Minimization of the flying time of the aerodynamic body in a danger zone

A method of creating an uncontrolled mechanical trajectory of an aircraft with the aim to reduce the flying time in a danger zone is offered. The problem is considered in the deterministic setting with known characteristics of a danger zone. One of the known measures to increase the probability of overcoming a danger zone (fire, severe weather conditions, etc.) is the aircraft’s spatial maneuvering. However, this approach is not applicable for devices that do not have the motor and controls. In this case implementation of other measures to increase the probability of overcoming danger zones is required. Such a device can be conventionally called an aerodynamic body (AB). To increase the probability of overcoming a danger zone, it is offered to minimize the flying time of the aerodynamic body in this zone by forming the corresponding AB trajectory. The trajectory can be formed by changing initial conditions of AB motion. Initial conditions that determine trajectory parameters include AB speed and the slope of the flight path at the start point of movement. The solution of the problem is reduced to the determination of initial conditions of the aircraft motion, which provide an increase of probability of overcoming a danger zone. The paper presents the results of a numerical experiment in studying a number of typical trajectories.