广义势及非惯性系中的Lagrange方程

本文从动能出发,定义一系列惯性力所对应的广义势,获得非惯性坐标系中的Lagrange函数,从而将Lagrange方程推广到非惯性系,为相对运动的研究提供直捷方便的方法。

Lagrangian Equations in the Non-lnertial Frame via Generalized Potentials

By kinetic energy this paper first gives the definitions of generalized potentials respectively according to different inertial forces. Second, it uses the generalized potentials to obtain Lagrangian functions in the non-inertial coordinate frame. Therefore, a generalization of the Lagrangian equations in the non-inertial system is given. The approach in this paper is effective and convenient for the research of relative motion.