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Unified symmetry of holonomic mechanical systems
完整力学系统的统一对称性

Keywords: holonomic mechanical system,unified symmetry,conserved quantity
完整力学系统
,统一对称性,守恒量

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Abstract:

The definition and the criterion of a unified symmetry for a holonomic mechanical system are presented based on the total time derivative along the trajectory of the system. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. An example is given to illustrate the application of the results.

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