变质量力学体系的LAGRANGE方程

Lagrange's Equation in Dynamic Systems with Variable Masses

本文证明了对于一个物体质量随时间变化的力学系统，Ｌａｇｒａｎｇｅ方程在形式上将保持不变，从而拓宽了Ｌａｇｒａｎｇｅ方程的使用范围，为变质量力学系统的讨论提供了一种手段．

This paper proves that the form of Lagrange's equation is unchangeable when it is used in the dynamic systems with variable masses, so the extent of the use of Lagrange's equation is expanded and a convenient means for analysing the dynamic systems with variable masses is provided.