AIM-4 FalconAIM 4 Falcon desk model. The Falcon AIM 4 was the first operation air to air missile used by the US Air Force. The original project name given this missile by the Hughes Corporation was MX 798. The missiles themselves were originally called GAR 1, but in the 1960s the designation changed to AIM 4. There were two main variations: the AIM 4A, C, and D could reach speeds of MACH 3 and the AIM 4F and G made it to MACH 4. While the development of these