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18 April 2024 |
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The apsidal corotation in mean motion resonance: the 55 Cancri as an example | Li-Yong Zhou
; Harry J. Lehto
; Yi-Sui Sun
; Jia-Qing Zheng
; | Date: |
5 Oct 2003 | Journal: | Mon.Not.Roy.Astron.Soc. 350 (2004) 1495 | Subject: | astro-ph | Affiliation: | 1 and 2), Harry J. Lehto (1 and 3), Yi-Sui Sun , Jia-Qing Zheng (Tuorla Observatory, Piikkiö, Finland Department of Astronomy, Nanjing University, China Department of Physics, Turku University, Finland | 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. | Source: | arXiv, astro-ph/0310121 | Services: | Forum | Review | PDF | Favorites |
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