Najam Khan
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Combat radius of any aircraft depends on different factors. Its not a constant figure. It depends on the load the aircraft is taking meaning weapon configuration, depends on the different altitudes the aircraft is gonna keep achieving while on its mission.
F-16s combat radius of 550KM is based on a weapon load of 6 450KG bombs (1000Lbs each) plus a hi-lo-hi mission altitude configuration.
I am pretty sure JF-17s combat radius with full weapon load would be either equal to or a little less when compared to F-16, as JF-17 has a less powered engine and full weapon load is also less then F-16.
The lower altitude mission the aircraft is in, the lower would its combat radius would get, the higher the altitude the higher the combat radius with same load configuration, but with aerial refueling things can change too.
So, end result, combat radius of aircraft depends on lots of factors and am sure JF-17s combat radius with full weapon load on a hi-lo-hi mission is not gonna be 1000KM+, rather near the half figure. Yeah with less load, may be it can cross the 1000Km range.
Two important points as mentioned by Taimi are load and height, If you fly at 30,000ft the aircraft will be floating through the skies, using a very small amount of fuel, take a real life example of 14 Sqn F16s(early 90s) going from Minhas to Karachi to perform on air show with just one 370 gallon center line fuel tank and then returning home with same fuel ie without landing/refueled.
In the real combat, mission objectives may change anytime, un-expected things can bring the attacker on defence, in such deep-strike missions the first priority is given to fuel in external tanks(fuel tanks), which can be jetessioned anytime, releasing the drag created by it.