Stationary Orbits in Resonant Extrasolar Planetary Systems

Authors: Michtchenko, T.; Beaugé, C.; Ferraz-Mello, S.

Source: Celestial Mechanics and Dynamical Astronomy, Volume 94, Number 4, April 2006 , pp. 411-432(22)

Publisher: Springer

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Abstract:

We present a catalog of stable and unstable apsidal corotation resonance (ACR) for the resonant planar planetary three-body problem, including both symmetric and asymmetric solutions. Calculations are performed with a new approach based on a numerical determination of the averaged Hamiltonian function. It has the advantage of being very simple to use and, with the exception of the immediate vicinity of the collision curve, yields precise results for any values of the eccentricities and semimajor axes. The present catalog includes results for the 3/2, 3/1, and 4/1 mean-motion resonances. The 5/1 and 5/2 commensurabilities are also discussed briefly. These results complement our previous results for the 2/1 (Beaugé et al. 2006, MNRAS, 365, 1160-1170), and give a broad picture of the structure of many important planetary resonances.

Keywords: Extrasolar planets; Resonance; Stationary solutions

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10569-006-9009-x

Affiliations: 1: Email: beauge@oac.uncor.edu

Publication date: 2006-04-01