Wow.. there's about 15 different answers to this one.. but I'll jump in and take the easiest possibilities
1. The aircraft behind you has a greater G margin than your aircraft at that particular airspeed. e.g. you're in a 190, he's in a Spitfire. You pull a max G turn and find that at your current airspeed you can pull maybe 5 G's. If your opponent, at that same airspeed, can pull 5.5 g's he can obviously cut inside your turn and draw lead on you.
2. Your opponent holds a turn rate advantage at the particular airspeed. Say your best turn rate at 5g's is 20 degrees per second. Your opponent may be able to sustain 25 degrees per second at the same airspeed, and will get around his circle much faster than you will.
3. He's using a little more vertical in his turn than you are, possibly a high yoyo and is using the free 1G of gravity to cut inside your turn.
4. When you break, he is doing something to displace the starting position of HIS break turn away from where you started to turn. Confusing? Well imagine this.. you're flying due north with an enemy in pursuit. You do a hard break turn to the right (east).
Now if your opponent flies exactly the same flight path as you, he will have to pull the same G loading in order to stay on your flight path, right?
But what if he uses the time between when you break, and when HE has to turn, to displace his flight path a little to the west? He could use either a barrel roll or 'vector roll', or even a rudder slip to open up your flight path. He can then start his turn from a point OUTSIDE your initial turn circle, and thereby pull less G's to fly the same flightpath you did. Less G's = less energy bleed, so he will have extra G available at the end of the turn to draw lead on you (assuming you are still turning). Robert Johnson talks about this move A LOT in the book 'Thunderbolt'. He used to use a skid away from his opponents turn to generate extra turning room.
Oh, one other thing. Remember that in real life not all aircraft are created equal in relation to blackout onset. The 109 and 190 series for example were renowned for the semi reclined positions for pilots, which increased their blackout tolerance. So, for example, a Spit V pulling 6 g's might have its pilot well into blackout, whilst a 109F pulling 6g's might have its pilot suffering only the beginning of tunnel vision.
Don't know if this is modelled in Aces High however... I think in this game blackout onset for all aircraft is identical.
OK, now over to the others to post the other 11 ways he could have done it
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When I was a child, I spake as a child, I understood as a child, I thought as a child: but when I became a man, I put away childish things.
Chapter 13, verse 11
[This message has been edited by Jekyll (edited 03-31-2001).]
