Apsidal corotation in mean motion resonance: the 55 Cancri system as an example
Abstract
The inner two planets around 55 Cancri were found to be trapped in a 3:1 mean motion resonance (MMR). In this paper, we study the dynamics of this extrasolar 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 apsidal corotation, are found. Owing 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 apsidal corotation in this MMR and its influence on the stability of the system.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- June 2004
- DOI:
- 10.1111/j.1365-2966.2004.07755.x
- arXiv:
- arXiv:astro-ph/0310121
- Bibcode:
- 2004MNRAS.350.1495Z
- Keywords:
-
- methods: numerical;
- celestial mechanics;
- stars: individual: 55 Cancri;
- planetary systems: formation;
- Astrophysics
- E-Print:
- 8 pages, 9 figures. Revised version for submitting to MNRAS