Abstract This paper presents an inverse problem in analytical dynamics. The inverse problem is to construct the Lagrangian when the integrals of a system are given. Firstly, the differential equations are obtained by using the time derivative of the integrals. Secondly, the differential equations can be written in the Lagrange equations under certain conditions and the Lagrangian can be obtained. Finally, two examples are given to illustrate the application of the result.
Received: 30 December 2005
Revised: 16 February 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10272021, 10572021) and the Doctoral Programme Foundation of Institution of Higher Education of China (Grant No 20040007022).
Cite this article:
Li Guang-Cheng(李广成) and Mei-Feng-Xiang(梅凤翔) An inverse problem in analytical dynamics 2006 Chinese Physics 15 1669
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