  Information about the waypoints of a moving object, e.g., an airliner in an
air traffic control (ATC) problem, should be considered in trajectory modeling
and prediction. Due to the ATC regulations, trajectory design criteria, and
restricted motion capability of airliners there are long-range dependencies in
trajectories of airliners. Waypoint information can be used for modeling such
dependencies in trajectories. This paper proposes a conditionally Markov (CM)
sequence for modeling trajectories passing by waypoints. A dynamic model
governing the proposed sequence is obtained. Filtering and trajectory
prediction formulations are presented. The use of the proposed sequence for
modeling trajectories with waypoints is justified.
