Phasing of gravitational waves from inspiralling eccentric binaries
Phasing of gravitational waves from inspiralling eccentric binaries
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DOI：
10.1088/0264-9381/22/10/033
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发表时间：
2004-04
影响因子：
3.5
通讯作者：
T. Damour;A. Gopakumar;B. Iyer
中科院分区：
文献类型：
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作者：
T. Damour;A. Gopakumar;B. Iyer
我们开发了一种方法，用于分析构建高精度后牛顿（PN）模板，用于在吸气偏心轨道上运动的致密双星发出的引力波信号。采用改进的“常数变分法”，应用于轨道运动的 2PN 精确广义准开普勒参数化，我们结合了与轨道周期、近星体进动和辐射反应相关的三个相关时间尺度，而不以绝热方式处理辐射时间尺度。我们明确地实现我们的方法来获得 2.5PN 精确的“后绝热”引力波形 h+,×。使用“有效一体”方法，我们定义了我们方法的有效性范围。我们还讨论了如何扩展我们的方法来构建“即用型”搜索模板，以搜索来自吸气偏心轨道的引力波。
We develop a method for analytically constructing highly accurate post-Newtonian (PN) templates for gravitational-wave signals emitted by compact binaries moving in inspiralling eccentric orbits. Employing an improved ‘method of variation of constants’, applied to 2PN accurate generalized quasi-Keplerian parametrization for the orbital motion, we combine three relevant time scales associated with the orbital period, periastron precession and radiation reaction, without treating the radiative time scale in an adiabatic manner. We explicitly implement our method to obtain 2.5PN accurate ‘post-adiabatic’ gravitational waveforms h+,×. Using the ‘effective one-body’ approach, we define the domain of validity of our method. We also discuss how to extend our method to construct ‘ready to use’ search templates for gravitational waves from inspiralling eccentric orbits.