合力为零的经典质点拉格朗日函数

The Lagrangian function of a classical particle with zero-total force

运用拉格朗日力学逆问题理论和方法,得到合力为零的经典质点两类等效拉格朗日函数.这些函数可以与时间、质点的位置矢量和速度矢量相关,并非只能是速度大小的函数.

Using the theory and methods of the inverse problem in Lagrangian mechanics, two kinds of equivalent Lagrangian functions of a classical particle with zero-total force are obtained. These Lagrangian functions depend on time, the radius vector and vector velocity of the particle, but need not be a function of magnitude of velocity only.