2003/01/31 by Ji Jianghui, Jianghui Ji, Hiroshi Kinoshita +5 · 4 citations
Physics and Astronomy · #Astro and Planetary Science #Astrophysics and Star Formation Studies #Stellar, planetary, and galactic studies #astro-ph
paper · pdf · doi:10.1086/374391
published as Astrophys.J. 585 (2003) L139-L142 · 12 Pages, 4 figures, Published by ApJ Letters, 585, 2003 March 10 (Figures now included to match the publication)
openalex publication_date 2003/03/10 · arxiv created 2004/11/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31
We integrate the orbital solutions of the planets orbiting 55 Cancri. In the simulations, we find that not only do the three resonant arguments θ 1 = λ 1 - 3λ 2 + 2 1 , θ 2 = λ 1 - 3λ 2 + 2 2 , and θ 3 = λ 1 - 3λ 2 + ( 1 + 2 ) librate, respectively, but the relative apsidal longitude Δω also librates about 250° for millions of years. The results imply the existence of the 3 : 1 resonance and the apsidal resonance for the studied system. We emphasize that the mean motion resonance and apsidal locking can act as two important mechanisms for stabilizing the system. In addition, we further investigate the secular dynamics of this system by comparing the numerical results with those given by Laplace-Lagrange secular theory.