An aircraft landing gear door comprises a rigid one-piece panel (14), hinged onto the aircraft structure by arms (18). The panel (14) is installed such that it pivots on the arms (18) in order to prevent any risk of contact between the panel (14) and the wheels (40) as the door opens and closes when the landing gear is extended, and a jack (34) automatically varies the angle .PHI. formed between these two parts, according to a predetermined kinematic law. A control system (28) automatically controls the jack (34) as a function of the jack (26) being actuated to control opening and closing of the door.