A cell-mapping approach is implemented and parallelized to analyze three-body problem orbits in the vicinity of icy moons (Europa and Enceladus). The cell-mapping method is developed for studying nonlinear dynamics with periodic motions. The method does not require previously known solutions as inputs, which is an essential requirement of continuation approaches, and does not impose symmetric constraints. As major strengths of the method, multiple-period periodic solutions and bifurcation studies can be easily performed. This method is especially applicable to a systematic periodic orbit search over a region of interest using an integration time of one period. The parallelized cell-mapping method facilitates a rapid understanding of the global dynamics.

实施并映射了一种单元映射方法，以分析冰冷卫星（欧罗巴和土卫二）附近的三体问题轨道。单元映射方法是为研究具有周期性运动的非线性动力学而开发的。该方法不需要先前已知的解决方案作为输入，这是连续方法的基本要求，并且不施加对称约束。作为该方法的主要优势，可以轻松执行多周期周期解和分叉研究。该方法尤其适用于使用一个周期的积分时间对感兴趣区域进行系统的周期性轨道搜索。并行单元映射方法有助于快速了解全局动态。