Optics and Precision Engineering, Volume. 29, Issue 12, 2902(2021)

Stereo celestial positioning of space-based double satellites to space target

Ju-bo ZHAO1,*... Ting-ting XU2,3, Xiu-bin YANG2,3 and Qiang YONG2 |Show fewer author(s)
Author Affiliations
  • 19294Troop, PLA, Huludao 2500, China
  • 2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun130033, China
  • 3University of Chinese Academy of Sciences, Beijing10009, China
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    Figures & Tables(19)
    Imaging models of a star compared with a space target
    Morphological distinction between the star and the space target
    Schematic of two space-based satellites positioning on a space target
    Transmission relationship between the target and the projection point
    Schematic of the observation vector transmission process
    Schematic of the two vectors intersection positioning
    Ground experiment equipment of space-based detection
    Space target in the experimental star image
    Rectangularity distinction between space target and star
    Detection and extraction for space target
    Schematic of orbital position relationship between two observation satellites and a space target
    Positioning result of the proposed method
    Distribution of the x-axis-error taking five kinds of errors in consideration
    Star map images
    • Table 1. Parameters setting of payload and target detection indicators

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      Table 1. Parameters setting of payload and target detection indicators

      ParametersValue
      Detection metrics/cm@200km15
      Detection wave band/μm0.4-0.7
      Pixel size/μm6.5
      Focal plane size/pixel4 096×4 096
      Focal/mm220
      Aperture/mm110
      Dark current noise e-/pixel/s3
      Readout noise e-1.3
      Average quantum efficiency0.6
      Optical system transmittance0.8
      Exposure time/ms2.3
      Pixel filling factor0.7
    • Table 2. Coordinates of the target on image plane

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      Table 2. Coordinates of the target on image plane

      NumberActual coordinatesExtracted coordinates
      x/pixely/pixelx/pixely/pixel
      Payload1-1 900.31 576.5-1 900.251 576.45
      Payload2-1 596.91 578.5-1 596.951 578.53
    • Table 3. Orbital elements and attitude of two observation satellites and a target satellite

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      Table 3. Orbital elements and attitude of two observation satellites and a target satellite

      ParametersObservation satellite 1Observation satellite 2Target
      Semimajor axis/km6 928.146 928.147000.14
      Eccentricity000
      Inclination/(°)97.552 197.552 197.7141
      Right ascension of ascending node/(°)203.282203.282163.536
      Argument of perigee/(°)000
      True anomaly/(°)0.108 268.108 260
      Roll angle /rad00
      Pitch angle/rad0.034 90.031 3
      Yaw angle/rad2.203 42.035 6
      Elevation angle/(°)9090
      Azimuth angle/(°)00
    • Table 4. Location error result of Monte Carlo error simulation

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      Table 4. Location error result of Monte Carlo error simulation

      Error type

      Location error

      (Standard deviation)

      Only location error10.08 m
      Only attitude error71.62 m
      Only orbit error62.04 m
      Only installation error62.12 m
      Only coordinates error21.7 m
      With above five errors114.62 m
    • Table 5. Parameters of Monte Carlo error simulation

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      Table 5. Parameters of Monte Carlo error simulation

      Error typeParametersDistribution typeValue
      Location errorLocation/mNormal(mean 0)Standard deviation 10
      Attitude errorRoll angle/(°)Normal(mean 0)Standard deviation 0.001
      Pitch angle(°)
      Yaw angle/(°)
      Orbit errorInclination /(°)Normal(mean 0)Standard deviation 0.001
      Right ascension of ascending node/(°)
      Argument of perigee/(°)
      Installation errorElevation angle/(°)Normal(mean 0)Standard deviation 0.001
      Azimuth angle/(°)
      Coordinates errorx axis /pixelUniform0.33
      y axis /pixelUniform0.33
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    Ju-bo ZHAO, Ting-ting XU, Xiu-bin YANG, Qiang YONG. Stereo celestial positioning of space-based double satellites to space target[J]. Optics and Precision Engineering, 2021, 29(12): 2902

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    Paper Information

    Category: Information Sciences

    Received: May. 16, 2021

    Accepted: --

    Published Online: Jan. 20, 2022

    The Author Email: ZHAO Ju-bo (811074631@qq.com)

    DOI:10.37188/OPE.20212912.2902

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