2005•Chinese PhysicsOpen access
Unified symmetry of holonomic mechanical systems
Xuejun Xu, Maochang Qin, Mei Feng-Xiang
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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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