Abstract: A high-quality motion simulation based on the sampled simulated motion of a piloted object or vehicle and a system to provide visual information to teach a user how to manipulate the object's controls to achieve the displayed motion. The invented method includes piloting the object, periodically sampling various characteristics of the object while it is in motion, providing the sampled information to a processor, interpolating additional characteristics of the object that represent its motion and position between chronologically adjacent pieces of sampled information, and rendering an apparently smooth presentation of the object's motion. The invented method may also include presenting the control parameters used to produce such motion in order to teach a viewer how to manipulate the controls to achieve the desired motion.