• Acta Photonica Sinica
  • Vol. 50, Issue 9, 0912006 (2021)
Gaofei SUN, Shanchi MING, Guoyu ZHANG, Shi LIU, and Da XU
Author Affiliations
  • Jilin Province Engineering Research Center,Jilin Province Engineering Research Center,College of Optoelectronic Engineering, Changchun University of Science and Technology,Changchun130022, China
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    DOI: 10.3788/gzxb20215009.0912006 Cite this Article
    Gaofei SUN, Shanchi MING, Guoyu ZHANG, Shi LIU, Da XU. Correction Method of Star Position Error for Splicing Star Simulator[J]. Acta Photonica Sinica, 2021, 50(9): 0912006 Copy Citation Text show less

    Abstract

    A correction method is proposed to improve the star map simulation accuracy of splicing star simulator, which overcomes the limitation of conventional methods in improving star map accuracy merely through correcting the principal distance. The aberration of a small distortion flat field high imaging quality collimating optical system is optimized after analyzing the working principle and usage of splicing star simulator. Based on aberration design results and the star position measurement model, the correction models for distortion, coma, curvature of field are created separately. In addition, a device for measuring star position accuracy is built by utilizing the theodolite and six-dimensional adjustment mechanism. According to measurement results, the correction model based on aberration theorise effective in improving the star map accuracy of splicing star simulator. The maximum star position errorr educes from 48.78" down to 10.75",meetting the technical requirements.
    ρ=x'2+y'2(1)

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    δρz'=ρz'-ρ(2)

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    (x',y')=x+δρz'cosarctanyx,y+δρz'sinarctanyx(3)

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    KT'=12(ρa'+ρb')-ρz'(4)

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    (x',y')=x+KT'cosarctanyx,y+KT'sinarctanyx(5)

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    LT'=Δρa'-Δρb'tanUa'-tanUb'(6)

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    l'-lz'ρz'=l'-lz'-LT'ρT'(7)

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    (x',y')=x+δρT'cosarctanyx,y+δρT'sinarctanyx(8)

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    γ=arctanxm-xn2+ym-yn2f(9)

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    Δxi,distortion=(ρzi'-ρi)cosarctanyixiΔyi,distortion=(ρzi'-ρi)sinarctanyixi(10)

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    Δxi,coma=12(ρi'+ρi')-ρi'cosarctanyixiΔyi,coma=12(ρai'+ρbi')-ρzi'sinarctanyixi(11)

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    Δxi,field=ρzi'-ρi-ρzi'(Δρai'-Δρbi')(tanUai'-tanUbi')(li-lzi')cosarctanyixiΔyi,field=ρzi'-ρi-ρzi'(Δρai'-Δρbi')(tanUai'-tanUbi')(li-lzi')sinarctanyixi(12)

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    ΔXi=κdistortionξdistortionhi3cosϕi+κcomaξcomaui2hicosϕi+κfieldξfielduihi2cosϕiΔYi=κdistortionξdistortionhi3sinϕi+κcomaξcomaui2hisinϕi+κfieldξfielduihi2sinϕiϕi=arctanyixi(0ϕi2π)(13)

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    γ'=arctanxm±ΔXm-xn±ΔXn2+ym±ΔYm-yn±ΔYn2f(14)

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    γm=arccos[cosβ0cosβmcos(α0-αm)+sinβ0sinβm](15)

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    Gaofei SUN, Shanchi MING, Guoyu ZHANG, Shi LIU, Da XU. Correction Method of Star Position Error for Splicing Star Simulator[J]. Acta Photonica Sinica, 2021, 50(9): 0912006
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