It is proposed to use the gun barrel or launcher tube or the muzzle brake as a waveguide, which, however, is operated at a frequency that is below the cutoff frequency of the relevant waveguide mode. The transmit coupler excites the relevant waveguide mode. An oscillator generates the signal, which is then sent to the transmit coupler. The waveguide and the projectile form a system in which the electromagnetic field at the receive coupler is influenced by the position of the projectile. The characteristic change over time of the strength of the electromagnetic field at the location of the receive coupler that results from the change in the distance between the projectile and the receive coupler is measured and used to determine the muzzle velocity.