Sitnikov问题的数值研究

NUMERICAL RESEARCH ON SITNIKOV PROBLEM

本文通过对Sitnikov问题在不同偏心率下最大Liapunov特征指数(LcE)的数值计算,得到了与理论结果符合得相当好的混沌区域与偏心率关系.并用Poincare截面方法研究了相平面的结构.

Using the method of the Poincaré section and calculating the largest Liapunov Characteristic Exponent (LCE)of the Sitnikov dynamical system, we have derived a relation between the chaotic region and the eccentricity of primaries' elliptic orbit. This relation is remarkabl agreeable to our theoretical results.