Mei Symmetry and New Conserved Quantities of Tzénoff Equations for the Variable Mass Higher-Order Nonholonomic System
ZHENG Shi-Wang1**, WANG Jian-Bo1, CHEN Xiang-Wei1, XIE Jia-Fang2
1School of Physics and electrical information, Shangqiu Normal College, Shangqiu 476000 2College of Science, North China University of Technology, Beijing 100144
Mei Symmetry and New Conserved Quantities of Tzénoff Equations for the Variable Mass Higher-Order Nonholonomic System
ZHENG Shi-Wang1**, WANG Jian-Bo1, CHEN Xiang-Wei1, XIE Jia-Fang2
1School of Physics and electrical information, Shangqiu Normal College, Shangqiu 476000 2College of Science, North China University of Technology, Beijing 100144
摘要Operational systems of spacecraft are general variable mass mechanics systems, and their symmetries and conserved quantities imply profound physical rules of the space system. We study the Mei symmetry of Tzénoff equations for a variable mass nonholonomic system and the new conserved quantities derived. The function expression of the new conserved quantities and the criterion equation which deduces these conserved quantities are presented. This result has some theoretical values in further research of conservation laws obeyed by the variable mass system.
Abstract：Operational systems of spacecraft are general variable mass mechanics systems, and their symmetries and conserved quantities imply profound physical rules of the space system. We study the Mei symmetry of Tzénoff equations for a variable mass nonholonomic system and the new conserved quantities derived. The function expression of the new conserved quantities and the criterion equation which deduces these conserved quantities are presented. This result has some theoretical values in further research of conservation laws obeyed by the variable mass system.
ZHENG Shi-Wang1**, WANG Jian-Bo1, CHEN Xiang-Wei1, XIE Jia-Fang2. Mei Symmetry and New Conserved Quantities of Tzénoff Equations for the Variable Mass Higher-Order Nonholonomic System[J]. 中国物理快报, 2012, 29(2): 20201-020201.
ZHENG Shi-Wang, WANG Jian-Bo, CHEN Xiang-Wei, XIE Jia-Fang. Mei Symmetry and New Conserved Quantities of Tzénoff Equations for the Variable Mass Higher-Order Nonholonomic System. Chin. Phys. Lett., 2012, 29(2): 20201-020201.
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2012, Vol. 29 
