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变质量非完整系统Tzénoff方程的Lie对称性与其导出的守恒量

郑世旺 王建波 陈向炜 李彦敏 解加芳

物理学报2012,Vol.61Issue(11):190-194,5.
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

郑世旺 1王建波 1陈向炜 1李彦敏 1解加芳2

作者信息

  • 1. 商丘师范学院物理与电气信息学院,商丘476000
  • 2. 北方工业大学理学院,北京100144
  • 折叠

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. ()

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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