Automatic adaptation of the vertical profile of an aircraft on the basis of a positional uncertainty

A method implemented by a computer located on board an aircraft, comprising:

• obtaining an estimated 3D position of the aircraft, at least one safety distance defining, around the estimated position of the aircraft, a zone within which the actual position of the aircraft is located with a probability equal to or higher than a predefined threshold, a lateral path of the aircraft, a vertical flight profile of the aircraft, and a terrain and obstacle database;
• determining a 3D flight corridor of the aircraft, taking into account the at least one safety distance around the lateral path and vertical profile;
• projecting said 3D corridor onto the terrain and obstacle database;
• verifying existence of a conflict between the 3D corridor and at least one obstacle of the terrain and obstacle database;
• if a conflict exists, modifying the vertical profile to increase the altitude of the aircraft at the location of said conflict;
• guiding the aircraft according to the lateral path and the vertical profile.