含有四极矩的后牛顿引力场中试验粒子的运动

The Motion of a Test Particle in the Post-Newtonian Gravitational Field with Quadrupole Moment

为了研究试验粒子在含有四极矩的后牛顿引力场中的运动规律,采用龙格-库塔法进行数值模拟,同时利用速度因子修正法以保持动力系统数值解的积分守恒,借助快速李雅普诺夫指标来判断试验粒子运动状态演化的混沌性。数值模拟显示:引力源的四极矩会导致试验粒子的运动产生混沌现象。

The motion of a test particle in the gravitational field with quadrupole moment is studied.The study employs the Runge-Kutta method to solve the equations-of-motion,and apply the velocity correction method to keep the integral conservation of the numerical solution of the dynamic system.The chaos of motion is checked with the fast Lyapunov indicator.Numerical simulations shows the motion of the test particle does exhibit chaos in this kind of system.