We present an analytical design method for the three-mirror anastigmatic (TMA) telescope with mirror spacings as the free design parameter. After the optical designer determines, the system focal length and the mirror spacings according to the design requirements, the design solutions of all TMA telescopes that meet the conditions can be obtained directly according to the formulas for the mirror radius and conic constants derived. The method here can predetermine the mirror position and system envelope size before design, and can quickly give all design solutions. We give a design example using the method and compare and discuss all design solutions of TMA.

中文翻译：

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以镜距为自由设计参数的三镜合影望远镜的解析设计方法

我们提出了一种将三目镜无视镜（TMA）望远镜的镜面间距作为免费设计参数的分析设计方法。光学设计人员根据设计要求确定系统焦距和反射镜间距后，即可根据反射镜半径和圆锥常数公式直接获得所有满足条件的TMA望远镜的设计方案。这里的方法可以在设计之前预先确定反射镜的位置和系统信封的大小，并可以快速给出所有设计解决方案。我们使用该方法给出一个设计示例，并比较和讨论TMA的所有设计解决方案。