Trig gives you the ideal gravityless distance but I'd compromise at 45km... but that seems to be with the targeting station. What isn't clear is the dumb "fire and forget" capacity of the missile (see target, point missile, shoot) on the occasions where the command/targeting vehicle isn't available.
10,000m is a significant climb though, at 45km out you'd be aiming to get 5,000 feet above that... which is very significant in terms of finite power.
I'd be very surprised to find that this system has a real-word effectiveness at over 30km from 10000m targets.
It's not about the physics, but the definition of the "max range". Picture this. A target 30 miles away at 20,000 ft is flying at Mach 1. You launch and miss because the target is moving slow enough to remain out of range while the missile is at or above its altitude. A second target comes in, at 30 miles and 20,000 ft again, and again you shoot. However this one is flying at Mach 2. The missile just barely hits it. What's the max range? Is it 30 miles? Then why couldn't you hit the first target 30 miles away? Without knowing the details that lead to the 45 km range figure, we can't apply it to this case without some uncertainty.
They could measure the distance the missile actually travels, but I'm not aware of this as a common method of measurement. Also, western air to air missile displays show the dynamic max range, NEZ, and min range based on estimated ability to intercept a target at a given closure speed and altitude instead of distance the missile actually travels. As far as I know this is pretty standard, but I'm not less familiar with soviet tech and even less familiar with ground based systems.
Going back to the first point, you should expect an airliner to sit in the upper end of "maximum range" since it's basically a sitting target. Cruise speeds are Mach .7-.8, this is similar to fighter cruise speeds. Cruise altitudes are also similar between airliners and fighters. That would make this condition a good benchmark for missile range, which makes me think max range figures
probably, but not certainly, are generally reliable without extreme modification. That's if the source for the numbers is good of course. If we really want to know someone either needs to dig up a documented test launch (good luck) or build a virtual model, which would require digging for missile CL, CD, thrust curves along with guidance systems information, etc.
The missile range itself isn't hindered by lack of the search radar, it is acquisition range that is limited. Guidance is the same in either (semi active radar, which is not fire and forget) case as it's the SR that cues the TR to the target. The problem with the TR stand alone is that it has limited capacity as a search tool.
Or you'd already turned your attention to the Far East...
