Dogfight with FA ON-OFF, i use this manoeuvre when i've a scum on my six (or i overshoot him):
It's inspired by the "Pugacev's Cobra" aerobatic/combat move, at least for the first part (the FA ON one)
FA ON
- Two (or Three, depends to the situation) pips on the engine (better turn rate)
- Throttle at optimal blue line (more speed + more turn rate)
- All stick up (because is more simple to look up due to the cockpit upper)
- Thrust bit up
Your ship starts to rotating up and changing the speed vector: this is the "Cobra" quoted above

When my cobra is 90 degree to the enemy behind, it's very vulnerable because the enemy, if he's facing me, has a greater area to shoot at, then:
FA OFF
- Throttle at lower side of the blue band
- All stick up quickly
- Thrust all down until you face the enemy (or gimbal weapon can target it)
You need to be very precise doing this manouvre: with FA OFF, thrusting down when rotating ship up, you can "slide" your aim quickly to the enemy. However you need to be careful on this because you can enter in a "ship spin" nullifying "de facto" the advantage gained with this type of rotation.
FA ON
- Throttle at blue line
- Shoot with everything you have (1 pip engine, 2 or 3 pips to weapon)
Some side note:
- Do not use rotation to chase enemy with crossfire, rather use up-down with thrust left-right and avoid "jousting" with him (shooting directly face-to-face) because NPCs have the nasty abit of "ramming" you.
- When i read "surge detected" i prepare myself with booster, "pipping" accordingly my engines, or, if the enemy is facing me, i thrust left or right to exit from his line of fire and vector, then i start again the "Cobra Maneuvre" when enemy had overshoot me.
PS:
Here you can find the "real" Pugacev's Cobra:
http://en.wikipedia.org/wiki/Pugachev%27s_Cobra