Skurj has it.
Your analysis would only work if the bandit followed your flight path exactly. In this case, if he is for example 500 yards behind you, he can start turning 500 yards before you did. Now even though his turning circle may be identical, he can offset his circle with yours (he starts turning at the same time, but 500 yards earlier) to pull lead angle and nail you in about a 1/4 turn. If he misses, he just keeps pulling constantly the same as you, and once every circle he will pull lead and have a shot since the two circles are offset slightly.
There are two more reasons you will die in this situation. You can't assume that the bandit will follow your flight path exactly. A smart one won't. He will displace his flight path from yours in the vertical to allow him to use exta energy in the vertical to have a smaller "circle" if you look at it from the top down. If you take two hoola hoops and put them on the ground, they are the same size in the horizontal plane. Now take one of the hoops and tilt it up 45 degrees vertically. If you look at it from the top down, the tilted hoop is now smaller in the horizontal plane. Even by displacing his flight path slightly, the bogey can get enough extra room to shoot you.
The third issue is speed and turn performance. You must maintain, say for example, 250 Mph to maintain your maximum G turn in your 38. Lets say I am chasing you in a Spit V. Now due to the different design of my plane, I can maintain that same maximum G at a lower speed than you can, say 180 Mph. In this case, all I have to do is slow down and my turning circle is then smaller than yours is. This makes it REALLY easy for me, since your hoop is bigger, so you are always "outside" of my turning circle. Hence, I can simply fly along in lead continually with you just sitting there right in my sights. Indeed your only hope is to turn this into a descending spiral and try to force me to screw up and over-shoot you. Versus a plane with a tighter turning radius such as in this example, you would likely fail, since the other fellow would be slower normally anyway. He'd just gun your bellybutton down easy as pie. How nice of you to fly along in his sights like that.
The answer to the problem is that you must know how your plane performs in comparison to the other fellow. If his machine is a better "turner", meaning he can turn in a smaller circle, you MUST avoid that situation. Generally, your solution is to have a greater amount of energy, and to use it to "tilt your hoop" in the vertical so you can have a shot at the bogey. The trick is you burn energy pulling G's and using the vertical with high yoyo's and such. Once you lose that energy advantage you had, you must extend and escape. You can use whatever advantages your plane has to try and turn the tables if possible, but if he can "out turn" you like that, you can't play that turning game and expect to live.
As I mentioned in the other thread, we need to discuss what plane you are flying. With that information, myself and others can help you with some alternate tactics to use versus various planes which will be more successful.
BTW, if you like to do the turning battle such as you describe, that's not a big issue. You will just need to pick a plane that has a small turning radius, such as the Zeke or the Spit V. In that case, you can be the guy that uses his smaller turning radius to get lead and kill the bad guy. On the flip side of the equasion, some bastige like me will come along in a P47 and won't let you get away with that. The positive of the Boom N Zoom type planes is their speed and firepower. So although your Spit would out-turn me, I would never let it get into a turning battle and give you the chance to use that smaller turning radius.
Great question! I love this game!
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Lephturn - Chief Trainer
A member of The Flying Pigs
http://www.flyingpigs.com "A pig is a jolly companion, Boar, sow, barrow, or gilt --
A pig is a pal, who'll boost your morale, Though mountains may topple and tilt.
When they've blackballed, bamboozled, and burned you, When they've turned on you, Tory and Whig,
Though you may be thrown over by Tabby and Rover, You'll never go wrong with a pig, a pig,
You'll never go wrong with a pig!" -- Thomas Pynchon, "Gravity's Rainbow"