Global dynamics and stability limits for planetary systems around HD 12661, HD 38529, HD 37124 and HD 160691

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  • 17 July 2002
Abstract
In order to distinguish between regular and chaotic planetary orbits we apply a new technique called MEGNO in a wide vicinity of orbital parameters determined using standard two-body Keplerian fits for HD 12661, HD 38529, HD 37124, HD 160691 planetary systems. We show that the currently announced orbital parameters place these systems in very different situations from the point of view of dynamical stability. While HD 38529 and HD 37124 are located within large stability zones in the phase space around their determined orbits, the preliminary orbits in HD 160691 are highly unstable and there are no stability regions in the close vicinity of these orbits. The orbital parameters of the HD 12661 planets are located in a border region between quasi-periodic and chaotic dynamical regimes, so that the combination of its nominal parameters results in a chaotic orbit, while some minor changes within the margin of error of just one parameter at a time may produce stable regular configurations.

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