Referring to
For example, after an impermissible flight condition is detected, the flight management system 202 applies one or more correction algorithms to create a smooth and continuous trajectory profile (e.g., the modified trajectory profile 242) for the aircraft 100 based on the flight conditions 250. For the scenario where the S-turn produces a “bi-quad” impermissible flight condition, the flight management system 202 can select an algorithm described with respect to
According to the process 1700, turn centers are translated and then moved apart. For example, the first turn center (TC1) is moved along a line parallel to its inbound course and the second turn center (TC2) is moved along a line parallel to its outbound course until a straight segment tangent to the two turn arcs reaches a fixed distance. The fixed distance can be set to accomplish a maneuver goal such as being sufficient to achieve a particular roll-anticipation-distance for a particular turn radius and speed of the aircraft 100.