Prediction and verification of an aircraft takeoff trajectory with high-altitude obstacles

A method for predicting the trajectory of the aircraft takeoff, complicated by the presence of high-altitude obstacles on the course, is proposed. The method is based on the energy approach to flight control. The energy balance equation is extended to the ground modes of motion. The predict determines the possibility of take-off much earlier than the flight rules establish. Algorithms for calculating the distances to the decision point for takeoff, to the point of lifting the nose wheel and the rolling reserve within the runway are obtained. The results of statistical tests demonstrated high accuracy and reliability of the prediction.