论文标题
Tianqin Time-delay干涉法中的多普勒效应
Doppler effect in TianQin time-delay interferometry
论文作者
论文摘要
当前的空间引力波检测器的设计利用了卫生馆间科学测量中的杂作激光干涉法。杂词击败的频率变化主要是由于视线沿相对卫星运动的多普勒效应引起的。通常认为在测量频带之外，这种多普勒频移似乎在时间延迟干涉法（TDI）的数值模拟中被忽略了。但是，应评估对TDI实施的潜在影响。该问题与以地心轨道为中心轨道的天气特别相关，因为频率以频率$ <1 \ times 10^{ - 4} $ Hz受到了强烈的重力干扰。在这项原理研究中，基于从详细的重力场建模获得的高精度轨道数据，我们将多普勒的变化纳入了天气的击打相位信号的生成中。要删除以频率$ <1 \ times 10^{ - 4} $ Hz的大规模多普勒相位漂移，我们开发了一个高性能的高通滤波器，并考虑两个可能的处理序列，即在TDI组合之前或之后应用过滤器。我们的仿真结果有利于前者，并证明了在不降低TDI性能的情况下成功地消除了天气的低频重力障碍，假设有10 m伪的不确定性。滤波方案可用于开发天气的初始降落管道。
The current design of space-based gravitational wave detectors utilizes heterodyne laser interferometry in inter-satellite science measurements. Frequency variations of the heterodyne beatnotes are predominantly caused by the Doppler effect from relative satellite motion along lines of sight. Generally considered to be outside the measurement band, this Doppler frequency shift appears to have been overlooked in numerical simulations of time-delay interferometry (TDI). However, the potential impact on the implementation of TDI should be assessed. The issue is particularly relevant to TianQin that features geocentric orbits, because of strong gravity disturbances from the Earth-Moon system at frequencies $<1\times 10^{-4}$ Hz. In this proof-of-principle study, based on high-precision orbital data obtained from detailed gravity field modeling, we incorporate the Doppler shift in the generation of TianQin's beatnote phase signals. To remove the large-scale Doppler phase drift at frequencies $<1\times 10^{-4}$ Hz, we develop a high-performance high-pass filter and consider two possible processing sequences, i.e., applying the filter before or after TDI combinations. Our simulation results favor the former and demonstrate successful removal of the low-frequency gravity disturbances for TianQin without degrading the TDI performance, assuming 10 m pseudo-ranging uncertainty. The filtering scheme can be used in developing the initial noise-reduction pipeline for TianQin.
