Trajectory Synthesis for Air Traffic Automation R. Slattery and Y. Zhao Abstract Trajectory synthesis algorithms that are key to the center-terminal radar approach control automation system (CTAS) developed at NASA Ames Research Center for air traffic control are discussed. CTAS generates computer advisories based on synthesized trajectories that help controllers to produce a safe, efficient, and expeditious flow of traffic over the extended terminal area. Trajectories are synthesized from initial aircraft positions to a metering fix or runway, depending on airspace. The horizontal path is constructed first from specified waypoints using straight lines and constant-radius turns. The vertical trajectory is divided into a series of flight segments. Three types of flight profiles are defined by connecting selected segments in a predetermined order: fast, nominal, and slow. Each profile can produce a certain range of arrival times. A second-order Runge-Kutta scheme is used for integrating a set of simplified point-mass equations to generate vertical trajectories. Then, an iterative scheme is employed to determine the speed that meets a specified arrival time. Several special case trajectories are also explained. Two flight scenarios are used to illustrate the use of trajectory synthesis algorithms.