Researching | Multi-degree-of-freedom measurement for space inertial test mass via laser interference

Optics and Precision Engineering, Volume. 31, Issue 11, 1593(2023)

Multi-degree-of-freedom measurement for space inertial test mass via laser interference

Rui MA1...3, Nan LI1,*, Jianguo HE2, Jianquan ZHANG1, and Min HUANG23 |Show fewer author(s)

Author Affiliations

¹Key Laboratory of Space Utilization， Technology and Engineering Center for Space Utilization， Chinese Academy of Sciences， Beijing00094， China

²Optical Imaging Technology Lab， Aerospace Information Research Institute， Chinese Academy of Sciences， Beijing100094， China

³University of Chinese Academy of Sciences， Beijing100094， China

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References (23)

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Figures & Tables(15)

Fig. 1. Schematic of test mass pose measurement via heterodyne interferometry

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Fig. 2. Flow chart of pose measurement

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Fig. 3. Light propagation diagram and coordinate system of CCR

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Fig. 4. Flow chart of pose calculation error simulation

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Fig. 5. Result of pose calculation

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Fig. 6. Error of pose calculation

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Fig. 7. Frequency histogram of attitude error

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Fig. 8. Frequency histogram of position error

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Fig. 9. Orthogonal coordinate error

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Fig. 10. Installation error of CCR

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Fig. 11. Effect of coplanar installation error on accuracy of attitude and position

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Fig. 12. Effect of non-coplanar installation error on accuracy of attitude and position

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Table 1. Average errors of attitude and position

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Table 1. Average errors of attitude and position

Pose	Numerical analysis	Small-angle approximation
$Δ θ_{x} / (°)$	2.0×10^-17	3.4×10^-6
$Δ θ_{y} / (°)$	3.8×10^-17	-6.2×10^-7
$Δ θ_{z} / (°)$	5.3×10^-18	-1.2×10^-7
$Δ t_{x} / n m$	-1.1×10^-11	10.5
$Δ t_{y} / n m$	1.2×10^-11	16.3
$Δ t_{z} / n m$	-4.0×10^-12	10.3

Table 2. Sources of position error and maximum value
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Table 2. Sources of position error and maximum value
Parameter $δ {t_{z}}_{m a x}$
$f$ 4.8×10^-2
$L$ 1.7
$H$ 0.6

Table 3. Position error corresponding to verticality of CCRs
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Table 3. Position error corresponding to verticality of CCRs
Parameter $δ O P C_{1 m a x}$ $δ {t_{z}}_{m a x}$
$δ α_{1} = 1''$ 5.9 3.0
$δ β_{1} = 1''$ 0.2 0.1
$δ ψ_{_{1}} = 1''$ 7.2×10^-11 3.6×10^-11
$δ χ_{1} = 1''$ 1.3×10^-6 6.4×10^-7

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Rui MA, Nan LI, Jianguo HE, Jianquan ZHANG, Min HUANG. Multi-degree-of-freedom measurement for space inertial test mass via laser interference[J]. Optics and Precision Engineering, 2023, 31(11): 1593

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Paper Information

Category: Modern Applied Optics

Received: Nov. 26, 2022

Accepted: --

Published Online: Jul. 4, 2023

The Author Email: LI Nan (linan@csu.ac.cn)

DOI:10.37188/OPE.20233111.1593

Topics

laser devices and laser physics

Lasers and Laser Optics

laser manufacturing

Instrumentation, Measurement and Metrology