Method for determining a trajectory of an aircraft, associated computer program product and determination module

A method for determining a trajectory of an aircraft and displaying the determined trajectory on a vertical display or navigation display of a flight managements system in a cockpit, wherein the method is implemented by an electronic module connected to the flight management system of the aircraft, comprising steps:

• determining a reference profile along a lateral trajectory precalculated based on a plurality of speed or altitude constraints, the precalculated lateral trajectory comprising a plurality of segments, the determining step comprising:
• searching in the precalculated lateral trajectory for at least one segment of discontinuity between two segments, called frame segments, the at least one segment of discontinuity comprising a lateral discontinuity;
• for the at least one segment of discontinuity, determining a required distance corresponding to a minimum flight distance between the two frame segments, allowing for compliance with the speed or altitude constraints while flying along the frame segments;
• and
• integrating the required distance into the reference profile;
• determining, based on the reference profile, vertical predictions related to a vertical trajectory of the aircraft;
• determining, based on the vertical predictions, a resulting lateral trajectory comprising for the at least one segment of discontinuity, determining a substitution segment connecting the two frame segments in a continuous manner, a length of the substitution segment being determined as a function of the required distance determined for the at least one segment of discontinuity;
• wherein the substitution segment for the at least one segment of discontinuity is displayed on the vertical display or navigation display representing the resultant lateral trajectory of the aircraft;
• displaying a graphical symbol on the vertical display or navigation display representing a deselection point for the at least one segment of discontinuity;
• wherein the determining the reference profile comprises sub-steps, which are carried out in reverse from an integration starting point and include:
• determining an intermediate endpoint and determining a geometric portion of the reference profile delimited by the integration starting point and the intermediate endpoint;
• searching on the geometric portion, for the at least one segment of discontinuity between two segments, the two segments including the frame segments;
• and
• when the at least one segment of discontinuity exists:
• determining the required distance for the at least one segment of discontinuity;
• and
• integrating the required distance into the portion of the reference profile.