论文标题
对于平面循环限制的三体问题，没有给定类别的不变摩托车的区域
Regions without invariant tori of given class for the planar circular restricted three-body problem
论文作者
论文摘要
一种建立相空间区域的方法，通过该区域将不变的Tori横向横向到给定方向场都应用于平面圆形限制的三体问题。推导了对二进制恒星周围行星稳定轨道位置的影响。可以预期，从这个问题中学到的经验教训对于该方法在其他情况下的应用将是有用的，例如磁场的通量表面，磁场中的指导中心运动以及化学反应动力学的经典模型。
A method to establish regions of phase space through which pass no invariant tori transverse to a given direction field is applied to the planar circular restricted three-body problem. Implications for the location of stable orbits for planets around a binary star are deduced. It is expected that lessons learnt from this problem will be useful for applications of the method to other contexts such as flux surfaces for magnetic fields, guiding centre motion in magnetic fields, and classical models of chemical reaction dynamics.
