物理学报Issue(1)：010201-1-010201-5,5.DOI:10.7498/aps.63.010201
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 Ho jman conserved quantity deduced from generalized Lie symmetry of App ell equations for a variable mass mechanical system in relative motion
摘要
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.关键词
相对运动/变质量/广义Lie对称性/广义Hojman守恒量Key words
relative motion/variable mass/generalized Lie symmetry/generalized Hojman conserved quantity引用本文复制引用
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,(1):010201-1-010201-5,5.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.@@@@Project supported by the National Natural Science Foundation of China(Grant No.11142014), and the Scientific Research and Innovation Plan for College Graduates of Jiangsu province, China (Grant No. CXLX12_0720) （批准号:11142014）
