Referring to FIG. 26B, a diagram of a process 2650 for adjusting a trajectory profile is shown. The process 2650 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. The process 2650 can be implemented by the flight management system 202 for the scenario where a same-side turn produces a “fish tail” impermissible flight condition. According to the process 2650, the distance (x) to translate the second turn center (TC2) in order to achieve tangency with the inbound and outbound courses is expressed as x=R2 (cot ??tan ∝).
Referring to FIG. 27, a diagram of a process 2700 for adjusting a trajectory profile is shown. The process 2700 can be implemented by the flight management system 202 for the scenario where a same-side turn produces an impermissible flight condition. According to the process 2700, the construction is for the first waypoint (WPT1) overfly transition that intercepts the first waypoint (WPT1) outbound course closer to the second waypoint (WPT2) than the beginning of the second turn (ITP2). A co-tangent straight segment is added at a point tangent to both arcs.