On the calculation of the linear stability parameter of periodic orbits

Details On the calculation of the linear stability parameter of periodic orbits On the calculation of the linear stability parameter of periodic orbits

1998-06-08

arxiv.org/abs/astro-ph/9806108v1

Astronomy and Astrophysics

Astrophysics

5 pages, 2 figures, accepted to A&A

Scientific paper

In this paper we propose an improved method for calculating Henon's stability
parameter, which is based on the differential of the Poincare map using the
first variational equation. We show that this method is very accurate and give
some examples where it gives correct results, while the previous method could
not cope.

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