完整系统Raitzin正则方程的Hojman守恒定理  

Hojman's Conservation Theorems for Raitzin's Canonical Equations of Holonomic Systems

作　　者：乔永芬[1] 孙丹娜[1] 赵淑红[2] 

机构地区：[1]莱阳农学院基础部,莱阳市265204 [2]东北农业大学工程学院,哈尔滨150030

出　　处：《江西师范大学学报（自然科学版）》2005年第2期95-98,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：黑龙江省自然科学基金资助项目(批准号9507)

摘　　要：利用时间不变的无限小变换下的Lie对称性,研究完整系统Raitzin正则方程的Hojman守恒定理.列出系统的运动微分方程.建立时间不变的无限小变换下的确定方程.给出系统的Hojman守恒定理,并举例说明结果的应用.Using the Lie symmetry under infinitesimal transformations in which the time is not variable, the Hojman's conservation theorems for Raitzin's canonical equations of holonomic systems have been studied. The differential equations of the systems and the determining equations of Lie symmetry under infinitesimal transformations have been given. The Hojman's conservation theorems of the systems are established. Finally,an example to illustrate the application of the result has been given.

关 键 词：Hojman守恒定理 正则方程 完整系统 无限小变换 LIE对称性 运动微分方程 利用时间 确定方程 建立时间 

分 类 号：O316[理学—一般力学与力学基础] S834.4[理学—力学]