In high altitude, high speed regime where long shots occur you just have to remain outside the no-escape zone of the missile or outmaneuver it, once it has lost sufficient amount of kinetic energy.
So we make differences: For long shots AMRAAM needs guidance updates, the course corrections needed if the target is suddenly 10km off what it was programmed for, will just reduce its kinetic energy. Kinetic energy is everything in such long range shots, so the longer updates are provided, the higher the PK.
Regarding kinetic energy: On wiki, the AIM-7E which Iran used in the war is stated to have 45km range. Do you think any IRIAF F-4 achieved such a long range shot?
This is a ideal value for high speed, high altitude release against a target that approaches with mach 2+ and does not maneuver.
The real value for the IRIAF was 20-25km, less than half of what is officially stated. The same applies for the AMRAAM, which is even smaller an lighter than the AIM-7. How could it ever reach 180km as stated on wiki without breaking basic rules of physics?
A clean, 1/3 remaining fuel F-15 at 50k feet and mach 2,3 with a single AIM-120D releasing it against a mach 2,2 target drone on direct collision course? Maybe if it does zero maneuvering, yes, but this laboratory conditions tells us nothing.
With modern energy optimized trajectories, the best solid fuel technology available and under realistic conditions, maybe its range is between 40-50km which is twice (!!!) that of the AIM-7E. Something lighter having twice the range is already a huge feat.
Now if a F-15 at max. reheat and altitude does it, maybe 60km is possible for the latest versions (+ continuous course updates till seeker activation) against a fighter target and 80km against a target with max. 2g maneuvering capability.
Its here where the 3 times heavier Fakkur shows its benefits: more thrust.
Now the Fakkur should always be used at max. altitude and max. speed, so that the combination pushed F-16 armed with AMRAAM out of the who shots first game.
well , there is no safe option escaping AMRAAM
An AMRAAM is a relative small and light missile. After the F-14, operating close to friendly airbases completes the Fakkur engagement, it will start to diverge from the incoming AMRAAM. The farther away it moves from the max. range launched incoming AMRAAM the lower the kinetic energy of the non-powered AMRAAM --> the lower the speed gets, the less Gs it can pull to hit the target. At some point a standard 2g maneuver is sufficient to evade it. For example: At the edge of the envelope an AMRAAM is able to kill any target, even targets pulling 12g but if the target has moved 10km (at max. afterburner and clean) from that no escape zone a 2g maneuver will make it miss.
So yes, if the conditions are correct, an AMRAAM can be evaded: The Tomcat with Fakkur can shot about 40 seconds sooner than the AMRAAM equipped F-15, this 40 seconds benefit can then be used to out-run the "zombie" AMRAAM. 40 seconds are 24km at mach 2 which is sufficient to turn the zombie AMRAAM into a subsonic floating round that may could hit an airliner with some luck.
High altitude, high speed areal warfare is just about numbers/maths and timings. If the Fakkur offers that extra margin over the AMRAAM, it does the job and the cheaper it does, the job the better.
also its first time I hear drop your missile when you face enemy .
I have heard about external pods , I have heard about Bombs , but never about missiles.
Basically you just need to know how fast the enemy missile is approaching you, the relative locations and which missile type it is. If you aircraft's warning system knows those information, it can calculate what kind of evasion maneuver you need to do at least to survive. If the calculation is 15g, you better start to flee as soon as possible. If it is 9g you get rid of anything hanging from your F-15/-16 and hope that everything goes as planned. If it is 5g then you can keep your AAMs, yes.