A process wherein an aircraft starts from a cruising position by flying at a cruising speed to reach a position that intercepts the glide slope. The process can include the steps of decelerating from the begin descent speed and the begin descent altitude of the aircraft during a first descent phase with a first flight path angle until reaching a predetermined speed corresponding to an aircraft speed at which the aircraft flaps are extended for transitioning to a first intermediate position; following a second phase of descent at a considerably constant speed with a second flight path angle; and decelerating during a third phase of descent with a third flight path angle to reach the glide slope interception position. The aircraft slats and/or flaps adopt their first intermediate position considerably when transitioning from the second to the third phase of descent.