Hojman's conservation theorems for generalized Raitzin canonical equations of motion
Qiao Yong-Fen (乔永芬)abc, Li Ren-Jie (李仁杰)b, Zhao Shu-Hong(赵淑红)c
a Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027, Chinab Faculty of Science Laiyang Agricultural College, Laiyang 265200,Chinac Engineering College of Northeast Agricultural University, Harbin 150030, China
Abstract Using the Lie symmetry under infinitesimal transformations in which the time is not variable, Hojman’s conservation theorems for Raitzin’s canonical equations of motion in generalized classical mechanics are studied. The generalized Raitzin’s canonical equations of motion are established. The determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman’s conservation theorems of the system are established. Finally, an example is also presented to illustrate the application of the result.
Received: 26 May 2004
Revised: 22 January 2005
Accepted manuscript online:
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