A system for time-stamping the passage of a moving object is provided. The system includes a telescope, a satellite geolocating system and an electronic processor, the telescope comprising a focusing optic, a mechanical shutter and a CCD sensor comprising the function referred to as “time delay and integration”. When the moving object passes through the field of the telescope during a period wherein the mechanical shutter is open, the shift of the charge of a pixel in the rows of the CCD sensor ensured by the TDI function is carried out at least once at a time defined by the satellite geolocating system, shifting the trace of light left by the image of the moving object along a column of pixels, the electronic data processor determining the exact position of the moving object at the defined time depending on knowledge of this column and of the position of the telescope.