Acta Photonica Sinica, Volume. 52, Issue 7, 0712001(2023)

Correction Method of Inter Satellite Angular Distance Based on Aberration Effect

Kaisheng ZHANG1...2,*, Xiuqin SU1 and Kai LIU1 |Show fewer author(s)
Author Affiliations
  • 1Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Science,Xi'an 710119China
  • 2University of Chinese Academy of Sciences,Beijing 100049,China
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    Figures & Tables(25)
    Schematic diagram of star simulator for spherical screen projection
    Schematic diagram of relative motion of main star and target star
    Design drawing of platform
    Angular position relationship of two star points
    Coordinate diagram of star points on image plane
    Schematic diagram of influence of aberration on star position
    Schematic diagram of the influence of aberration on the angular distance between stars
    Lateral offset caused by field curvature
    Optical system with focal length of 52.8 mm
    MTF curve of optical system
    Field & Astigmatism curve
    Distortion curve
    Partial star map generated by software
    Aberration effect on inter satellite angular distance
    Physical drawing of platform
    Projection star point test object
    Measured value of inter satellite angular distance error
    Fitting diagram
    Fitting curve of coma effect on azimuth
    Corrected inter satellite angular distance error
    • Table 1. Technical indicators of projection system

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      Table 1. Technical indicators of projection system

      ParameterValue
      Diagonal angle of view18°
      F#2.2
      Focal distance52.8 mm
      Wavelength460~650 nm
      Aberration≤1%
    • Table 2. Coma sum and coma size of each field of view

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      Table 2. Coma sum and coma size of each field of view

      Field of view/(°)Coma sum SⅡComa size/μm
      0.000 000.000 0000.00
      1.355 020.000 1510.36
      2.538 320.000 2820.74
      2.759 120.000 3070.82
      3.697 480.000 4121.19
      3.967 200.000 4421.32
      4.167 100.000 4641.41
      4.924 220.000 5491.81
      5.297 650.000 5912.03
    • Table 3. Positions of stars

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      Table 3. Positions of stars

      Star numberAzimuth α/(°)Angle of pitch β/(°)Inter star angular distance/(°)
      83.618 56-0.760 353.697 48
      122.014 223.418 543.967 20
      131.654 623.825 064.167 10
      141.414 215.105 915.297 65
      151.211 490.606 991.355 02
      160.133 334.922 424.924 22
      170.000 000.000 000.000 00
      18-0.068 722.537 392.538 32
      19-0.201 19-2.751 782.759 12
    • Table 4. Measured position of each star point

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      Table 4. Measured position of each star point

      Star numberAzimuth α/(°)Angle of pitch β/(°)
      83.621 82-0.760 89
      122.016 163.421 59
      131.656 053.829 04
      141.415 005.112 33
      151.212 450.607 47
      160.132 514.928 34
      170.000 000.000 00
      18-0.073 172.538 20
      19-0.201 77-2.752 90
    • Table 5. Position of star points after correction

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      Table 5. Position of star points after correction

      Star numberAzimuth α/(°)Angle of pitch β/(°)
      83.618 76-0.759 78
      122.016 163.419 37
      131.655 223.825 99
      141.414 735.108 99
      151.211 890.608 86
      160.135 014.923 34
      170.000 000.000 00
      18-0.067 622.535 42
      19-0.200 93-2.753 45
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    Kaisheng ZHANG, Xiuqin SU, Kai LIU. Correction Method of Inter Satellite Angular Distance Based on Aberration Effect[J]. Acta Photonica Sinica, 2023, 52(7): 0712001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Feb. 8, 2023

    Accepted: Apr. 3, 2023

    Published Online: Sep. 26, 2023

    The Author Email: ZHANG Kaisheng (zhangkaisheng@opt.ac.cn)

    DOI:10.3788/gzxb20235207.0712001

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