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Astron. Astrophys. 336, 782-785 (1998)

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Research Note

On the calculation of the linear stability parameter of periodic orbits

C. Barberà 1, 2 and E. Athanassoula 2

1 Dep. Informàtica. Escola Tècnica Superior d'Enginyeries. Univertitat Rovira i Virgili, E-43006 Tarragona, Spain
2 Observatoire de Marseille, 2 place Le Verrier, F-13248 Marseille Cedex 4, France

Received 2 March 1998 / Accepted 25 May 1998


In this paper we propose an improved method for calculating Hénon's stability parameter, which is based on the differential of the Poincaré 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.

Key words: methods: analytical – methods: numerical – celestial mechanics, stellar dynamics – galaxies: kinematics and dynamics

Send offprint requests to: C. Barberà

© European Southern Observatory (ESO) 1998

Online publication: July 20, 1998