Referring to FIG. 12, a diagram of a process 1200 for adjusting a trajectory profile is shown. The process 1200 can be performed by flight management system 202 of FIG. 2. The process 1200 illustrates an example of modifying at least one aspect (e.g., the second segment 262) of the initial trajectory profile 232 by modifying at least one of a location of a center of a first turn included in the second segment 262 of the initial trajectory profile 232, modifying a location of a center of a second turn included in the second segment 262 of the initial trajectory profile 232, or both. The second turn may be immediately subsequent to the first turn in the initial trajectory profile 232.
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 FIG. 12 using a rule-based decision.