Full‐analytic frequency‐domain gravitational wave forms from eccentric compact binaries to 2PN accuracy

Full‐analytic frequency‐domain gravitational wave forms from eccentric compact binaries to 2PN accuracy
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从偏心致密双星到 2PN 精度的全解析频域引力波形式

DOI:
10.1002/andp.201100007
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发表时间:
2010
期刊:
影响因子:
2.4
通讯作者:
Gerhard Schaefer
Gerhard Schaefer
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
M. Tessmer;Gerhard Schaefer

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本文给出了在时间傅里叶域中任意质量比的偏心非自旋紧致双星的全解析引力波形式。最近描述的半解析性质,即要求在数值上反转高阶开普勒方程,但保持所有其他计算是解析的,这是第一次避免。本文是前一篇文章(M. Tessmer and G. Schäfer, Phys.)的补充。Rev. D 82, 124064(2010))在调和GW振幅和保守轨道动力学中的二阶后牛顿(2PN)阶。给出了开普勒方程在调和坐标系下的全解析反演公式,以及偏心异常的三角函数用平均异常的正弦和余弦的解析时间傅里叶展开式。不考虑尾项。
The article provides full‐analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi‐analytical property of recent descriptions, i.e. the demand of inverting the higher‐order Kepler equation numerically but keeping all other computations analytic, is avoided for the first time. The article is a completion of a previous one (M. Tessmer and G. Schäfer, Phys. Rev. D 82, 124064 (2010)) to second post‐Newtonian (2PN) order in the harmonic GW amplitude and conservative orbital dynamics. A fully analytical inversion formula of the Kepler equation in harmonic coordinates is provided, as well as the analytic time Fourier expansion of trigonometric functions of the eccentric anomaly in terms of sines and cosines of the mean anomaly. Tail terms are not considered.
具有轨道角动量对齐自旋的偏心致密双星的运动和引力波形式,在自旋轨道中的次前级和自旋(1)自旋(2)中的前级以及自旋平方耦合下
DOI: 10.1088/0264-9381/27/16/165005
发表时间: 2010
影响因子: 3.5
作者:
M. Tessmer;J. Hartung;G. Schäfer
通讯作者: G. Schäfer
DOI: 10.1103/physrevd.82.124064
发表时间: 2010
期刊: Physical Review D
影响因子: 5
作者:
M. Tessmer;G. Schäfer
通讯作者: G. Schäfer