Abstract We study the order reduction method of the rotational relativistic Birkhoffian equations. For a rotational relativistic autonomous Birkhoffian system, if the conservative law of the Birkhoffian holds, the conservative quantity can be called the generalized energy integral. Through the generalized energy integral, the order of the system can be reduced. If the rotational relativistic Birkhoffian system has a generalized energy integral, then the Birkhoffian equations can be reduced by at least two degrees and the Birkhoffian form can be kept. An example is given to illustrate the application of the result.
Received: 18 April 2002
Revised: 03 June 2002
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 19972010), the Natural Science Foundation of Hunan Province, China (Grant Nos 998040080, 984053100, 934060800).
Cite this article:
Luo Shao-Kai (罗绍凯) Generalized energy integral and reduction of rotational relativistic Birkhoffian system 2002 Chinese Physics 11 1097
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