@MilSpec @MastanKhan Sir, its ok you came up with some idea which is great and try to explain some with calculation of speed and direction etc. I want to add something in your discussion ignore if you find it unnecessary and rubbish. I will limit only to the F22 against the X fighter plane with loads of BVR which will be fired on F22.
First F-22 is the airsuperiority fighter with the stealth, powerfull radar, center fussion of various passive and active sensors and extremely powerful calculating mission computer (rumor is that they are using intel core i-8 or 10 who knows)and long range modified BVR aim120E, which give the f-22 a distinctive advantage of over the top attack profile.
As a airsuperiority fighter F-22 have very power Aesa radar with 2000 modules for first detect, first shoot capability.
All your calculation of the radars and the detection range have a flaw and that is it is only valid in the ideal condition and on paper that is both planes are coming in the perfect opposite direction and at the same altitude. The radar could be visualize in mind like the torch light with the conical shape in the dark which is in search of the enemy. The one with the bigger and powerful radar have much chances to detect the target, the same rules also follows for the AWAAC which will have the most powerfull radar airborne but it does not indicates that it will detect all air target outside the beam shape of the radar. F-22 distintive advantage of the passive sensors makes it possible for the pilot to avoid the radar range and even target it with the passive weapons. This technique has been tried by the european somehow in the form of SPECTRA with limited ways. Now in dark if you turn you torch on then you loose all your stealth and you will show your location to the enemy, so F-22 will keep its radar off, but by doing that it won't get the enemy location and could not target the enemy with its BVR, then how it will achieve its target is explained bellow.
Coming to the 1 bvr fired to the highly agile fighter plane scenario, first the modern BVR which is 50g capable and 4mach speed have very large turn radius as compare to the 9g 1mach fighter plane and the pilot could outperform or dodge the bvr missile with various aerodynamic turn technique like barrel roll, etc and certainly TVC is not required for achieving it only problem is the speed of BVR gives pilot less time to decide like 15-25 sec max.
For targetting F-22 as the Mastan sir have suggested that the barrage of BVR fighter, will give more chances in the sucessful. targetting, but for that you need to first detect the airsuperiority target which have more advantage which is explained bellow.
1. F-22 can use other F-22 radar for acquiring the clear picture off the battle field and also can target using that.
2. F-22 have the modified AIM 120c7 BVR with the top attack capability which increases the overall range (no oem discloses its true range, the range told are only the marketing value), and give him the distincive protection against the ECM jammers, stealth from MAWS etc.
3. F-22 have much powerful mission computer or the supercomputer airborne which is capable of doing calculation thousands time for the passive detection and thus even allow the pilot to check the location of the enemy out of the range of its sensors.
4. F-22 acts more like the sniper aka the enemy could not see him but it can target the enemy from the long distance. Now if 3 F-22 and 12 X are going face to face, the first F-22 is flying way backward that its other 2 F-22 and only him have its radar turn on and others F-22 are getting the information or the radar pictures passively with the unique datalink with high and fast bandwidth. The enemy X could only see first F-22 which is outof range of firing BVR but the two F-22 which are 20-30 km more forward is invisible to the enemy, who would be indulging in marking the targets the X enemy in the memory of the mission computer which will fire the barage of the BVRs automatically with the computer aided targeting and say 10 X fighter planes are distroyed due to the fact the distance from which the BVR was fire gives the BVR no space to dolge and 2 X survives using their flares and other countermeasures.
5. The remaining 2 X planes will be then enganged with the 2 F-22 in dogfight in which it is an expert with 3-d TVC and high manuverability.
This is all for the time being folks. He He
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Z4ZOHAIB Challo janab aap hi ko hamari bakwas achi lagi, thanx