Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-01-31
Astrophys.J. 585 (2003) L139-L142
Astronomy and Astrophysics
Astrophysics
12 Pages, 4 figures, Published by ApJ Letters, 585, 2003 March 10 (Figures now included to match the publication)
Scientific paper
10.1086/374391
We integrate the orbital solutions of the planets orbiting 55 Cnc. In the simulations, we find that not only three resonant arguments $\theta_{1}=\lambda_{1}-3\lambda_{2}+2\tilde\omega_{1}$, $\theta_{2}=\lambda_{1}-3\lambda_{2}+2\tilde\omega_{2}$ and $\theta_{3}=\lambda_{1}-3\lambda_{2}+(\tilde\omega_{1}+\tilde\omega_{2})$ librate respectively, but the relative apsidal longitudes $\Delta\omega$ also librates about $250^{\circ}$ 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 of 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.
Guangyu Li
Jianghui Ji
Kinoshita Hajimu
Lin Liu
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