A Formal Approach to the Analysis of Aircraft Protected Zone

The protected zone represents a region around a given aircra ft that no other aircraft should penetrate for the safety of both aircraft, and defines the minimum separation requirements. In this paper, three major components of the protected zone and their interplays are identified: a vortex region, a safety buffer region, and a state-uncertainty region. A systematic procedure is devised for the analysis of the state-uncertainty region. In particular, models of trajector y controls are developed that can be used to represent different modes of pilot an d/or autopilot controls, such as path feedback and non-path feedback. Composite protected zones under various conditions are estimated, and effective ways to reduce sizes of protected zones for advanced air traffic management are examined.

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