• Acta Optica Sinica
  • Vol. 39, Issue 5, 0504003 (2019)
Biao Yang*, Yingchun Li, and Tinghua Zhang**
Author Affiliations
  • Department of Electronics and Optical Engineering, Space Engineering University, Beijing 101416, China
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    DOI: 10.3788/AOS201939.0504003 Cite this Article Set citation alerts
    Biao Yang, Yingchun Li, Tinghua Zhang. Method Suitable for Initial Orbit Determination of Space Targets Using Camera Array[J]. Acta Optica Sinica, 2019, 39(5): 0504003 Copy Citation Text show less
    Flow chart of angle data acquisition
    Fig. 1. Flow chart of angle data acquisition
    Schematic of camera array system. (a) Camera subsystem; (b) tracking servo subsystem
    Fig. 2. Schematic of camera array system. (a) Camera subsystem; (b) tracking servo subsystem
    Space target transit map
    Fig. 3. Space target transit map
    Actual image of space target
    Fig. 4. Actual image of space target
    Image after preprocessing
    Fig. 5. Image after preprocessing
    Fluctuation in semi-major axis error versus arc of data
    Fig. 6. Fluctuation in semi-major axis error versus arc of data
    Star numberImage coordinate x /pixelImage coordinate y /pixelEquatorial coordinate α /(°)Equatorial coordinate δ /(°)
    HIP 1030891416.00212584.1766313.311544.3873
    HIP 1028432005.16492318.5091312.521444.0600
    HIP 1030941329.48883364.0074313.327445.1817
    HIP103519516.51832590.8398314.581844.4721
    HIP 103371784.38953060.8471314.144944.9247
    HIP 103532682.024695.9971314.629141.9399
    HIP 103341981.15071592.8118314.048343.4243
    HIP 103596489.1077463.5052314.852642.3245
    HIP 103559443.10602178.4723314.731944.0605
    HIP 1031081568.8774640.0534313.360042.4102
    Table 1. Partial results of centroid extraction and star map matching
    Undetermined coefficient of ξValueUndetermined coefficient of ηValue
    a000.0204b00-0.0365
    a10-1.7829×10-5b10-1.5840×10-6
    a01-1.5904×10-6b011.7486×10-5
    a201.6086×10-10b203.6079×10-11
    a111.4127×10-10b114.1362×10-11
    a029.1907×10-12b027.6195×10-11
    a30-3.3668×10-14b30-1.0863×10-15
    a21-3.7448×10-14b21-1.6664×10-14
    a12-2.1602×10-14b12-1.3729×10-15
    a03-1.0092×10-15b03-1.2851×10-14
    Table 2. Fitting results of plate constants
    Data duration /minSemi-major axis error /km
    Laplace methodGauss methodUVM1Improved Laplace methodProposed method
    140.11735.80817.41421.41315.291
    228.4268.7463.1558.2872.876
    320.74117.650-1.6044.357-1.907
    411.3759.793-0.9931.007-0.312
    Table 3. Orbital semi-major axis errors by different methods
    Biao Yang, Yingchun Li, Tinghua Zhang. Method Suitable for Initial Orbit Determination of Space Targets Using Camera Array[J]. Acta Optica Sinica, 2019, 39(5): 0504003
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