A method and a system for avoiding collisions between aircraft. The method includes computing a default fly out maneuver regarding how the aircraft shall be maneuvered during a fly out action, predicting a fly away path including a prediction of the position of the aircraft during the fly out maneuver, sending information about the own fly away path to the other aircrafts, receiving information about fly away paths from the other aircrafts, detecting an approaching collision, and activating the fly out maneuver upon detecting an approaching collision. The method further includes carrying out the following steps after activation the fly out maneuver: receiving the current position of the aircraft, and calculating a compensated fly out maneuver for the aircraft based on the current position of the aircraft, the previously predicted position, and the default fly out maneuver.