Aspects of the present disclosure reduce the possibility of a collision between multiple aircraft, and provide early detection and warning capabilities to pilots and ground personnel of a potentially dangerous situation. To accomplish this function, nested 3D volumes of protected space are generated as geometric solids for each of a plurality of aircraft and monitored. Upon detecting that the volumes of protected space associated with multiple aircraft intersect each other, alarm notifications are generated to warn appropriate personnel that the aircraft could come within an unsafe distance of each other.