Cruise missile, comprising: a fuselage which defines a longitudinal missile axis and forms an interior; a fuel tank, arranged in the interior, for receiving liquid fuel; an engine arranged at a rear end of the fuselage; a fuel pump for conveying liquid fuel from the fuel tank into the engine; at least two control fins, arranged in the region of the rear end of the fuselage and radially spaced apart therefrom; at least two aerofoils, radially spaced apart from the fuselage and arranged between the control fins and a front end of the fuselage in terms of the longitudinal projectile axis; an actuator system, kinematically coupled to the aerofoils, for moving the aerofoils relative to the fuselage in such a way that a sweep angle (α) of the aerofoils relative to the longitudinal projectile axis is variable; and a control device which is set up: - to provide pump control signals for controlling a fuel conveyance rate of the fuel pump, - to determine a current fuel mass present in the fuel tank from the pump control signals, - to determine a current position of a centre of mass of the cruise missile in terms of the longitudinal projectile axis from the determined current fuel mass; and - to generate actuator control signals for actuating the actuator system, so as to set a current position of an aerodynamic pressure point of the cruise missile in terms of the longitudinal missile axis as a function of the current position of the centre of mass. a fuselage which defines a longitudinal missile axis and forms an interior; a fuel tank, arranged in the interior, for receiving liquid fuel; an engine arranged at a rear end of the fuselage; a fuel pump for conveying liquid fuel from the fuel tank into the engine; at least two control fins, arranged in the region of the rear end of the fuselage and radially spaced apart therefrom; at least two aerofoils, radially spaced apart from the fuselage and arranged between the control fins and a front end of the fuselage in terms of the longitudinal projectile axis; an actuator system, kinematically coupled to the aerofoils, for moving the aerofoils relative to the fuselage in such a way that a sweep angle (α) of the aerofoils relative to the longitudinal projectile axis is variable; and a control device which is set up: - to provide pump control signals for controlling a fuel conveyance rate of the fuel pump, - to determine a current fuel mass present in the fuel tank from the pump control signals, - to determine a current position of a centre of mass of the cruise missile in terms of the longitudinal projectile axis from the determined current fuel mass; and - to generate actuator control signals for actuating the actuator system, so as to set a current position of an aerodynamic pressure point of the cruise missile in terms of the longitudinal missile axis as a function of the current position of the centre of mass. - to provide pump control signals for controlling a fuel conveyance rate of the fuel pump, - to determine a current fuel mass present in the fuel tank from the pump control signals, - to determine a current position of a centre of mass of the cruise missile in terms of the longitudinal projectile axis from the determined current fuel mass; and - to generate actuator control signals for actuating the actuator system, so as to set a current position of an aerodynamic pressure point of the cruise missile in terms of the longitudinal missile axis as a function of the current position of the centre of mass.