Abstract:

In this paper, a three-dimensional two-aircraft air-to-air combat problem is studied by using differential game theory. and the way to determine the capture ranges and dangerous ranges made up of entry direction of target, barrier and isochrone for two-aircraft is given. We plot specifically the capture ranges and dangerous ranges for two real aircraits, and the properties of these ranges are discussed. The conclusions obtained agree with the real air-to-air combat situation.

Key words: differential game, air-to-air combat, capture range, dangerous range