相对运动变质量力学系统Appell方程的广义Lie对称性导致的广义Hojman守恒量  

Generalized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion

作　　者：贾利群[1] 孙现亭[1] 张美玲[2] 张耀宇[1] 韩月林[3] 

机构地区：[1]平顶山学院电气信息工程学院,平顶山467000 [2]常州市第一中学数学教研组,常州213003 [3]江南大学理学院,无锡214122

出　　处：《物理学报》2014年第1期19-23,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11142014);江苏省普通高校研究生科研创新计划项目(批准号:CXLX12_0720)资助的课题~~

摘　　要：研究相对运动变质量完整系统Appell方程的广义Lie对称性及其直接导致的广义Hojman守恒量.在群的无限小变换下,给出相对运动变质量完整系统Appell方程广义Lie对称性的确定方程;得到相对运动变质量完整系统Appell方程广义Lie对称性直接导致的广义Hojman守恒量的表达式.最后,利用本文结果研究相对运动变质量完整约束的三自由度力学系统问题.Generalized Lie symmetry and generalized Hojman conserved quantity of Appell equations for a variable mass holonomic system in relative motion are studied.The determining equation of generalized Lie symmetry of Appell equations for a variable mass holonomic system in relative motion under the infnitesimal transformations of groups is given.The expression of generalized Hojman conserved quantity deduced directly from generalized Lie symmetry for a variable mass holonomic system in relative motion is gained.Finally,the problem of dynamical system with three degree of freedom is studied by using the results of this paper.

关 键 词：相对运动 变质量 广义Lie对称性 广义Hojman守恒量 

分 类 号：O316[理学—一般力学与力学基础]