变质量完整系统Tzénoff方程的Mei对称性与其导出的守恒量  

Mei symmetries and their conserved quantities of Tzénoff equations for the vairable mass holonomic system

作　　者：郑世旺[1] 王建波[1] 

机构地区：[1]商丘师范学院物理与电气信息学院,河南商丘476000

出　　处：《商丘师范学院学报》2012年第3期46-50,共5页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(10972127)

摘　　要：航天器运行系统大都属于变质量力学系统,变质量力学系统的对称性和守恒量隐含着航天系统更深刻的物理规律.本文首先导出了变质量完整力学系统的Tzénoff方程,然后研究了变质量完整力学系统Tzénoff方程的Mei对称性及其所导出的守恒量,给出了这种守恒量的函数表达式和导出这种守恒量的判据方程.该研究结果对进一步探究变质量系统所遵循的守恒规律具有一定的理论价值.The operational system of the spacecraft is general a variable mass one, and the symmetry and conserved quantity of which imply physical rules of the space system. In this paper, Tzenoff equations of the variable mass holonomic system are derived firstly. Then the Mei symmetries of Tzenoff equations for the variable mass holonomic system and conserved quantities derived from that are researched, and the function expressions of conserved quantities and the criterion equations which deduce these conserved quantities are presented. This result has some theory value on further research about the conservation laws obeyed by the variable mass system.

关 键 词：变质量完整系统 TZÉNOFF方程 MEI对称 守恒量 

分 类 号：O320[理学—一般力学与力学基础]