Abstract: 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.

Key words: generalized potential, Lagrangian equation, non-inertial frame, analytical dynamics

摘要： 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。

关键词: 广义势, 拉格朗日方程, 非惯性系, 分析力学