INTRODUCTIONTo cope with the increasing demand in the crowded skies above and to make unmanned aircraft systems integrated flight operations possible diverse concepts of airspace organization and management are envisioned. The deciding factor for the autonomous-flight [8], free-flight [5], sector-less [1], and automated [3] airspace feasibility is the ability of the future Airborne Separation Assurance Systems (ASAS) onboard each aircraft airborne to correctly and timely detect every potential in-flight conflict of lost separation. However, the conflict can only be detected opportunely and accurately if the ASAS is based upon four-dimensional prediction of airborne traffic situation. The stability of the latter depends crucially upon the future trajectory of each and every aircraft aloft prediction accuracy.The problem is that with the existing technology and methodology the look-ahead time for the construction of accurate future trajectory of aircraft flight is reduced to only about 5 to 7 minutes in advance [6]. The longer look-ahead time results in predicted traffic situation instability [5] and consequently unreliability or even inability of conflict detection.A simple Traffic Collision Avoidance System-like model of flight predicts each aircraft future trajectory with extrapolation of its ground speed vector from the aircraft last position, while the aircraft ground speed vector is derived with interpolation between its last two known positions. For two aircraft encounters the simple model [9], where an aircraft about to descent and the intruder are denoted by index 2 and 1 respectively, can be written as: Obviously, this model (1) is based upon the presumptions of: (a) constant aircraft ground speed and direction v G , resulting in constant relative angles between aircraft in the horizontal y R and vertical q R plane, and therefore including (b) constant wind speed and direction, and (c) constant static state (temperature) of atmosphere as well. Impaired by the uncertainty in future aircraft trajectory, the simple model of aircraft relative flight (1) can be regarded as a short-range conflict detection instrument since it cannot account for the flight crew future intent regarding aircraft trajectory and flight regime as well as for weather conditions and future aircraft trajectory variations due to the aircraft true airspeed variableness. The longer look-ahead time based on the simple model of flight decreases the trajectory prediction accuracy which increases the air traffic controller safety margins as they are formed through experience and reflect the biasing of decisions to favour safety over accuracy including expectations regarding uncertainty in aircraft trajectory [7] reducing in the process the airspace utilization as well as air traffic flow efficiency.Because of the problem described, the ASAS on-board aircraft cannot assure conflict-free trajectory generation for descent through the autonomous flight airspace (AFA) as envisioned in [8] where probabilities of in-flight conflicts are dis...