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Analysis of near-separatrix motion in planetary systems

Published online by Cambridge University Press:  01 October 2007

Su Wang  and
Ji-Lin Zhou
Su Wang
Affiliation:
Department of Astronomy, Nanjing University, 210093, Nanjing, China email: suwang@nju.edu.cn, zhoujl@nju.edu.cn
Ji-Lin Zhou
Affiliation:
Department of Astronomy, Nanjing University, 210093, Nanjing, China email: suwang@nju.edu.cn, zhoujl@nju.edu.cn
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Abstract

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Near-separatrix motion is a kind of motion of two planets with their relative apsidal longitude near the boundary between libration and circulation. Observed multiple planetary systems seem to favor near-separatrix motions between neighboring planets. In this report, we study the probability that near-separatrix motion occurs with both the linear secular system and full three-body systems. We find that generally the ratio of near-separatrix motion is small unless the eccentricities of the two planets differ from each other by an order of magintude, or they are in mean motion resonance. To explore the dynamical procedures causing the near-separatrix motion, we suppose a modification to scattering model by adding a mass-accretion process during the protoplanet growth. Statistics on the modified scattering model indicate that the probability of the final planet pairs in near-separatrix motion is high (∼ 85%), which may explain the high occurrence of near-separatrix motions in observed planetary systems.

Keywords

methods: analyticalmethods: n-body simulations(stars:) planetary systems
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 3 , Symposium S249: Exoplanets: Detection, Formation and Dynamics , October 2007 , pp. 491 - 498
Copyright
Copyright © International Astronomical Union 2008

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