The apsidal corotation in mean motion resonance: the 55 Cancri as an example
arXiv:astro-ph/0310121 · doi:10.1111/j.1365-2966.2004.07755.x
Abstract
The inner two planets around the 55 Cancri were found to be trapped in the 3:1 mean motion resonance. In this paper, we study the dynamics of this extra-solar planetary system. Our numerical investigation confirms the existence of the 3:1 resonance and implies a complex orbital motion. Different stable motion types, with and without the apsidal corotation, are found. Due to the high eccentricities in this system, we apply a semi-analytical method based on a new expansion of the Hamiltonian of the planar three-body problem in the discussion. We analyse the occurrence of the apsidal corotation in this mean motion resonance and its influence on the stability of the system.
8 pages, 9 figures. Revised version for submitting to MNRAS