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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

Jia Li-Qun, Sun Xian-Ting, Zhang Mei-Ling, Zhang Yao-Yu, Han Yue-Lin
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Publishing process
  • Received Date:  21 August 2013
  • Accepted Date:  20 September 2013
  • Published Online:  05 January 2014

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

  • 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
Fund Project:  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).

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.

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