High-Accuracy Advance Pointing Angle Algorithm Based on Motion Information Fusion

Xinbo Shao; Ziyong Yuan; Xialin Liu; Rong Shu

doi:10.3788/AOS202242.1812003

Acta Optica Sinica, Volume. 42, Issue 18, 1812003(2022)

High-Accuracy Advance Pointing Angle Algorithm Based on Motion Information Fusion

Xinbo Shao^1,2, Ziyong Yuan¹, Xialin Liu¹, and Rong Shu^1,2、*

¹Key Laboratory of Space Active Optical-Electro Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China

²School of Information Science and Technology, ShanghaiTech University, Shanghai 201210, China

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Figures & Tables(12)

Fig. 1. Schematic diagram of advance pointing angle calculation

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Fig. 2. Structural diagram of space debris laser ranging system

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Fig. 3. Processing flow chart of data fusion algorithm

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Fig. 4. Input data of data fusion algorithm. (a) Inertial sensor data; (b) camera data

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Fig. 5. Results of data fusion algorithm. (a) Data fitting results of different time lengths; (b) errors of data fitting results of different time lengths

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Fig. 6. Simulation results of different types of target motion curves. (a) Sinusoidal motion; (b) power function motion; (c) parabolic motion

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Table 1. Calculation results of initial orbit determination and advance pointing angles with different arc lengths

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Table 1. Calculation results of initial orbit determination and advance pointing angles with different arc lengths

Arc length	Semimajor axis /km	Eccentricity	Inclination /（°）	RAAN /（°）	Argument of perigee /（°）	Mean anomaly /（°）	Position error /m	Velocity error / （m·s^-1）	Advance pointing angle error /μrad
LEO	6925.400	0.000172	53.056	333.691	58.693	301.422
SSO	7160.720	0.000350	98.541	103.993	112.524	112.524
10 s	14248.718	0.517747	54.692	332.402	70.038	348.380	79.690	1906.174	12.7078
20 s	7630.897	0.094635	53.437	329.817	71.299	348.949	82.756	386.377	2.5758
30 s	7190.643	0.038378	53.208	329.320	72.350	348.510	81.666	161.029	1.0735
40 s	7061.866	0.020582	53.129	329.144	73.678	347.601	79.790	88.156	0.5877
50 s	7006.692	0.012766	53.091	329.061	75.371	346.272	77.763	55.826	0.3722
60 s	6977.987	0.008661	53.071	329.015	77.459	344.526	75.784	38.729	0.2582

Table 2. Basic parameters of inertial sensor

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Table 2. Basic parameters of inertial sensor

Technical indicator	Value
Bias stability /［（°）·h^-1］	≤0.02
Bias repeatability /［（°）·h^-1］	≤0.01
Random walk coefficient /［（°）·h^-1/2］	≤0.001
Threshold /［（°）·h^-1］	≤0.005
Scale factor	10150±200
Bandwidth /Hz	≥100

Table 3. Error of proposed advance pointing angle calculation method

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Table 3. Error of proposed advance pointing angle calculation method

Arc length /s	Velocity error of traditional method /（ $m \cdot s^{- 1}$ ）	Advance pointing angle error of traditional method /μrad	Velocity error of proposed method / （m·s^-1）	Advance pointing angle error of proposed method /μrad
10	1906.174	12.7078	9.879	0.0659
20	386.377	2.5758	5.014	0.0334
30	161.029	1.0735	2.607	0.0174
40	88.156	0.5877	2.123	0.0142
50	55.826	0.3722	2.113	0.0141
60	38.729	0.2582	2.103	0.0140

Table 4. Effect of camera delay on calculation results

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Table 4. Effect of camera delay on calculation results

Camera delay /ms	Data length used in data fusion algorithm /s	Arc length /s	Angular rate error /（ $μ r a d$ · $s^{- 1}$ ）	Velocity error / （m·s^-1）	Advance pointing angle error /μrad
0	10	10	4.7499	9.8986	0.0660
100	10	10	10.4488	21.2969	0.1420
200	10	10	16.0520	32.5037	0.2167
500	10	10	22.0422	44.4846	0.2966

Table 5. Effect of camera noise on calculation results

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Table 5. Effect of camera noise on calculation results

Camera noise /μrad	Data length used in data fusion algorithm /s	Arc length /s	Angular rate error /（ $μ r a d$ ·s^-1）	Velocity error / （m·s^-1）	Advance pointing angle error /μrad
0	10	10	4.7499	9.8986	0.0660
10	10	10	6.8998	14.1986	0.0947
30	10	10	15.7220	31.8437	0.2123
50	10	10	24.7281	49.8566	0.3324

Table 6. Effect of inertial sensor noise on calculation results

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Table 6. Effect of inertial sensor noise on calculation results

Inertial sensor noise /（ $μ r a d$ ·s^-1）	Data length used in data fusion algorithm /s	Arc length /s	Angular rate error /（ $μ r a d$ ·s^-1）	Velocity error / （m·s^-1）	Advance pointing angle error /μrad
0	10	10	4.7499	9.8986	0.0660
10	10	10	4.7610	9.9208	0.0661
30	10	10	5.5981	11.5951	0.0773
50	10	10	6.2861	12.9712	0.0865

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Xinbo Shao, Ziyong Yuan, Xialin Liu, Rong Shu. High-Accuracy Advance Pointing Angle Algorithm Based on Motion Information Fusion[J]. Acta Optica Sinica, 2022, 42(18): 1812003

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Jan. 18, 2022

Accepted: Feb. 25, 2022

Published Online: Jul. 27, 2022

The Author Email: Shu Rong (shurong@mail.sitp.ac.cn)

DOI:10.3788/AOS202242.1812003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology