First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients
First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients
复制标题
具有汉森系数的偏心轨道上双星的一阶后牛顿引力波形
DOI：
--
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Vasúth
中科院分区：
文献类型：
--
作者：
B. Mikóczi;P. Forgács;M. Vasúth
具有高轨道偏心率的超大质量黑洞双星系统的激励和合并是先进引力波天文台的有希望的来源之一。在本文中，我们利用汉森系数在傅里叶域中导出了可解析的可使用的第一个后牛顿偏心波形。引入天体力学的一般扰动，我们将汉森展开推广到后牛顿第一阶，然后用它来表示波形。考虑到轨道的高偏心率会导致波形中出现长期项，这些长期项通过引入相移而消除。波形具有系统的结构，作为我们的主要结果，这些波形以表格形式表示。
The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we derive analytic ready-to-use first post-Newtonian eccentric waveform in Fourier domain with the use of Hansen coefficients. Introducing generic perturbations of celestial mechanics we have generalized the Hansen expansion to the first post-Newtonian order which are then used to express the waveforms. Taking into account the high eccentricity of the orbit leads to the appearance of secular terms in the waveform which are eliminated with the introduction of a phase shift. The waveforms have a systematic structure and as our main result these are expressed in a tabular form.