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

作　　者：崔金超 张耀宇 杨新芳 贾利群 

机构地区：[1]School of Science,Jiangnan University [2]Electric and Information Engineering College,Pingdingshan University

出　　处：《Chinese Physics B》2010年第3期31-35,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10572021);the Preparatory Research Foundation of Jiangnan University,China (Grant No. 2008LYY011)

摘　　要：Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investi- gated. Appell equations and differential equations of motion for a variable mass holonomic system are established. A new expression of the total first derivative of the function with respect of time t along the systematic motional track curve, and the definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are given. The expressions of the structural equation and Mei conserved quantity for Mei symmetry in Appell are obtained. An example is given to illustrate the application of the results.Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investi- gated. Appell equations and differential equations of motion for a variable mass holonomic system are established. A new expression of the total first derivative of the function with respect of time t along the systematic motional track curve, and the definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are given. The expressions of the structural equation and Mei conserved quantity for Mei symmetry in Appell are obtained. An example is given to illustrate the application of the results.

关 键 词：variable mass holonomic system Appell equation Mei symmetry Mei conserved quan-tity 

分 类 号：O316[理学—一般力学与力学基础] V412.41[理学—力学]