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Chin. Phys. B, 2012, Vol. 21(6): 064501    DOI: 10.1088/1674-1056/21/6/064501

Symmetry of Lagrangians of a holonomic variable mass system

Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔)
Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract  The symmetry of Lagrangians of a holonomic variable mass system is studied. Firstly, the differential equations of motion of the system are established. Secondly, the definition and the criterion of the symmetry of the system are presented. Thirdly, the conditions under which there exists a conserved quantity deduced by the symmetry are obtained. The form of the conserved quantity is the same as that of the constant mass Lagrange system. Finally, an example is shown to illustrate the application of the result.
Keywords:  Holonomic system      variable mass system      symmetry of Lagrangians      conserved quantity  
Received:  13 November 2011      Revised:  25 December 2011      Accepted manuscript online: 
PACS:  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
  11.30.-j (Symmetry and conservation laws)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10932002 and 10972031) and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics.
Corresponding Authors:  Wu Hui-Bin     E-mail:

Cite this article: 

Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔) Symmetry of Lagrangians of a holonomic variable mass system 2012 Chin. Phys. B 21 064501

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