I noticed something the other day that I hadn't noticed before.
We all know that turning an Odyssey is like rolling a boulder uphill.
However, at close to 0 throttle, the Odyssey rotates pretty quickly. In fact, it seems like it rotates faster at 0 throttle than most other large ships.
What I found the other day is that if I tap R to disengage the throttle, rotate while it's coasting to a stop, then tap R again to throttle back up it actually turns pretty well. There's still coasting, but it's a small price to pay to turn the nose of this behemoth in the direction I want it to go.
Now this was in an exploration cluster. I have not tried this in space combat, but I hope to give it a shot very soon.
When you reduce your throttle (but not to 0), your turn speed remains constant while your forward thrust goes down. If you are relatively close to your target (i.e. in firing range), this translates to a huge reduction in time it takes to face your target. If you don't reduce your speed you will end up just "orbiting" it.
In combat, I actually spend the vast majority of my time at two speed settings (for all my ships): 1/4 impulse and reverse impulse.
Related note 1: Your engine power level also affects your turn speed. Directing more power to engines still helps, even if you spend most of your time at 1/4 impulse.
Related note 2: Spending your time at 1/4 impulse isn't without disadvantages, though. Speed = defense in this game, so enemy shots will land more often.