Method for hovering an aircraft with respect to an axis with a controllable pitch angle

A method for hovering an aircraft having at least one wing and at least one rotary wing and at least one propeller, the aircraft comprising an autopilot system controlling a pitch of blades of the at least one rotary wing and a pitch of blades of the at least one propeller during a hovering flight phase in a hovering setpoint position with a controlled setpoint pitch angle, the method comprising a modification phase for modifying the setpoint position, the modification phase comprising generating a movement order with a human-machine control interface,

• wherein the modification phase comprises determining, as a function of the movement order, a setpoint lateral speed and a setpoint angular speed about a yaw axis of the aircraft with the autopilot system, and moving the aircraft, with the autopilot system, with the setpoint pitch angle as a function of the setpoint angular speed and the setpoint lateral speed.