圆型限制性三体问题中转移轨道类型的数值研究

Numerical Study on the Species of Transfer Orbit in the Circular Restricted Three-Body Problem

摘要: 基于空间圆型限制性三体问题的动力学方程，我们首先数值模拟了系统以质量比为参数的分岔图，发现两个主天体的质量相当(即质量比率在0.5附近)时，第三体的动力学行为较其它质量比下更为复杂。当质量比在区间(0.4, 0.6)时，我们进一步数值模拟了32,000条转移轨道，并将发现的轨道作了简要的分类。

Abstract: Based on the dynamical equations of spatial circular restricted three-body problem, the bifurcation diagram of the system with the mass ratio as the bifurcation parameter is demonstrated, and it is found that when the masses of the two main bodies are considerable equivalent (i.e., the mass ratio is around 0.5), the third body’s dynamic behavior is more complicated than at other mass ratios. When the mass ratio is in the interval (0.4, 0.6), we further simulate 32,000 transfer orbits and make a brief classification of the found orbits.