| 李级数法在两体问题中的应用 |
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| 引用本文： | 肖志峰,林文斌.李级数法在两体问题中的应用[J].南华大学学报(自然科学版),2021(2):86-90. |
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| 作者姓名： | 肖志峰 林文斌 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001 |
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| 摘 要： | 本文基于李级数摄动理论,分析了带自旋的相对论双星问题。从爱因斯坦场方程的后牛顿近似展开开始,考虑了多种相对论效应的复杂相互作用。得到了一个关于运动粒子的轨道角动量的z分量关于时间t演化的椭圆函数形式的解析解。
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| 关 键 词： | 相对论 李级数 天体力学 |
| 收稿时间： | 2020/12/22 0:00:00 |
Application of the Lie Series Method to the Two-body Problem |
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| XIAO Zhifeng,LIN Wenbin.Application of the Lie Series Method to the Two-body Problem[J].Journal of Nanhua University:Science and Technology,2021(2):86-90. |
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| Authors: | XIAO Zhifeng LIN Wenbin |
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| Institution: | School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China |
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| Abstract: | This paper analyzed the problem of relativistic two-body problem with spin employing a perturbation scheme based on Lie series. Starting from a post-Newtonian expansion of the Einstein field equations and takeing the complex interplay between the various relativistic effects into full account, a new explicit solution of motion in terms of elliptic functions was obtained. |
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| Keywords: | relativity Lie series celestial mechanics |
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