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For a catadioptric system with an object at a given position, made of a lens followed by a mirror and including an aperture (in the object space) located on the lens, calculates the image position, the magnification, the numerical aperture in the object space and the numerical aperture in the image space as functions of the mirror radius, the effective back focal length of the lens, the distance between the lens and the mirror and the aperture diameter in the object space.