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Explicit Adaptive Symplectic (Easy) Integrators: A Scaling Invariant Generalisation of the Levi-Civitaand KS Regularisations
- Source :
- Celestial Mechanics and Dynamical Astronomy. 89:383-405
- Publication Year :
- 2004
- Publisher :
- Springer Science and Business Media LLC, 2004.
-
Abstract
- We present a generalisation of the Levi-Civita and Kustaanheimo-Stiefel regularisation. This allows the use of more general time rescalings. In particular, it is possible to find a regularisation which removes the singularity of the equations and preserves scaling invariance. In addition, these equations can, in certain cases, be integrated with explicit symplectic Runge-Kutta-Nystrom methods. The combination of both techniques gives an explicit adaptive symplectic (EASY) integrator. We apply those methods to some perturbations of the Kepler problem and illustrate, by means of some numerical examples, when scaling invariant regularisations are more efficient that the LC/KS regularisation.
- Subjects :
- Applied Mathematics
Mathematical analysis
Astronomy and Astrophysics
Invariant (physics)
Computational Mathematics
symbols.namesake
Singularity
Space and Planetary Science
Modeling and Simulation
Integrator
Kepler problem
symbols
Applied mathematics
Scaling
Mathematical Physics
Mathematics
Symplectic geometry
Subjects
Details
- ISSN :
- 09232958
- Volume :
- 89
- Database :
- OpenAIRE
- Journal :
- Celestial Mechanics and Dynamical Astronomy
- Accession number :
- edsair.doi...........fe53f603479bf2587a1b0d407fbe340c