摘要
研究相对运动动力学系统方程的形式不变性以及与Lie对称性的关系.给出系统的运动方程和形式不变性的判据方程,给出形式不变性为Lie对称性的充要条件,得到形式不变性导致守恒量的结构方程以及守恒量的形式.举例说明方程的应用.
The form invariance and the relation between the form invariance and Lie symmetry of relative motion dynamics systems are studied. Firstly, the criterions of the form invariance and Lie symmetry in the systems are given. Next, their relation is educed. The structure equation and the form of the conserved quantity of systems are given. Finally,an example to illustrate the application of the result is presented.
出处
《广西大学学报（自然科学版）》
CAS
CSCD
2003年第2期134-137,共4页
Journal of Guangxi University（Natural Science Edition）
基金
国家自然科学基金(19972010
10272021)
