Abstract
In order to guarantee the safety of flight in free flight environment, the minimum safety distance is needed to study. Considering the response delay of pilots and the lead time prior to initiating a maneuver, the latest maneuver moment is proposed. The position errors, which were affected by communication, navigation and surveillance (CNS) performances, were regarded as Brownian motion along the coordinate direction respectively. Then a model for collision risk in free flight environment was established basing on the stochastic differential equations. The latest maneuver moment can be obtained using dichotomy to optimize under the given Target Level of Safety (TLS). Introducing the time margin, the minimum safety distance is calculated. Finally, the feasibility of the model is verified by example.
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