摘要
This paper discusses the symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates. Firstly, the definition and the criterion of the symmetry are given. Secondly, the condition under which there exists a conserved quantity and the form of the conserved quantity are obtained. Finally, an example is shown to illustrate the application of the results.
This paper discusses the symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates. Firstly, the definition and the criterion of the symmetry are given. Secondly, the condition under which there exists a conserved quantity and the form of the conserved quantity are obtained. Finally, an example is shown to illustrate the application of the results.
基金
supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025)
the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022)
the Fund for Fundamental Research of Beijing Institute of Technology (Grant No 20070742005)
