A determining system of an aircraft configured to, in communication with a control system of a remote station, determine an optimized trajectory to be followed by the aircraft, the determining system being configured to:
- acquire at least one constraint relative to at least one parameter of the trajectory to be followed, the at least one constraint being received from the control system by a transceiver forming a digital data transmission link between the aircraft and the remote station, wherein the at least one constraint is a function of current air traffic and comprises a maximum or minimum value of the at least one parameter of the trajectory to be followed;
- calculate a desired trajectory as a function of the at least one constraint, the desired trajectory being defined by the at least one parameter;
- transmit the desired trajectory to the remote station by the transceiver;
- acquire an instruction comprising an authorization to follow the desired trajectory or a refusal of the desired trajectory, the instruction being sent by the remote station and being received by the transceiver;
- follow the desired trajectory when the instruction comprises the authorization to follow this trajectory, and
- calculate a new desired trajectory when the instruction comprises the refusal of the desired trajectory, the transmission and the acquisition of the instruction then being repeated for the new desired trajectory, wherein said calculation of the new desired trajectory is carried out as a function of updated constraints based on the current air traffic.