It all boils down to equations that describe the world accurately, and a way of experimentation, iteration, thinking that gets us all the way to do something this unbelievably complex.
I like starting from the fact that Ptolemy was able to get the accuracy of the "motions of the heavens" down so well that it took more than a thousand years to get observations that showed discrepancies. The math, it maths.
You really don't have anything like that when playing golf, so I don't thin it is a good analogy.
But for the old Sprint anti balistic missile - that was spot on. :D Hitting ICBM warheads kilometers abobe ground, second before detonation - yeah, that fits. It also dispelled the myth that you can't communicate to compact craft due to re-entry plasma. Of course you can, just use a 30 MW radar beam & it will get through just fine! Not to mention the Sprint missile was protected by an ablative heatshield and covered by plasma going up during launch. :D
It’s all in fun, really, like the old analogies involving hard drive heads and jet planes.
All of these factors and more have to be taken into account if you want your predictions to be accurate. Aside from telemetry processing, most of the computing power on the ground during a space mission is used for churning out navigation solutions.
Fun info: The NASA orbital codes include things like photon pressure... from sunlight reflected off of other planets in the solar system. At some point, I think they are just showing off :)
We can do this because of war.
We know where it will land accurately because that maths and physics has been sharpened with butt loads of data. Even the reentry blackout has links to war in Plasma Stealth[0].
That data was mostly obtained because we want to know where our ICBM warheads will land. And where the enemies ICBM warheads will land so we can work on the problem of shooting them down.
The Russian Kinzhal missile can hit targets at mach-10, with a plasma aura making it's terminal phase hard to track on Radar. But after some data was collected Patriot missile systems were able to intercept about 1 in 3 air launched Kinzhal missiles. Then minor terminal adjustments were introduced and interception fell to about 1 in 20. Now there's a constant cat and mouse game going on in Ukraine.
On the one hand that's a good thing, our combative efforts being sublimated into curiosity of the world.
On the other hand, we still put far more effort into furthering our ability to destroy the world.
Kinzhal is just an air-launched version of Iskander with a bit better energetics because of not launching stationary from the ground. It's not a magic superweapon.
Its terminal manoeuvring is hardly new, Pershing II was doing that back in the 70s.
The top speed of a ballistic missile (that you're citing) is not the same as its speed in the interception-relevant section of the flight, because atmosphere gets denser and slows missiles down (and manoeuvring slows MARVs down even further). The Ukrainian operators claim that the observed speed was close to Mach 3.6.
The primary interceptor for the higher energy Kinzhal would be THAAD, not PAC-3. Sadly, Ukraine didn't get THAAD.
"Plasma stealth" is a sci-fi fabrication. The US had no problem tracking ICBM RVs with their much higher speeds close enough for a direct hit during a Sprint test back in the 70s.
But the interception rate for the Kh-32 is basically nonexistence (<1%).
The Kh-22/32 is why mach-5 + maneuverability is the current goal of offensive missile systems.
The plasma has complex interaction with radar, it's not stealth as in entirely invisible just chaotic scattering and reflections. The result is a jamming effect preventing a definite intercept solution.
On the other hand the plasma shows up on satilite based IR tracking systems.
But when it comes to space technology, if it was possible to produce the same technology by targeting the required technology directly, we can’t say it was because of war only because some of the inventions of war were re-used. It eould be like saying we have a 45th president thanks to Trump - it would be absurd as we’d have a 45th president anyway.
So I do not think there is enough grounds to attribute this mission’s success to war - with some of the war’s budget, NASA could have invented the required technology anyway.