its trajectories and all integrals of motion. The points of any
discrete orbit belong to an appropriate continuous trajectory.

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