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Abstract

Generalized Lie symmetry and generalized Hojman conserved quantity of Appell equations for a variable mass holonomic system in relative motion are studied. The determining equation of generalized Lie symmetry of Appell equations for a variable mass holonomic system in relative motion under the infinitesimal transformations of groups is given. The expression of generalized Hojman conserved quantity deduced directly from generalized Lie symmetry for a variable mass holonomic system in relative motion is gained. Finally, the problem of dynamical system with three degree of freedom is studied by using the results of this paper.

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Funds:Project supported by the National Natural Science Foundation of China(Grant No. 11142014), and the Scientific Research and Innovation Plan for College Graduates of Jiangsu province, China (Grant No. CXLX12_0720).

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Vol. 63, Issue 1 - 2014-01-05

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