EDP Sciences
Free access
Volume 442, Number 1, October IV 2005
Page(s) 359 - 364
Section Planets and planetary systems
DOI http://dx.doi.org/10.1051/0004-6361:20053164

A&A 442, 359-364 (2005)
DOI: 10.1051/0004-6361:20053164

Frequency map analysis of the 3/1 resonance between planets b and c in the 55 Cancri system

F. Marzari1, H. Scholl2 and P. Tricarico3

1  Dipartimento di Fisica, University of Padova, Via Marzolo 8, 35131 Padova, Italy
    e-mail: marzari@pd.infn.it
2  Observatoire de la Côte d'Azur, BP 4229, 06304 Nice Cedex 4, France
    e-mail: scholl@obs-nice.fr
3  Department of Physics, Washington State University, PO Box 642814, Pullman, WA, 99164-2814, USA
    e-mail: tricaric@wsu.edu

(Received 31 March 2005 / Accepted 3 July 2005)

We investigate the dynamical stability of the 3/1 resonant planets b and c in the extrasolar planetary system around 55 Cancri by applying Laskar's frequency map analysis. We find that the region with low diffusion speed extends to high eccentricity for both planets and that the observed system is deeply embedded in this region. The dynamics while in resonance and the influence of planet e on the resonant couple are also analysed. Using a simple model for the capture of the planets in resonance during migration we show that evolutionary tracks from smaller to the presently observed eccentricities lie in the stable region.

Key words: celestial mechanics -- planetary systems -- methods: N-body simulations

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