| 附着在三体上的单参数李群系 |
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| 引用本文： | 尹君毅,管克英.附着在三体上的单参数李群系[J].应用数学学报,2007,30(4):667-674. |
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| 作者姓名： | 尹君毅 管克英 |
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| 作者单位： | 北京交通大学理学院,北京,100044 |
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| 摘 要： | 本文给出三体在—般情形下的伴随李群系与守恒量,并在特殊的力势函数下求出了三体扩展的伴随李群系,进一步利用这个扩展的伴随李群系求出除10个经典守恒外的更多守恒量.
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| 关 键 词： | 李群 守恒量 李括号 |
| 修稿时间： | 2006-06-29 |
One-parameter Lie Group System Attached to Three-body |
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| YIN JUNYI,GUAN KEYING.One-parameter Lie Group System Attached to Three-body[J].Acta Mathematicae Applicatae Sinica,2007,30(4):667-674. |
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| Authors: | YIN JUNYI GUAN KEYING |
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| Institution: | 1,School of Science, Beijing Jiaotong University, Beijing 100044;2,School of Science, Beijing Jiaotong University, Beijing 100044 |
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| Abstract: | This paper focuses on adjoin Lie group system and conservation quantities of three-body on the general condition.At the same time,three-body expansion adjoin Lie group system is achieved by virtue of special power potential function.Furthermore,using the three-body expansion adjoin Lie group system, a lot of conservation quantities are attained except for the 10 classical conservation quantities. |
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| Keywords: | Lie group conserved quantity Lie bracket |
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