论文标题
在任意倾向时的共振库和宽度
Resonance libration and width at arbitrary inclination
论文作者
论文摘要
我们将分析干扰函数应用于以前的工作中得出的任意倾斜度,以表征从三体问题的直接数值模拟获得的任意倾斜度的平均运动共振的图表。我们使用新的分析谐振模型检查了2:1和3:1内木星和1:2和1:3外部海王星的共振及其可能的不对称库,其中包括包括多个参数及其第二个谐音的同时文库及其第二个和声。使用附近轨道的平均指数生长因子(Megno混乱指标)获得数值衍生的共振分离。我们发现分析和数值估计值是一致的,共振宽度取决于同时在共振时间尺度上列出的前几种基本共振模式。我们的结果表明,新的摆模型可以分析确定共振宽度,更普遍地,任意倾斜度的令人不安的功能是一种强大的分析工具,可描述太阳系中低和高倾斜的小行星的共振动力学。
We apply the analytical disturbing function for arbitrary inclination derived in our previous work to characterize resonant width and libration of mean motion resonances at arbitrary inclination obtained from direct numerical simulations of the three-body problem. We examine the 2:1 and 3:1 inner Jupiter and 1:2 and 1:3 outer Neptune resonances and their possible asymmetric librations using a new analytical pendulum model of resonance that includes the simultaneous libration of multiple arguments and their second harmonics. The numerically-derived resonance separatrices are obtained using the Mean Exponential Growth factor of Nearby Orbits (MEGNO chaos indicator). We find that the analytical and numerical estimates are in agreement and that resonance width is determined by the first few fundamental resonance modes that librate simultaneously on the resonant timescale. Our results demonstrate that the new pendulum model may be used to ascertain resonance width analytically, and more generally, that the disturbing function for arbitrary inclination is a powerful analytical tool that describes resonance dynamics of low as well as high inclination asteroids in the solar system.