The mirror interval and radius of curvature of optical system including three mirrors are often changed due to the impact of space microgravity , which has a greater impact on the back focal length , and causes camera defocus and imaging quality reduction .Through the equivalent Gauss optical system analysis of three-mirror system , back focal length formula can be obtained .By homogeneous coordinate transformation , the reflection mirror rigid-body displacement formula is obtained , and a mirror radius is obtained in the micro-gravity environment using the least squares fitting algorithm .Finally, by calculating the camera in space mi-crogravity environment , the defocusing amount is 0.04 mm.Results provide a theoretical basis for the design of focusing mechanism .%由三块反射镜组成的光学系统在轨道空间微重力的影响下,其反射镜面间隔、曲率半径往往发生改变,对系统的后截距产生较大的影响,最终导致相机离焦,成像质量下降。通过分析三反系统的等效高斯光学系统,得到其后截距公式;通过齐次坐标变换,得到反射镜面刚体位移公式;通过采用最小二乘算法拟合计算得到微重力环境下的镜面半径,计算出相机在空间环境下的离焦量为0.04 mm,为调焦机构的设计提供了理论依据。
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