Abstract: A method includes selecting a landing waypoint on a runway and selecting a starting waypoint based on a location/heading of an aircraft relative to the runway. The method includes selecting additional waypoints between the starting waypoint and the landing waypoint. The starting and additional waypoints include latitude, longitude, and altitude variables. A sequence of waypoints from the starting waypoint to the landing waypoint via the additional waypoints indicates a desired location for the aircraft to traverse. The method includes generating location constraints for the starting and additional waypoints and generating an objective function for optimizing at least one of the variables. Additionally, the method includes generating a solution for the objective function subject to the location constraints. The solution includes latitude, longitude, and altitude values for the variables.

Abstract: A method includes selecting a landing waypoint on a runway and selecting a starting waypoint based on a location/heading of an aircraft relative to the runway. The method includes selecting additional waypoints between the starting waypoint and the landing waypoint. The starting and additional waypoints include latitude, longitude, and altitude variables. A sequence of waypoints from the starting waypoint to the landing waypoint via the additional waypoints indicates a desired location for the aircraft to traverse. The method includes generating location constraints for the starting and additional waypoints and generating an objective function for optimizing at least one of the variables. Additionally, the method includes generating a solution for the objective function subject to the location constraints. The solution includes latitude, longitude, and altitude values for the variables.

Abstract: An aircraft includes a display and an avoidance system. The avoidance system is configured to determine a first predicted trajectory of the aircraft, determine a second predicted trajectory of an additional aircraft, and determine a conflict zone volume based on an intersection between the first predicted trajectory and the second predicted trajectory. The conflict zone volume indicates a predicted volume of airspace in which the aircraft and the additional aircraft experience a loss of separation. The avoidance system is configured to render a conflict zone on the display based on the conflict zone volume. The rendered conflict zone graphically represents the conflict zone volume on the display.

Abstract: A method includes selecting a landing waypoint on a runway and selecting a starting waypoint based on a location/heading of an aircraft relative to the runway. The method includes selecting additional waypoints between the starting waypoint and the landing waypoint. The starting and additional waypoints include latitude, longitude, and altitude variables. A sequence of waypoints from the starting waypoint to the landing waypoint via the additional waypoints indicates a desired location for the aircraft to traverse. The method includes generating location constraints for the starting and additional waypoints and generating an objective function for optimizing at least one of the variables. Additionally, the method includes generating a solution for the objective function subject to the location constraints. The solution includes latitude, longitude, and altitude values for the variables.