This method comprises a step of determining (115) a vertical trajectory of the aircraft comprising sub-steps of calculating (120, 130) an initial trajectory section and N following trajectory sections, to compose (135) the vertical trajectory of the aircraft from the calculated trajectory sections and freeze this vertical trajectory. The method further comprises steps for determining (140) a status of each of the altitude constraints along the entire vertical trajectory of the aircraft, each status being chosen between an attainable status when the corresponding altitude constraint is satisfied. and a status missed in the opposite case, and display (150) to the operator of the vertical trajectory of the aircraft and the altitude constraints determined status.
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