Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion |
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| Authors: | Zhang Mei-Ling Sun Xian-Ting Wang Xiao-Xiao Xie Yin-Li Jia Li-Qun |
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| Affiliation: | School of Science, Jiangnan University, Wuxi 214122, China; School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China |
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| 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. |
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| Keywords: | variable mass relative motion Lie symmetry generalized Hojman conserved quantity |
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