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arXiv 1803.03368gr-qcastro-ph.IM
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TianQin轨道和响应的基本原理

Fundamentals of the orbit and response for TianQin

Xin-Chun Hu, Xiao-Hong Li, Yan Wang, Wen-Fan Feng, Ming-Yue Zhou, Yi-Ming Hu, Shou-Cun Hu, Jian-Wei Mei, Cheng-Gang Shao

摘要:

天琴是一个天基激光干涉引力波探测器,旨在探测低频(0.1 mHz - 1 Hz)的引力波。它是由三个相同的无阻力航天器组成的等边三角形星座绕地球轨道运行。每对航天器之间的距离约为$1.7 \times 10^{5} ~\rm{km}$。这些航天器通过红外激光束相互连接,形成多达三个迈克尔逊型干涉仪。天琴计划的详细任务设计和科学目标的研究关键取决于探测器的轨道和响应。本文给出了各航天器在日心-黄道坐标系中轨道坐标的高阶解析表达式。这使得能够充分准确地研究科学目标和数据分析,并作为进一步轨道设计和优化的第一步。本文计算了单个迈克尔逊探测器对任意波形平面引力波的响应,在整个灵敏频率范围内都是有效的。最后利用该方法生成了更加真实的天琴灵敏度曲线。我们将此模型应用于参考白矮星双星作为原理的证明。

英文摘要:

TianQin is a space-based laser interferometric gravitational wave detector aimed at detecting gravitational waves at low frequencies (0.1 mHz -- 1 Hz). It is formed by three identical drag-free spacecrafts in an equilateral triangular constellation orbiting around the Earth. The distance between each pair of spacecrafts is approximately $1.7 \times 10^{5} ~\rm{km}$. The spacecrafts are interconnected by infrared laser beams forming up to three Michelson-type interferometers. The detailed mission design and the study of science objectives for the TianQin project depend crucially on the orbit and the response of the detector. In this paper, we provide the analytic expressions for the coordinates of the orbit for each spacecraft in the heliocentric-ecliptic coordinate system to the leading orders. This enables a sufficiently accurate study of science objectives and data analysis, and serves as a first step to further orbit design and optimization. We calculate the response of a single Michelson detector to plane gravitational waves in arbitrary waveform which is valid in the full range of the sensitive frequencies. It is then used to generate the more realistic sensitivity curve of TianQin. We apply this model on a reference white-dwarf binary as a proof of principle.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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