Modelling of the ejection process in a symmetrical flight

This paper presents a mathematical model of the ejection seat trajectory in a symmetrical design. The component speeds and displacements of the seat in function of time are determined by means of an analytical method. The model takes into account the change of air density in function of height and the change of free fall acceleration dependent on the latitude and flight height of the seat. The gravity load that acts on the pilot in the chest-back direction in function of the flight height and speed is determined. The mathematical model with the initial conditions is used for creation of a computer application with the use of MATLAB software, owing to which it was possible to obtain the flight trajectory of the seat in relation to the aircraft and in relation to the ground. The minimum distance which the seat flows over the vertical stabilizer depending from the pilot's mass and the aircraft speed is determined.