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Kepler-9b、c的近2:1平运动共振分析
引用本文:陈媛媛,王雪枫,马月华.Kepler-9b、c的近2:1平运动共振分析[J].天文学报,2020,61(2):12-12.
作者姓名:陈媛媛  王雪枫  马月华
作者单位:中国科学院紫金山天文台南京210033;中国科学院行星科学重点实验室南京210033,南京大学天文与空间科学学院南京210023,中国科学院紫金山天文台南京210033;中国科学院行星科学重点实验室南京210033
基金项目:国家自然科学基金项目(11403107、11611530540、11573075、11633009、11761131008、U1631128), 江苏省自然科学基金项目(BK20191512)和中国科学院紫金山天文台小行星基金会 资助
摘    要:对多行星系统中行星周期比的统计发现,行星周期比在简单整数比2:1、3:2的右侧边缘处有明显聚集,而在其紧邻的左边有明显空缺.针对这一现象有各种不同的动力学解释. Kepler-9系统中已发现的3个行星中,行星b、c周期比约为2.03,是接近2:1共振的一个典型例子.利用关于偏心率的二阶哈密顿方程,针对只考虑长期作用和加入共振摄动两种情况,通过研究当前状态下系统在能量等高线图与相空间截面图中的位置,讨论了两行星可能的近共振状态.

关 键 词:行星系统  行星和卫星:动力学演化和稳定性  行星和卫星:个别:Kepler-9b、c
收稿时间:2019/4/23 0:00:00

Analysis of Near 2:1 Mean-motion Resonance for Kepler-9b and c
CHEN Yuan-yuan,WANG Xue-feng and MA Yue-hua.Analysis of Near 2:1 Mean-motion Resonance for Kepler-9b and c[J].Acta Astronomica Sinica,2020,61(2):12-12.
Authors:CHEN Yuan-yuan  WANG Xue-feng and MA Yue-hua
Institution:Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210033;Key Laboratory of Planetary Sciences, Chinese Academy of Sciences, Nanjing 210033,School of Astronomy & Space Science, Nanjing University, Nanjing 210023 and Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210033;Key Laboratory of Planetary Sciences, Chinese Academy of Sciences, Nanjing 210033
Abstract:According to the statistics of planetary period ratios in a multiple planetary system, the excesses appear just over the exact integral ratios, and the deficits on the near left side. There are various dynamical explanations for the phenomenon. For the three observed planets in Kepler-9 system, the period ratio between the planet b and c approximately equals 2.03, which is a typical sample close to the 2:1 resonance. For the two conditions of considering secular interactions only and adding resonance perturbations in, we applied the Hamiltonian functions with the second-order eccentricity terms to provide relative locations of current orbital configurations in the level curves of energy and cross section, then discussed the probable near resonance states of the two planets.
Keywords:planetary systems  planets and satellites: dynamical evolution and stability  planets and satellites: individual: Kepler-9b and c
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