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Unified symmetry of nonholonomic mechanical systems with variable mass
Authors:Xia Li-Li  Li Yuan-Cheng  Hou Qi-Bao and Wang Jing
Affiliation:College of Physics Science and Technology, China University of Petroleum,Dongying 257061, China
Abstract:Based on the total time derivative along the trajectory of the system the definition and the criterion for a unified symmetry of nonholonomic mechanical system with variable mass are presented in this paper. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, are also obtained. An example is given to illustrate the application of the results.
Keywords:variable mass  nonholonomic mechanical system  unified symmetry  conserved quantity
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