Astronomy and Astrophysics – Astronomy
Scientific paper
May 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89..383b&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 4, p. 383-405 (2004).
Astronomy and Astrophysics
Astronomy
2
Canonical Transformations, Levi-Civita, Regularisation, Scaling Invariance
Scientific paper
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-Nyström 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.
Blanes Sergio
Budd Chris J.
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