Abstract This paper studies Mei symmetry which leads to a generalized Hojman conserved quantity for variable mass systems with unilateral holonomic constraints. The differential equations of motion for the systems are established, the definition and criterion of the Mei symmetry for the systems are given. The necessary and sufficient condition under which the Mei symmetry is a Lie symmetry for the systems is obtained and a generalized Hojman conserved quantity deduced from the Mei symmetry is got. An example is given to illustrate the application of the results.
Received: 10 October 2006
Revised: 04 November 2006
Accepted manuscript online:
Jing Hong-Xing(荆宏星), Li Yuan-Cheng(李元成), Wang Jing(王静), Xia Li-Li(夏丽莉), and Hou Qi-Bao(后其宝) Mei symmetry and generalized Hojman conserved quantity for variable mass systems with unilateral holonomic constraints 2007 Chinese Physics 16 1827
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