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Acta Optica Sinica, Volume. 39, Issue 5, 0504003(2019)

Method Suitable for Initial Orbit Determination of Space Targets Using Camera Array

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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    AbstractGet PDF(in Chinese)
    Figures&Tables (9)
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    Figures & Tables(9)
    Flow chart of angle data acquisition

    Fig. 1. Flow chart of angle data acquisition

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    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

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    Space target transit map

    Fig. 3. Space target transit map

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    Actual image of space target

    Fig. 4. Actual image of space target

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    Image after preprocessing

    Fig. 5. Image after preprocessing

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    Fluctuation in semi-major axis error versus arc of data

    Fig. 6. Fluctuation in semi-major axis error versus arc of data

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    • Table 1. Partial results of centroid extraction and star map matching

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      Table 1. Partial results of centroid extraction and star map matching

      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 2. Fitting results of plate constants

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      Table 2. Fitting results of plate constants

      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 3. Orbital semi-major axis errors by different methods

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      Table 3. Orbital semi-major axis errors by different methods

      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
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    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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    Paper Information

    Category: Detectors

    Received: Nov. 27, 2018

    Accepted: Jan. 21, 2019

    Published Online: May. 10, 2019

    The Author Email:

    DOI:10.3788/AOS201939.0504003

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology