Analysis of Imaging Limit Capability for Natural Rendezvous of Low Earth Orbit Debris

Yaru LI; Liang ZHOU; Zhaohui LIU; Wenji SHE; Kai CUI

doi:10.3788/gzxb20245308.0811003

Journals >Acta Photonica Sinica >Volume 53 >Issue 8 >Page 0811003 > Article

Acta Photonica Sinica
Vol. 53, Issue 8, 0811003 (2024)

Analysis of Imaging Limit Capability for Natural Rendezvous of Low Earth Orbit Debris

Yaru LI^1,2,3, Liang ZHOU^1,3,*, Zhaohui LIU^1,3, Wenji SHE^1,3, and Kai CUI^1,2,3

Author Affiliations

¹Xi′an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences， Xi'an 710119， China

²University of Chinese Academy of Sciences， Beijing 100049， China

³Key Laboratory of Space Precision Measurement Technology， Chinese Academy of Sciences， Xi'an 710119， China

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DOI: 10.3788/gzxb20245308.0811003 Cite this Article

Yaru LI, Liang ZHOU, Zhaohui LIU, Wenji SHE, Kai CUI. Analysis of Imaging Limit Capability for Natural Rendezvous of Low Earth Orbit Debris[J]. Acta Photonica Sinica, 2024, 53(8): 0811003 Copy Citation Text

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Fig. 1. Schematic diagram of the close-range imaging scene before and after the moment of rendezvous

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Fig. 2. The target state under the camera line-of-sight direction before and after the rendezvous moment

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Fig. 3. Flow chart of coordinate transformation from spatial target points to image points

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Fig. 4. The relationship between

V_{r}

，

L_{a x i s}

，

ω_{r o t}

and

p

within ±10 s of rendezvous moment

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Fig. 5. The relationship between different variables and image motion

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Fig. 6. Comparison of theoretical calculated values and fitted values of image motion for different orbits

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Fig. 7. Different image motion correspond to imaging results

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Fig. 8. The relationship between spatial resolution and intrinsic image motion

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Orbit	Semi major axis $a / k m$	Eccentricity $e$	Inclination $i / (°)$	Argument of perigee $ω / (°)$	Right ascension of the ascending node $Ω / (°)$	Mean anomaly $M / (°)$
Platform （A）	7 103.490	0.053 256 4	98.566 5	38.606 0	3.375 2	18.970 0
Target （A）	7 006.707	0.052 186 2	97.864 1	120.527 7	325.149 0	278.301 8
Platform （B）	7 005.490	0.053 256 4	98.566 5	38.606 0	3.375 2	309.860 0
Target （B）	6 994.337	0.051 489 2	97.892 9	128.579 4	90.906 4	224.438 0
Platform （C）	6 968.490	0.053 256 4	98.566 5	38.606 0	3.375 2	315.880 0
Target （C）	6 782.478	0.001 680 7	73.566 1	228.144 3	99.822 3	349.244 8

Table 1. Imaging platform and space target orbit parameters used for model construction

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Orbit	$θ / S_{r e s} / p$		$τ / S_{r e s} / p$		$τ / S_{r e s} / p$		$ω / θ / p$
Orbit	R²	RMSE	R²	RMSE	R²	RMSE	R²	RMSE
A	0.999	0.083	0.999	0.146	0.997	0.064	0.995	0.043
B	0.995	0.096	0.994	0.217	0.984	0.079	0.986	0.029
C	0.997	0.059	0.998	0.163	0.990	0.048	0.983	0.028

Table 2. Fitting accuracy of image motion for respective orbits

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Image motion/pixel	Percentage decline	Image motion/pixel	Percentage decline
0.2	1.64%	0.8	24.3%
0.3	3.66%	1	36.32%
0.5	9.96%	1.5	69.96%

Table 3. MTF reduction under different image motion

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Orbit	$a / k m$	$e$	$i / (°)$	$ω / (°)$	$Ω / (°)$	$M / (°)$
Platform	6 775.490	0.003 256 4	38.566 5	38.606 0	3.375 2	326.400 0
Target	6 801.676	0.003 753 5	97.098 3	192.342 8	19.794 0	166.801 0

Table 4. Imaging platform and target orbit parameters used for model accuracy verification

Yaru LI, Liang ZHOU, Zhaohui LIU, Wenji SHE, Kai CUI. Analysis of Imaging Limit Capability for Natural Rendezvous of Low Earth Orbit Debris[J]. Acta Photonica Sinica, 2024, 53(8): 0811003

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