2010Chinese Physics LettersRequires access

Another Conserved Quantity by Mei Symmetry of Tzénoff Equation for Non-Holonomic Systems

Zheng Shi-wang, Xie Jia-Fang, Wang Jian-Bo, Xiangwei Chen

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Abstract

As a direct result of Mei symmetry of the Tzénoff equation for non-holonomic mechanical systems, another conserved quantity is studied. The expression and the determining equations of the above conserved quantity are also presented. Using this method, it is easier to find out conserved quantity than ever. In the last, an example is presented to illustrate applications of the new results.

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What this paper is about

As a direct result of Mei symmetry of the Tzénoff equation for non-holonomic mechanical systems, another conserved quantity is studied. The expression and the determining equations of the above conserved quantity are also presented. Using this method, it is easier to find out conserved quantity than ever. In the last, an example is presented to illustrate applications of the new results.

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Available abstract

As a direct result of Mei symmetry of the Tzénoff equation for non-holonomic mechanical systems, another conserved quantity is studied. The expression and the determining equations of the above conserved quantity are also presented. Using this method, it is easier to find out conserved quantity than ever. In the last, an example is presented to illustrate applications of the new results.

Key concepts: Conserved quantity, Holonomic, Symmetry (geometry), Holonomic constraints, Expression (computer science), Physics, Classical mechanics, Mathematical physics

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