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| Kepler方程的Noether-Lie对称性与守恒量 | |
| 引用本文： | 殷保祥,刘晓巍,李元成,徐超,宋子龙. Kepler方程的Noether-Lie对称性与守恒量[J]. 江西科学, 2012, 30(5): 569-571 |
| 作者姓名： | 殷保祥 刘晓巍 李元成 徐超 宋子龙 |
| 作者单位： | 1. 石河子大学理学院物理系,新疆石河子,832003 2. 中国石油大学（华东）理学院,山东青岛,266555 3. 江苏印加新能源科技发展有限公司,江苏南京,211100 |
| 摘 要： | 研究Kepler方程的对称性与守恒量。给出Kepler方程的Noether-Lie对称性的定义和判据,以及由Noether-Lie对称性导出Noether守恒量和Hojman守恒量。 |
| 关 键 词： | Kepler方程 Noether-Lie对称性 守恒量 |
Noether-Lie Symmetry and Conserved Quantities of the Kepler Equation |
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| YIN Bao-xiang,LIU Xiao-wei,LI Yuan-cheng,XU Chao,SONG Zi-long. Noether-Lie Symmetry and Conserved Quantities of the Kepler Equation[J]. Jiangxi Science, 2012, 30(5): 569-571 | |
| Authors: | YIN Bao-xiang LIU Xiao-wei LI Yuan-cheng XU Chao SONG Zi-long |
| Affiliation: | 3 ( 1. College of Physics, Shi He Zi University, Xinjiang Shihezi 832003 PRC ; 2. College of Physics, China University of Petroleum ( East China) , Shandong Qingdao 266555 PRC; 3. Jiangsu Yinjia New Energy Resources Science ＆ Technology Development Iimited Corporation,Jiangsu Nanjing 211100 PRC) |
| Abstract: | The Noether-Lie symmetry and conserved quantities of the Kepler equation are studied. The Kepler equation, we obtain the Noether symmetry and the Lie symmetry for the equation and the conserved quantities deduced from them, then the definition and criterion for Noether-Lie symmetry of the Kepler equation are derived. Lastly,the Noether conserved quantity and the Hojman conserved quantity are deduced from the Noether-Lie symmetry. |
| Keywords: | Kepler equation Noether-Lie symmetry Conserved quantity |
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