| 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.[XIAO Zhifeng,LIN Wenbin.Application of the Lie Series Method to the Two-body Problem[J].Journal of University of South China(Science and Technology),2021,(2):86~90.] |
| 李级数法在两体问题中的应用 |
| Application of the Lie Series Method to the Two-body Problem |
| 投稿时间：2020-12-22 |
| DOI：10. 19431/ j. cnki. 1673-0062. 2021. 02. 013 |
| 中文关键词: 相对论 李级数 天体力学 |
| 英文关键词:relativity Lie series celestial mechanics |
| 基金项目: |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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