物理学报2012,Vol.61Issue(11):190-194,5.
变质量非完整系统Tzénoff方程的Lie对称性与其导出的守恒量
Lie symmetry and their conserved quantities of Tzénoff equations for the vairable mass nonholonomic systems
摘要
Abstract
The operational system of the spacecraft is general a variable mass one,of which the symmetry and the conserved quantity imply physical rules of the space system.In this paper,Tzénoff equations of the variable mass nonholonomic system are derived,from which the Lie symmetries of Tzénoff equations for the variable mass nonholonomic system and conserved quantities are derived and are researched.The function expressions of conserved quantities and the criterion equations which deduce these conserved quantities are presented.This result has some theoretical value for further research of the conservation laws obeyed by the variable mass system.关键词
变质量非完整系统/Tzénoff方程/Lie对称/守恒量Key words
variable mass nonholonomic systems/Tzénoff equations/Lie symmetry/conserved quantity分类
数理科学引用本文复制引用
郑世旺,王建波,陈向炜,李彦敏,解加芳..变质量非完整系统Tzénoff方程的Lie对称性与其导出的守恒量[J].物理学报,2012,61(11):190-194,5.基金项目
国家自然科学基金(批准号:10972127,11102001)资助的课题. ()