A relevant identification of significant factors affecting the process of anti collision manoeuvre computation in case of moving obstacles, is necessary for getting results reliable enough and describing a proposed trajectory of such a manoeuvre as well as its realisation. The requirement for the appropriate separation, the airplane to obstacle distance, is treated as the relevant index for verification of the course of passing by manoeuvre. Subject matter of this work is the appropriate selection of mathematical models for the subsequent phases of preparation of flight trajectory passing by the obstacles. The impact of selected simplifications of mathematical model on the shape of flight trajectory and the distance between the airplane and obstacles have been studied. Considerations have been illustrated by the results of selected computer simulations of an airplane while carrying out an obstacle avoiding manoeuvre.