A method of predicting collisions between a mission air vehicle and an airborne object of a plurality of airborne objects present in a flight scenario of the mission air vehicle is described. The mission air vehicle and the airborne object move along corresponding routes. The method acquires data representing the state of flight and flight parameters of the plurality of airborne objects and the mission air vehicle; assigns to each of said airborne objects a mode of calculating the collision prediction; determines a subset of airborne objects to be surveilled; calculates equivalent routes for the mission air vehicle and for each airborne object of the subset; synchronizes the equivalent route of the mission air vehicle with the equivalent route of each airborne object of the subset; and calculates, for each airborne object, a collision prediction based on the synchronized routes according to an assigned calculation mode.