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物理学报  2004 

Non Noether conserved quantity of the holonomic mechanical systems in terms of quasi-coordinates -An extension of Hojman theorem
准坐标下完整力学系统的非Noether守恒量——Hojman定理的推广

Keywords: quasi-coordinate,holonomic mechanical system,Lie symmetry,non Noether conserved quantity,Hojman theorem
准坐标
,完整力学系统,Lie对称性,非Noether守恒量,Hojman定理

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Abstract:

Using the Lie symmetry under infinitesimal transformations in which the time in not variable,a new conserved quantity of holonomic mechanical systems in terms of quasi-coordinates is studied.The differential equations of motion of the systems are established.Determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman theorem is generalized.Finally,an example is given to illustrate the application of the results.

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