Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion
Zhang Mei-Ling(张美玲)a), Sun Xian-Ting(孙现亭)b), Wang Xiao-Xiao(王肖肖)a),Xie Yin-Li(解银丽)a), and Jia Li-Qun(贾利群)a)†
aSchool of Science, Jiangnan University, Wuxi 214122, China; bSchool of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China
Abstract Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion are studied. The determining equation of Lie symmetry of Nielsen equations for a variable mass holonomic system of relative motion under the infinitesimal transformations of groups is given. The expression of generalized Hojman conserved quantity deduced directly from Lie symmetry for a variable mass holonomic system of relative motion is obtained. An example is given to illustrate the application of the results.
Zhang Mei-Ling(张美玲), Sun Xian-Ting(孙现亭), Wang Xiao-Xiao(王肖肖), Xie Yin-Li(解银丽), and Jia Li-Qun(贾利群) Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion 2011 Chin. Phys. B 20 110202
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