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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 |
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| Cite this article: |
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ZHENG Shi-Wang, WANG Jian-Bo, CHEN Xiang-Wei et al 2012 Chin. Phys. Lett. 29 020201 |
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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.
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02.20.Sv
11.30.-j
45.20.Jj
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Received: 03 November 2011
Published: 11 March 2012
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| PACS: |
02.20.Sv
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(Lie algebras of Lie groups)
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11.30.-j
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(Symmetry and conservation laws)
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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