Unified symmetry of holonomic mechanical systems

doi:10.1088/1009-1963/14/7/003

Abstract

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.

Keywords: holonomic mechanical system unified symmetry conserved quantity

Received: 28 December 2004
Revised: 24 January 2005
Accepted manuscript online:

PACS:

45.05.+x

(General theory of classical mechanics of discrete systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022)

Cite this article:

Xu Xue-Jun (许学军), Qin Mao-Chang (秦茂昌), Mei Feng-Xiang (梅凤翔) Unified symmetry of holonomic mechanical systems 2005 Chinese Physics 14 1287

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