Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion  

作　　者：解银丽 贾利群 罗绍凯 

机构地区：[1]School of Science,Jiangnan University [2]Institute of Mathematical Mechanics and Mathematical Physics,Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2011年第1期57-60,共4页中国物理B（英文版）

摘　　要：Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations in a dynamical system of relative motion under infinitesimal group transformation are presented. The expression of the equation for the special Lie symmetry of Appell equations and the Hojman conserved quantity, deduced directly from the special Lie symmetry in a dynamical system of relative motion, are obtained. An example is given to illustrate the application of the results.Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations in a dynamical system of relative motion under infinitesimal group transformation are presented. The expression of the equation for the special Lie symmetry of Appell equations and the Hojman conserved quantity, deduced directly from the special Lie symmetry in a dynamical system of relative motion, are obtained. An example is given to illustrate the application of the results.

关 键 词：dynamics of relative motion Appell equations special Lie symmetry Hojman conservedquantity 

分 类 号：O316[理学—一般力学与力学基础] O175.1[理学—力学]