Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system of relative motion

doi:10.1088/1674-1056/21/10/100203

Abstract Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system of relative motion are studied. The definition and criterion of the Mei symmetry of Appell equations for a variable mass holonomic system of relative motion under the infinitesimal transformations of groups are given. The structural equation of Mei symmetry of Appell equations and the expression of Mei conserved quantity deduced directly from Mei symmetry for a variable mass holonomic system of relative motion are gained. Finally, an example is given to illustrate the application of the results.

Keywords: variable mass relative motion Appell equations Mei conserved quantity

Received: 16 January 2012
Revised: 28 April 2012
Published: 01 September 2012

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	11.30.-j	(Symmetry and conservation laws)
	45.20.Jj	(Lagrangian and Hamiltonian mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032).

Corresponding Authors: Jia Li-Qun
E-mail: jlq0000@163.com

Cite this article:

Zhang Mei-Ling, Wang Xiao-Xiao, Han Yue-Lin, Jia Li-Qun Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system of relative motion 2012 Chin. Phys. B 21 100203

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