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arXiv 1505.08058gr-qc
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不同eLISA-like组态对大质量黑洞参数估计的影响

The effect of different eLISA-like configurations on massive black hole parameter estimation

Edward K. Porter

摘要:

欧空局最近选择了“引力波宇宙”作为未来L3宇宙观飞行任务的主题。在这一呼吁中,提出了一个称为eLISA的任务概念。该天文台目前的初始配置包括三颗卫星之间的4个激光链路,它们之间的距离为100万公里,构成一个单通道迈克尔逊干涉仪。然而,天文台的最终配置要到本十年结束时才能确定。考虑到这一点,我们调查的效果不同的ELISA样配置上的大质量黑洞检测。这项工作比较了120个大规模的黑洞二进制的贝叶斯推理研究的结果的红移$z\sim13$的$10^6$米臂长eLISA与四个和六个链接,以及一个$2\times10^6$米臂长天文台与四个链接。我们证明,原来的eLISA配置应该允许我们恢复的光源的光度距离的误差小于10%的红移的$z\sim4$,和天空的误差箱$\leq10^2\,deg^2$出$z\sim0.1$。相比之下,这两种替代配置表明,我们应该能够进行相同的参数恢复,误差小于10%的光度距离出$z\sim12$和$\leq10^2\,deg^2$出$z\sim0.4$。利用这些研究的信息,我们还推断,如果我们能够构建一个2Gm,6链路探测器,上述值将转移到$z\sim20$的光度距离和$z\sim0.9$的天空误差。虽然最终的配置也将取决于技术和财务方面的考虑,但我们的研究表明,增加双臂探测器的尺寸是在较小的探测器中包含第三臂的可行替代方案。更重要的是,这项工作进一步表明,两种选择之间没有明显的科学损失。

英文摘要:

As the theme for the future L3 Cosmic Vision mission, ESA has recently chosen the `Gravitational Wave Universe'. Within this call, a mission concept called eLISA has been proposed. This observatory has a current initial configuration consisting of 4 laser links between the three satellites, which are separated by a distance of one million kilometers, constructing a single channel Michelson interferometer. However, the final configuration for the observatory will not be fixed until the end of this decade. With this in mind, we investigate the effect of different eLISA-like configurations on massive black hole detections. This work compares the results of a Bayesian inference study of 120 massive black hole binaries out to a redshift of $z\sim13$ for a $10^6$m arm-length eLISA with four and six links, as well as a $2\times10^6$m arm-length observatory with four links. We demonstrate that the original eLISA configuration should allow us to recover the luminosity distance of the source with an error of less than 10% out to a redshift of $z\sim4$, and a sky error box of $\leq10^2\,deg^2$ out to $z\sim0.1$. In contrast, both alternative configurations suggest that we should be able to conduct the same parameter recovery with errors of less than 10% in luminosity distance out to $z\sim12$ and $\leq10^2\,deg^2$ out to $z\sim0.4$. Using the information from these studies, we also infer that if we were able to construct a 2Gm, 6-link detector, the above values would shift to $z\sim20$ for luminosity distance and $z\sim0.9$ for sky error. While the final configuration will also be dependent on both technological and financial considerations, our study suggests that increasing the size of a two arm detector is a viable alternative to the inclusion of a third arm in a smaller detector. More importantly, this work further suggests no clear scientific loss between either choice.

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