High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
复制标题
史瓦西几何中圆轨道引力自力的高阶后牛顿拟合
DOI：
10.1103/physrevd.81.084033
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发表时间：
2010
影响因子：
5
通讯作者：
B. Whiting
中科院分区：
文献类型：
--
作者：
L. Blanchet;S. Detweiler;A. L. Tiec;B. Whiting
我们继续以前的工作之间的比较后牛顿（PN）近似和引力自作用力（SF）分析的圆轨道在史瓦西背景。我们表明，数值SF数据包含物理信息对应于极高的PN近似。我们发现，知道解析确定适当的PN参数有助于极大地允许数值数据被用来获得高阶PN系数。使用标准PN理论，我们计算分析领先的4PN和下一个领先的5PN对数项在保守的一个紧凑的二元系统的动力学的一部分。数值微扰SF结果很好地支持了质量比一阶解析PN计算，并用于精确测量特定规范不变观测量下的4PN和5PN非对数系数.此外，我们能够估计高阶贡献的7PN水平。我们还高精度地计算了3PN的值，
We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show that the numerical SF data contain physical information corresponding to extremely high PN approximations. We nd that knowing analytically determined appropriate PN parameters helps tremendously in allowing the numerical data to be used to obtain higher order PN coecients. Using standard PN theory we compute analytically the leading 4PN and the next-to-leading 5PN logarithmic terms in the conservative part of the dynamics of a compact binary system. The numerical perturbative SF results support well the analytic PN calculations through rst order in the mass ratio, and are used to accurately measure the 4PN and 5PN non-logarithmic coecients in a particular gauge invariant observable. Furthermore we are able to give estimates of higher order contributions up to the 7PN level. We also conrm with high precision the value of the 3PN