李级数法在两体问题中的应用  

Application of the Lie Series Method to the Two-body Problem

作　　者：肖志峰 林文斌 XIAO Zhifeng;LIN Wenbin(School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China)

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2021年第2期86-90,共5页Journal of University of South China：Science and Technology

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。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.

关 键 词：相对论 李级数 天体力学 

分 类 号：O412.1[理学—理论物理]