圆型限制性三体问题中双恒星系统的存在性

EXISTENCE OF DOUBLE STAR SYSTEM IN CIRCULAR RESTRICTED THREE-BODY PROBLEM

在圆型限制性三体问题的研究中 ,研究较多的是在其中一体附近的运动 .本文研究远离两个大质量恒星的行星的运行情况 .在此范围内 ,使用 KAM理论研究大振幅轨道的存在性 ,说明了星系中双恒星系统的存在性 ,而这一现象已被天文学家所观察到 .

Many works on the circular restricted three body problem have been done for the motivation of asteroid near one star.This paper studies the motivation of asteroid far from two stars.The existence of such large amplitude solution was studied by KAM theory.Being far from the center,the gravity field generated by two moving stars can be looked as a periodic perturbation of center field.Thus the invariant torus exist from KAM theory by which the existence of double star system is explained.