Abstract The dynamics of the orbital motion in the planar elliptic restricted three-body problem are investigated, by using the method of grid classification. In this system, the secondary body is an exoplanet, while the corresponding primary body is its parent star. We numerically investigate how several dynamical quantities of the system, such as the orbital energy, the eccentricity, the true anomaly, and the mass parameter, influence several aspects of the motion of the test particle, such as the final state as well as the time of escape/collision of the orbits. Color-coded basin diagrams are utilized for displaying all the different types of basins, using two-dimensional maps. The results of this analysis are then compared to similar ones from the classical version of the circular problem of three bodies.

中文翻译：

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使用椭圆受限三体问题确定类木星系外行星周围运动的性质

摘要 采用网格分类方法研究了平面椭圆受限三体问题中的轨道运动动力学。在这个系统中，次级天体是一颗系外行星，而相应的初级天体是它的母星。我们数值研究了系统的几个动力学量，如轨道能量、偏心率、真实异常和质量参数，如何影响测试粒子运动的几个方面，如最终状态和时间轨道的逃逸/碰撞。彩色编码盆地图用于使用二维地图显示所有不同类型的盆地。然后将该分析的结果与经典版本的三体圆形问题的类似结果进行比较。