对Jacobi坐标系的研究

RESEARCH OF THE JACOBI'S COORDINATE

根据Jacobi坐标系的定义 ,参考N体系统在惯性坐标系中的运动方程 ,讨论了在推导Jacobi坐标系运动方程时存在的几个问题 ,分析出现问题的原因 ,给出Jacobi坐标系的扩充定义 ,推导出包括P1在内的N体系统在Jacobi坐标系中的运动方程 .

Based on the definition of the Jacobi's coordinate and by consulting to the motion equations of N-body systems in the inertial coordinate, some problems in the deduction of the motion equations in the Jacobi's coordinate is discussed and the reasons for the emergence of these problems is analysed. The extended definition of the Jacobi's equations is also given and the motion equations in the Jacobi's coordinate of the N-body system in addition of P 1 are deducted.