Figured I'd tackle this one on Tribble. Hope this helps !
First off, relevant skills:
Starfleet Training
Starship Command 9
Cruiser Captain 9
Starship Combat Maneuvers 9
Heavy Cruiser Captain 9
Exploration Cruiser Captain 9
Assault Cruiser Captain 9
Starship Engineering
Starship Engineering Training 9
Starship Warp Core Training 9
Starship Auxiliary Systems Maintenance 9
Starship Engine Maintenance 9
Starship Auxiliary Systems Efficiency 9
Starship Engine Efficiency 9
Starship Engine Performance 9
Starship Auxiliary Systems Performance 9
Relevant gear was as follows:
- Assimilated Graviton Deflector Array (for the +5 Aux)
- Aegis Hyper-Impulse Engine
- the next best engine I was able to find between live,Tribble, crafting, emblems, and Marks was a Hyper Impulse X [Turn]x2, and that was 0.1 degrees less turn rate than the Aegis engine.
- RCS Accelerator XI (rare)
- x0 to x4 tested. All numbers involving skills and items were with x4 consoles.
Bridge Officer skills- x2 Emergency Power to Engines 2
- x2 Auxiliary Power to the Inertial Dampeners 2
I tried 2 power configurations 100 Engines/50 Aux (with skills 114/78) and 50 Engines/100 Aux (with skills 73/119)
100 Engines/50 Aux
0 RCS Accelerators - 11.5 deg/Sec
1 RCS Accelerators - 12.5 deg/sec
2 RCS Accelerators - 13.6 deg/sec
3 RCS Accelerators - 14.6 deg/sec
4 RCS Accelerators - 15.7 deg/sec
x4 RCS+EPtE2 - 16.0 deg/sec
x4 RCS+APtID2 - 20.6 deg/sec
x4 RCS+APtID2+EPtE2 - 21.1 deg/sec
x4 RCS+Evasive Maneuvers3 - 30.5 deg/sec
x4 RCS+Evasive Maneuvers3+EPtE2 - 30.9 deg/sec
50 Engines/100 Aux
0 RCS Accelerators - 10.4 deg/Sec
1 RCS Accelerators - 11.4 deg/sec
2 RCS Accelerators - 12.5 deg/sec
3 RCS Accelerators - 13.5 deg/sec
4 RCS Accelerators - 14.6 deg/sec
x4 RCS+EPtE2 - 15.5 deg/sec
x4 RCS+APtID2 - 21.4 deg/sec
x4 RCS+APtID2+EPtE2 - 22.3 deg/sec
x4 RCS+Evasive Maneuvers3 - 28.9 deg/sec
x4 RCS+Evasive Maneuvers3+EPtE2 - 30.2 deg/sec
Evasive Maneuvers3 = Deuterium Burn; they don't stack
Evasive Maneuvers3 doesn't stack with the turn/speed boost from APtID2. It overwrites it.