论文标题
1/2、2/1和1/1逆行平均运动共振的数值研究
A numerical study of the 1/2, 2/1 and 1/1 retrograde mean motion resonances in planetary systems
论文作者
论文摘要
我们介绍了一项关于由太阳能群体，木星质量星球和零质量（椭圆限制的三体问题）或与Neptnene，Saturn或Jupiter（Saturn或Jupiter（Saturn or Saturn或Jupiter 3-body）（Planet 3-brody问题）相似的3型型问题，关于1/2、2/1和1/1逆行平均运动共振的稳定性的数值研究。对于每个系统，我们使用n体数值集成符篮板获得稳定图，并计算附近轨道（MEGNO）的混乱指标的平均指数生长因子。我们表明，周期性轨道的家族都存在于所有配置中，它们对应于单个共振参数或所有共振参数（固定点）的库。我们比较了椭圆形限制的3体问题中获得的结果与文献中先前的结果，并显示了这些相位空间拓扑之间的差异和相似性，这些逆行共振在圆形限制，椭圆限制和行星3体问题中的差异。
We present a numerical study on the stability of the 1/2, 2/1 and 1/1 retrograde mean motion resonances in the 3-body problem composed of a solar mass star, a Jupiter mass planet and an additional body with zero mass (elliptic restricted 3-body problem) or masses corresponding to either Neptune, Saturn or Jupiter (planetary 3-body problem). For each system we obtain stability maps using the n-body numerical integrator REBOUND and computing the chaos indicator mean exponential growth factor of nearby orbits (MEGNO). We show that families of periodic orbits exist in all configurations and they correspond to the libration of either a single resonant argument or all resonant arguments (fixed points). We compare the results obtained in the elliptic restricted 3-body problem with previous results in the literature and we show the differences and similarities between the phase space topology for these retrograde resonances in the circular restricted, elliptic restricted and planetary 3-body problems.
