Chinese Optics, Volume. 18, Issue 3, 583(2025)
Iterative estimation and precision suppression of inter-spacecraft tilt-to-length coupling noise for the Taiji space gravitational wave detection mission
Fig. 1. Schematic diagram and labeling conventions for the three-satellite formation of Taiji program
Fig. 3. The coordinate system of SC1 and the two MOSAs mounted on it
Fig. 4. Flowchart for data simulation TTL coefficient estimation and TTL noise subtraction algorithm
Fig. 8. The subtraction results of the
Fig. 9. The subtraction results of the
Table 1. True value and estimated result of the cofficients (unit: mm/rad)
View tableView in ArticleTable 1. True value and estimated result of the cofficients (unit: mm/rad)
系数 真值 第一次 MLE结果 第一次 MLE误差 最终MCMC 估计结果 最终MCMC 估计误差 $ {{{C}}_{12\varphi Tx}} $ 2.168 2.275 0.107 2.173 0.005 $ {{{C}}_{13\varphi Tx}} $ −0.086 0.082 0.168 −0.121 −0.035 $ {{{C}}_{23\varphi Tx}} $ 5.811 5.847 0.037 5.689 −0.121 $ {{{C}}_{21\varphi Tx}} $ 2.624 2.640 0.017 2.535 −0.089 $ {{{C}}_{31\varphi Tx}} $ −1.304 −1.313 −0.009 −1.306 −0.001 $ {{{C}}_{32\varphi Tx}} $ −4.760 −4.801 −0.041 −4.770 −0.010 $ {{{C}}_{12\eta Tx}} $ 3.885 3.973 0.088 3.939 0.054 $ {{{C}}_{13\eta Tx}} $ −2.161 −2.220 −0.058 −2.175 −0.014 $ {{{C}}_{23\eta Tx}} $ 3.055 3.014 −0.041 3.021 −0.034 $ {{{C}}_{21\eta Tx}} $ −2.748 −2.890 −0.142 −2.776 −0.028 $ {{{C}}_{31\eta Tx}} $ 3.673 3.697 0.023 3.669 −0.004 $ {{{C}}_{32\eta Tx}} $ −2.287 −2.202 0.085 −2.260 0.027 $ {{{C}}_{12\varphi Rx}} $ −4.826 −4.852 −0.025 −4.805 0.022 $ {{{C}}_{13\varphi Rx}} $ −2.568 −2.737 −0.168 −2.576 −0.007 $ {{{C}}_{23\varphi Rx}} $ −3.145 −3.072 0.073 −3.039 0.106 $ {{{C}}_{21\varphi Rx}} $ 1.119 1.129 0.010 1.237 0.118 $ {{{C}}_{31\varphi Rx}} $ 1.652 1.693 0.041 1.651 −0.001 $ {{{C}}_{32\varphi Rx}} $ −4.330 −4.304 0.025 −4.306 0.023 $ {{{C}}_{12\eta {\mathrm{Rx}}}} $ 0.236 0.354 0.118 0.285 0.049 $ {{{C}}_{13\eta {\mathrm{Rx}}}} $ −2.116 −2.118 −0.002 −2.120 −0.004 $ {{{C}}_{23\eta {\mathrm{Rx}}}} $ 4.021 3.984 −0.037 4.005 −0.016 $ {{{C}}_{21\eta {\mathrm{Rx}}}} $ 0.244 0.313 0.069 0.230 −0.013 $ {{{C}}_{31\eta {\mathrm{Rx}}}} $ 6.298 6.279 −0.019 6.271 −0.027 $ {{{C}}_{32\eta {\mathrm{Rx}}}} $ −0.318 −0.336 −0.018 −0.315 0.003
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Lei-qiao YE, Ming-hui DU, Peng XU, Rui-hong GAO. Iterative estimation and precision suppression of inter-spacecraft tilt-to-length coupling noise for the Taiji space gravitational wave detection mission[J]. Chinese Optics, 2025, 18(3): 583
Category: Special Column on Space-based Gravitational Wave Detection
Received: Mar. 8, 2025
Accepted: --
Published Online: Jun. 16, 2025
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