A special additional optical system (AOS) to develop any telescope into a zoom or a variable-focal-length telescope (variotelescope) is proposed. This system permits the telescope optics and detector (charge-couped device) to be matched in order to obtain the best resolution. An analysis of the resolution of the system consisting of the ‘V-telescope and detector' is performed, and it is shown that the best way to match the optics and detector is to change the focal length, that is to change the image scale. The proposed AOS consists of two spherical mirrors: a large concave mirror and a small convex mirror. The AOS is illustrated by means of figures and tables.