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物理学报. 2010, 59(2): 716-718.
doi: 10.7498/aps.59.716.
Kepler方程的Noether对称性与Hojman守恒量
- 收稿日期: 2009-02-05
- 修回日期: 2009-05-27
- 刊出日期: 2010-01-05
摘要: 研究Kepler方程的Noether对称性与Hojman守恒量.给出系统的运动微分方程并给出Noether对称性的确定方程，提出Kepler方程的Noether对称性导致的Hojman守恒量.
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关键词:
- Kepler方程 /
- Noether对称性 /
- Hojman守恒量
English Abstract
Noether symmetry and the Hojman conserved quantity of the Kepler equation
- Received Date:
05 February 2009
- Accepted Date:
27 May 2009
- Published Online:
05 January 2010
Abstract: The Noether symmetry and the Hojman conserved quantities of the Kepler equation are studied. The determining equations of Noether symmetry for the system are given. A theorem asserting that the Noether symmetry for the system leads to the Hojman conserved quantity is presented.
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Keywords:
- Kepler equation /
- Noether symmetry /
- Hojman conserved quantity
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