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Unified symmetry of the holonomic system in terms of quasi-coordinates

Mei Feng-Xiang Xu Xue-Jun

Unified symmetry of the holonomic system in terms of quasi-coordinates

Mei Feng-Xiang, Xu Xue-Jun
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  • Received Date:  21 April 2005
  • Accepted Date:  20 May 2005
  • Published Online:  20 December 2005

Unified symmetry of the holonomic system in terms of quasi-coordinates

  • 1. (1)北京理工大学力学系,北京 100081; (2)北京理工大学力学系,北京 100081;浙江师范大学物理系,金华 321004

Abstract: This paper discusses the unified symmetry of a holonomic mechanical system in terms of quasi-coordinates under special infinitesimal transformations in which time is not varied. The differential equations of motion of the system are given. The definition and the criterion of the unified symmetry for the system are presented. A new conserved quantity, besides the Noether conserved quantity and the Hojman conserved quantity, is deduced from the unified symmetry. An example is iven to illustrate the application of the results.

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