Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

被引：0

作者：

Mei-Ling, Zhang ^{[1
]}

Xian-Ting, Sun ^{[2
]}

Xiao-Xiao, Wang ^{[1
]}

Yin-Li, Xie ^{[1
]}

Li-Qun, Jia ^{[1
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

[2] Pingdingshan Univ, Sch Elect & Informat Engn, Pingdingshan 467002, Peoples R China

来源：

CHINESE PHYSICS B | 2011年 / 20卷 / 11期

关键词：

variable mass; relative motion; Lie symmetry; generalized Hojman conserved quantity; NONHOLONOMIC MECHANICAL SYSTEMS; NOETHER ADIABATIC INVARIANTS; MEI SYMMETRY; CONFORMAL-INVARIANCE; LAGRANGIAN SYSTEMS; FORM INVARIANCE; LUTZKY TYPE; PERTURBATION; CONSTRAINTS;

D O I：

10.1088/1674-1056/20/11/110202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion are studied. The determining equation of Lie symmetry of Nielsen equations for a variable mass holonomic system of relative motion under the infinitesimal transformations of groups is given. The expression of generalized Hojman conserved quantity deduced directly from Lie symmetry for a variable mass holonomic system of relative motion is obtained. An example is given to illustrate the application of the results.

引用

页数：4

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