Abstract: A method of calculation, by a flight management system termed FMS, of a trajectory flown by an aircraft comprises the steps, calculated by the FMS, of: for at least one transition of the trajectory arising from the flight plan: 1) determining an initial transition comprising at least one arc exhibiting a single initial turning radius, 2) determining an initial trajectory incorporating the initial transition, 3) determining for each parameter a plurality of predicted values of the parameter in the course of the initial transition, 4) determining a plurality of ordered subdivisions of the arc of the initial transition according to a predetermined criterion, 5) determining, for each subdivision, an associated turning radius, 6) determining an improved transition on the basis of the ordered subdivisions and of the successive associated turning radii, 7) determining an improved trajectory incorporating the improved transition, 8) displaying the improved trajectory to a pilot of the aircraft.

Abstract: A method of calculation, by a flight management system termed FMS, of a trajectory flown by an aircraft comprises the steps, calculated by the FMS, of: for at least one transition of the trajectory arising from the flight plan: 1) determining an initial transition comprising at least one arc exhibiting a single initial turning radius, 2) determining an initial trajectory incorporating the initial transition, 3) determining for each parameter a plurality of predicted values of the parameter in the course of the initial transition, 4) determining a plurality of ordered subdivisions of the arc of the initial transition according to a predetermined criterion, 5) determining, for each subdivision, an associated turning radius, 6) determining an improved transition on the basis of the ordered subdivisions and of the successive associated turning radii, 7) determining an improved trajectory incorporating the improved transition, 8) displaying the improved trajectory to a pilot of the aircraft.

Abstract: A method of computing an aircraft trajectory, between a departure point and an arrival point, comprises: loading the departure point and a departure angle; determining two waypoints; loading the arrival point and an arrival angle; determining two departure circles of respectively left and right type, which are tangent to the oriented departure straight line respectively on the left and on the right, and passing respectively through the waypoint of left type and through waypoint of right type; determining two arrival circles of respectively left and right type which are tangent to the oriented arrival straight line respectively on its left and on its right and passing through the arrival point; determining a plurality of continuous geometric lateral trajectories comprising an initial portion comprising a portion of a departure circle, a final portion equal to a portion of an arrival circle, and an intermediate portion.

Abstract: A method of computing an aircraft trajectory, between a departure point and an arrival point, comprises: loading the departure point and a departure angle; determining two waypoints; loading the arrival point and an arrival angle; determining two departure circles of respectively left and right type, which are tangent to the oriented departure straight line respectively on the left and on the right, and passing respectively through the waypoint of left type and through waypoint of right type; determining two arrival circles of respectively left and right type which are tangent to the oriented arrival straight line respectively on its left and on its right and passing through the arrival point; determining a plurality of continuous geometric lateral trajectories comprising an initial portion comprising a portion of a departure circle, a final portion equal to a portion of an arrival circle, and an intermediate portion.