A measuring apparatus for measuring the trajectory of a target object includes a receiving device having a primary mirror and a secondary mirror; a first detector for detecting first electromagnetic radiation having a first wavelength and a second detector for detecting second electromagnetic radiation having a second wavelength. The primary mirror is designed to reflect the first electromagnetic radiation and the second electromagnetic radiation and to direct the radiation onto a focal region. The secondary mirror is arranged between the primary mirror and the focal region and is designed to reflect only the second electromagnetic radiation in the direction of the second detector. The first detector is arranged behind the secondary mirror in the focal region of the primary mirror.