The missile comprises at least one separable propulsion stage and a terminal vehicle arranged to the front of the separable propulsion stage, said missile being provided at the front with a separable protective fairing comprising at least two individual shells and with a connecting part connected to the missile towards the rear beyond the position of the rear end of the terminal vehicle. The protective fairing is configured such that, when mounted on the missile, it surrounds all of the terminal vehicle and it is connected at the rear end to the connecting part by means of articulated connecting elements.