Infrared and Laser Engineering, Volume. 54, Issue 7, 20250009(2025)
Initial orbit determination of space debris based on modulated brightness signals and genetic optimization
Figures & Tables(15)
Fig. 1. Schematic diagram of spatial filtering speed measurement method
Fig. 7. Luminance signals of different targets before and after processing and the corresponding spectra. (a) COSMOS-1408 DEB; (b) FENGYUN-1C DEB; (c) IRIDIUM-33 DEB; (d) COSMOS-2251 DEB
Fig. 8. Distribution of fitness functions of the four objectives in the solution space. (a) COSMOS-1408 DEB; (b) FENGYUN-1C DEB; (c) IRIDIUM-33 DEB; (d) COSMOS-2251 DEB
Table 1. Observation station parameters
View tableView in ArticleTable 1. Observation station parameters
Parameter Value Field of view/(°) 2×2 Pixels 4068 ×4068 Pixel size/μm 15 F number 3.5 Entrance pupil diameter/cm 50 Noise equivalent irradiance/W·cm−2 1×10−15 Detector irradiation saturation/W·cm−2 3×10−13 Integration time/ms 20 Station site (43.817°N, 125.324°E) Observation mode Gaze Line of sight jitter/mrad 0.05
Table 2. Target orbit parameters
View tableView in ArticleTable 2. Target orbit parameters
Target COSMOS-1408 DEB FENGYUN-1C DEB IRIDIUM-33 DEB COSMOS-2251 DEB NORDAD 52066 29734 33953 47074 Observed time/s 8 16 10 8 Semi-major axis/km 6835.26 7679.78 7107.96 7158.75 Eccentricity 0.008879 0.062820 0.000597 0.015946 Inclination/(°) 82.623 99.078 86.321 73.949 Argument of perigee/(°) 127.311 329.632 212.188 258.073 Right ascension of the ascending node/(°) 211.814 133.157 259.132 29.975 Mean anomaly/(°) 318.611 273.622 100.365 246.732
Table 3. Calculated and true values of target angular velocity
View tableView in ArticleTable 3. Calculated and true values of target angular velocity
Target Calculated value True value $ \dot{\alpha } $ $ \dot{\delta } $ $ \dot{\alpha } $ $ \dot{\delta } $ COSMOS-1408 DEB − 0.004513 − 0.002046 − 0.004473 − 0.002078 FENGYUN-1C DEB 0.001489 0.002157 0.001558 0.002117 IRIDIUM-33 DEB 0.003551 0.002838 0.003499 0.002848 COSMOS-2251 DEB − 0.002221 0.003571 − 0.002257 0.003527
Table 4. Parameters related to genetic algorithms
View tableView in ArticleTable 4. Parameters related to genetic algorithms
Parameter Value Population size 700 Crossover fraction 0.8 Function tolerance 1×10−6 Constraint tolerance 1×10−3 Mutation standard deviation 10 km
Table 5. Calculated and true values of target distance and rate of change of distance
View tableView in ArticleTable 5. Calculated and true values of target distance and rate of change of distance
Target Calculated value True value Relative error $ \rho $ $ \dot{\rho } $ $ \rho $ $ \dot{\rho } $ $ \rho $ $ \dot{\rho } $ COSMOS_1408 DEB 1665.23 −3.05 1698.11 −2.88 1.94% 6.25% FENGYUN_1C DEB 2796.81 −2.04 2795.83 −2.18 0.00% 6.42% IRIDIUM_33 DEB 1755.90 1.34 1769.79 1.24 0.78% 8.01% COSMOS_2251 DEB 1710.18 −2.02 1737.52 −1.94 1.57% 4.12%
Table 6. Target initial orbit determination error
View tableView in ArticleTable 6. Target initial orbit determination error
Error COSMOS-1408 DEB FENGYUN-1C DEB IRIDIUM-33 DEB COSMOS-2251 DEB Semi-major axis error/km −56.60 −72.90 −5.71 −109.88 Eccentricity error − 0.007421 − 0.04002 0.001103 0.005546 Inclination error/(°) 0.557 0.122 −0.521 −0.769
Table 7. The initial orbit determination error of the Laplace method and the Gauss method
View tableView in ArticleTable 7. The initial orbit determination error of the Laplace method and the Gauss method
Error Method COSMOS-1408 DEB FENGYUN-1C DEB IRIDIUM-33 DEB COSMOS-2251 DEB Semi-major axis error/km Laplace 17044.19 1344.50 −569.37 991.34 Gauss 17005.62 1344.07 −569.35 991.00 Eccentricity error Laplace 0.7092 0.09456 0.08167 0.1140 Gauss 0.7087 0.09459 0.08165 0.1140 Inclination error/(°) Laplace 9.914 − 0.9656 0.1237 − 0.3412 Gauss 9.914 − 0.9659 0.1260 − 0.3431
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Han PEI, Jiulong WANG, Yan XING, Shuaiwei MU, Jinfeng LI, Le LIU, Sheng CAI. Initial orbit determination of space debris based on modulated brightness signals and genetic optimization[J]. Infrared and Laser Engineering, 2025, 54(7): 20250009
Paper Information
Category: 光电测量
Received: Jan. 3, 2025
Accepted: --
Published Online: Aug. 29, 2025
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