An orbit-preserving discretization of the classical Kepler problem
Abstract
We present a remarkable discretization of the 3-dimensional classical Kepler problem which preserves its trajectories and all integrals of motion. The points of any discrete orbit belong to some exact continuous trajectory.
- Publication:
-
Physics Letters A
- Pub Date:
- October 2007
- DOI:
- 10.1016/j.physleta.2007.05.020
- arXiv:
- arXiv:math/0608580
- Bibcode:
- 2007PhLA..370....8C
- Keywords:
-
- 02.60.Cb;
- 02.30.Hq;
- 45.50.-j;
- 95.10.Ce;
- Numerical simulation;
- solution of equations;
- Ordinary differential equations;
- Dynamics and kinematics of a particle and a system of particles;
- Celestial mechanics;
- Mathematics - Numerical Analysis;
- Mathematics - Dynamical Systems
- E-Print:
- 7 pages