论文标题
LISA三体系统的横向多普勒效应和参数估计
Transverse Doppler effect and parameter estimation of LISA three-body systems
论文作者
论文摘要
丽莎（Lisa）可能可观察到的一些二进制黑洞系统可能是在超级质量黑洞（SMBH）周围的轨道上。相对论三体效应对二进制波形的烙印可用于估计三个系统的所有参数，尤其是SMBH的质量。我们确定了由于SMBH的多普勒效应到速度的二阶效应而导致的波形的相移，这破坏了SMBH质量和其倾斜度之间最低级多普勒效应的众所周知的精确退化。我们对LISA信号进行了几个参数估计，包括波浪中的此附加次数，表明可以准确确定三体系统的所有参数。我们的结果表明，可以通过监视SMBH左右的二元系统的波浪，可以测量$ 10^8 \，$ M $ _ {\ odot} $ SMBH，其精度比$ \ sim 30 \％$（sim $ \ sim 15 \％$）更好，其精度更好。
Some binary black hole systems potentially observable in LISA could be in orbit around a supermassive black hole (SMBH). The imprint of relativistic three-body effects on the waveform of the binary can be used to estimate all the parameters of the triple system, in particular the mass of the SMBH. We determine the phase shift in the waveform due to the Doppler effect of the SMBH up to second order in velocity, which breaks a well-known exact degeneracy of the lowest-order Doppler effect between the mass of the SMBH and its inclination. We perform several parameter estimations for LISA signals including this additional dephasing in the wave, showing that one can determine accurately all parameters of the three-body system. Our results indicate that one can measure the mass of a $10^8\,$M$_{\odot}$ SMBH with an accuracy better than $\sim 30\%$ (resp. $\sim 15\%$) by monitoring the waveform of a binary system whose period around the SMBH is less 100 yr (resp. 20 yr).
