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arXiv 0704.3769gr-qc
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后Minkowski近似下两个不等质量粒子的圆解

Circular solution of two unequal mass particles in post-Minkowski approximation

Matthew M. Glenz, Koji Uryu

摘要:

在前一篇文章中,我们引入了一个具有第一次后牛顿修正的后Minkowski近似的Fokker作用量,并得到了螺旋对称圆轨道的一个解。本文给出了两个不等质量质点的圆解的补充结果。选定的质量比的圆形解决方案的数值计算,并在极端的质量比极限的解析公式推导。在此极限下,解析公式的首项与第一个后牛顿公式一致。

英文摘要:

A Fokker action for post-Minkowski approximation with the first post-Newtonian correction is introduced in our previous paper, and a solution for the helically symmetric circular orbit is obtained. We present supplemental results for the circular solution of two unequal mass point-particles. Circular solutions for selected mass ratios are found numerically, and analytic formulas in the extreme mass ratio limit are derived. The leading terms of the analytic formulas agree with the first post-Newtonian formulas in this limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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