A Star Sensor Calibration Method Based on Attitude Correlated Frame

Yu Liu; Dongkai Dai; Liheng Ma; Sihua Fu; Xingshu Wang

doi:10.3788/AOS201737.1128003

Journals >Acta Optica Sinica >Volume 37 >Issue 11 >Page 1128003 > Article

Acta Optica Sinica
Vol. 37, Issue 11, 1128003 (2017)

A Star Sensor Calibration Method Based on Attitude Correlated Frame

Yu Liu, Dongkai Dai^*, Liheng Ma, Sihua Fu, and Xingshu Wang

Author Affiliations

College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China

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DOI: 10.3788/AOS201737.1128003 Cite this Article Set citation alerts

Yu Liu, Dongkai Dai, Liheng Ma, Sihua Fu, Xingshu Wang. A Star Sensor Calibration Method Based on Attitude Correlated Frame[J]. Acta Optica Sinica, 2017, 37(11): 1128003 Copy Citation Text

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Fig. 1. Actual imaging model of star sensor

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Fig. 2. Schematic of correlation among multi-frame star maps

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Fig. 3. Reprojection errors with different star points noises under (a) constant zero bias and (b) random walk condition

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Fig. 4. Distributions of reprojection errors. (a) Cartesian coordinate; (b) polar coordinate

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Fig. 5. RMS errors of intrinsic parameters under different pixel noises of star points. (a) x0; (b) y0; (c) f; (d) maximum residual distortion

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Gyro parameter	Content	Star sensor parameter	Content
Frequency	100 Hz	Frequency	1 Hz
Angular speed	0.5(°)·s^-1	Resolution	1024 pixel×1024 pixel
Initial attitude	[0 0 0]	Image center coordinate	(10 pixel, -10 pixel)
Installation matrix	[2 2 2]	Focal length	25.6 mm
Gyro bias	0.03(°)·h^-1	Radial distortion coefficient	[2×10^-4 -4×10^-7 1×10^-8]
Angular random walk error	0.005(°)·h^-1/2	Tangential distortion coefficient	[2×10^-4 2×10^-4]

Table 1. Simulation parameters of gyro and star sensor

Parameter	$\begin{matrix} {x_{0}}_{} \end{matrix}$ /pixel	$\begin{matrix} {y_{0}}_{} \end{matrix}$ /pixel	f /mm	q₁	q₂	q₃	p₁
Simulation value	10	-10	25.6	2×10^-4	-4×10^-7	1×10^-8	2×10^-4
Initial value	0	0	20	0	0	0	0
Calibration value	9.81	-10.51	25.6002	1.96×10^-4	-1.84×10^-9	-1.72×10^-8	1.99×10^-4
Error	0.19	0.51	0.0002	4×10^-6	-3.98×10^-7	2.72×10^-8	1×10^-6
Parameter	p₂	φ₁	φ₂	φ₃	θ₁	θ₂	θ₃
Simulation value	2×10^-4	56.9476°	-1.0046°	-25.3335°	2°	2°	2°
Initial value	0	0°	0°	0°	0°	0°	0°
Calibration value	1.98×10^-4	56.9550°	-1.0084°	-25.3325°	2.0019°	1.9950°	2.0001°
Error	2×10^-6	26.64″	13.68″	3.6″	6.84″	18″	0.4″

Table 2. Average calibration results from ACF calibration method

Yu Liu, Dongkai Dai, Liheng Ma, Sihua Fu, Xingshu Wang. A Star Sensor Calibration Method Based on Attitude Correlated Frame[J]. Acta Optica Sinica, 2017, 37(11): 1128003

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