To enhance target-tracking accuracy during maneuvers, we develop (1) a post-update compensation (PUC) method to contain the maneuvering errors and (2) a maneuver indicator to signify the start and end of a maneuver. Tracking of a maneuvering target is formulated as post-update compensation (PUC), in which a non-maneuvering tracker such as the α-β filter is allowed to propagate and update its estimates based on the innovations (defined as the difference between a measurement and its prediction/a priori) without maneuver consideration. Maneuver-induced errors are then removed from the state updates/a posteriori, yielding compensated estimates based on the residuals (defined as the difference between a measurement and the one generated from the state update). This post-update compensation (PUC) scheme is equivalent to Dale Blair's [3] two-stage estimator but simpler in formulation. Simulation results are presented to illustrate the PUC scheme with error analysis as well as implications of the enhanced tracking methods to increase track life, reduce location errors of maneuvering targets, and techniques for sensor management as to when to schedule an observation for target identification.