| 变质量非完整系统Tzénoff方程的Lie 对称性与其导出的守恒量 |
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| 引用本文： | 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):111101-111101. |
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| 作者姓名： | 郑世旺 王建波 陈向炜 李彦敏 解加芳 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金(批准号: 10972127, 11102001) 资助的课题. |
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| 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非完整力学系统的Tzénoff方程, 然后研究了变质量非完整力学系统Tzénoff方程的Lie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.
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| 关 键 词： | 变质量非完整系统 Tzénoff方程 Lie对称 守恒量 |
| 收稿时间： | 2011-05-11 |
Lie symmetry and their conserved quantities of Tzénoff equations for the vairable mass nonholonomic systems |
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| Zheng Shi-Wang,Wang Jian-Bo,Chen Xiang-Wei,Li Yan-Min,Xie Jia-Fang.Lie symmetry and their conserved quantities of Tzénoff equations for the vairable mass nonholonomic systems[J].Acta Physica Sinica,2012,61(11):111101-111101. |
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| Authors: | Zheng Shi-Wang Wang Jian-Bo Chen Xiang-Wei Li Yan-Min Xie Jia-Fang |
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| Institution: | 1. School of Physics and Electrical Information, Shangqiu Teachers College, Shangqiu 476000, China;
2. College of Science, North China University of Technology, Beijing 100144, China |
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| 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. |
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| Keywords: | variable mass nonholonomic systems Tzé noff equations Lie symmetry conserved quantity |
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