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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
引用本文:贾利群,孙现亭,张美玲,张耀宇,韩月林.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[J].物理学报,2014,63(1):10201-010201.
作者姓名:贾利群  孙现亭  张美玲  张耀宇  韩月林
作者单位: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
基金项目:国家自然科学基金(批准号:11142014)和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.

关 键 词:相对运动  变质量  广义Lie对称性  广义Hojman守恒量
收稿时间:2013-08-21

Generalized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion
Jia Li-Qun,Sun Xian-Ting,Zhang Mei-Ling,Zhang Yao-Yu,Han Yue-Lin.Generalized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion[J].Acta Physica Sinica,2014,63(1):10201-010201.
Authors:Jia Li-Qun  Sun Xian-Ting  Zhang Mei-Ling  Zhang Yao-Yu  Han Yue-Lin
Institution:1. School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467000, China;2. Mathematics Teaching and Research Group, Changzhou No.1 High School, Changzhou 213003, China;3. School of Science, Jiangnan University, Wuxi 214122, China
Abstract: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 infinitesimal 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.
Keywords:relative motion  variable mass  generalized Lie symmetry  generalized Hojman conserved quantity
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