I did not say anything about the sustainer thrust.
The peak acceleration claimed in this source is 20G.
In this source it is 19.4G.
Interestingly I was mistaken to believe the 19.4 or 20G figure was for the HAWK motor. The I-HAWK motor is the second stage, and this shows a peak acceleration of approximately 15G with the motor being unable to maintain the peak thrust for a smooth climb. This is likely due to propellant degradation over time in my opinion. The start pattern should hold a better neutral plateau at the top than that.
Although we can more carefully re-create the thrust over time chart if you’d like because the acceleration is given for the rocket over the entire duration of the flight. We know the propellant mass fractions.
When I read this chart it is showing a total burn time from motor start to minimum thrust value of 7.11 seconds peaking at 15G and from there the thrust picks up for a total of 18.96 seconds peaking at 5G. Since the booster struggled to burn efficiently at the top end - it took longer to burn. The propellant didn’t just disappear. We can expect slightly higher peak figures, a shorter burn time, and thus a smoother plateau at the top of the burn on a “fresh” motor.
The mass of the rocket is 514kg. 15 * 9.81 = 147.15 m/s² acceleration.
Force is equal to mass times acceleration, a simple calculator will tell you that the resultant force of this acceleration and mass is approximately 75635.1 Newtons.
When I input this mass and adjust the fuel fractions I can find the reasonable ~255-260 ISP expected of this type of propellant (which is the same type and make as the AIM-7F/M’s… even produced in the same building)… I find the fuel fraction used in the booster to be close to ~212kg for this burn time and thrust. Although the thrust is likely lower and the acceleration increase is caused by the loss of mass over time which is why the booster goes from ~12.5 to 15G peak but I’m not taking that into consideration yet.
Thus, the sustainer starts at ~2G and with a remaining mass of ~301kg for the sounding rocket.
Again, F = MA. I’m going to use the nice round number of 3.75G average acceleration arbitrarily. (2 + 5 / 2 = 3.5, add a bit for benefit of the doubt).
We find a thrust average of 5905.62 Newtons over 18.96 seconds.
Using the correct values for mass and propellant mass specifically I’ll share my data;
Left is the real world expected performance based on my thrust calculations and the proper mass… the right one is the in-game missile.
We know from the grain pattern and acceleration chart that it should have a progressive burn. The available surface area increases as it burns since it is a simple circle pattern. I did the math earlier to determine it should have ~15% more surface area than the start of the burn by the time it ends.
Source