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arXiv · 0712.3138

Formation and transformation of the 3:1 mean-motion resonance in 55 Cancri System

Li-Yong Zhou·Sylvio Ferraz-Mello·Yi-Sui Sun
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Abstract

We report in this paper the numerical simulations of the capture into the 3:1 mean-motion resonance between the planet b and c in the 55 Cancri system. The results show that this resonance can be obtained by a differential planetary migration. The moderate initial eccentricities, relatively slower migration and suitable eccentricity damping rate increase significantly the probability of being trapped in this resonance. Otherwise, the system crosses the 3:1 commensurability avoiding resonance capture, to be eventually captured into a 2:1 resonance or some other higher-order resonances. After the resonance capture, the system could jump from one orbital configuration to another one if the migration continues, making a large region of the configuration space accessible for a resonance system. These investigations help us understand the diversity of resonance configurations and put some constrains on the early dynamical evolution of orbits in the extra-solar planetary systems.

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Li-Yong Zhou, Sylvio Ferraz-Mello, Yi-Sui Sun. 2007-12-19. Formation and transformation of the 3:1 mean-motion resonance in 55 Cancri System. https://doi.org/10.1017/s1743921308017006

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