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There are several reasons for the Bf 109 being harder to control at higher speeds and all were correctable. Just two of the reasons were as follows:
1) The aircraft had no rudder trim and the pilot would tire of keeping pressure on the rudder at speeds higher or lower than the trimmed speed.
There is always a need for rudder pressure when accelerating. One at a particular speed and in cruising flight, there is a speed where no rudder presure is required. It is usually set with a ground-adjustable tab but, in the case of the Bf 109, the vertical fin was not symmetric. It was airfoiled to fly straight at a "trimmed" speed.
Not sure what that speed WAS, but I assume it was near the natural cruising speed. This probably puts it at about 260 - 280 mph, right slap dab in the middle of it best maneuverability envelope.
If cruising faster or slower the pilot had to maintain rudder pressure in one direction or the other. If accelerating or decelerating, same story.
I was flying Green One in Greenbelt Squadron. We were on course and on time when the bombers called for help. We headed south and joined them, finding them quite happy.
One small question: why Bf 109 become heavy controllable at high speeds, while for example P-51 or Fw 190 doesn't have such problems ... ??
For the Bf 109, the mechanical advantage was not enough for higher speeds, which were not in Messerschmitt's mind as normal maneuvering speeds when the Bf 109 was designed, particularly in roll. Later Bf 109s were fitted with a taller stick to give extra leverage when the real problem could have been solved by moving the fulcrum of the control stick. Unfortunately it would have interrupted the production line right when Germany could not afford to have that happen.
It could do aileron rolls that would tear the wings off the opposition, but wasn't too good at either instaneous or sustained turn rate.
... Kill 'em when they land ...
The Me 109 may well have used the same stick. You can't calculate anything from that unless you have the fulcrum distance ... and you don't seem to have it.
The aerodynamic loads are due to aileron design considerations, airspeed load, and fulcrum. The pilot, in such a small space as a Bf 109 cockpit, sould only supply so much side force for roll. It wasn't enough to give decent roll response above 350 mph or so, at least in the Bf 109 ...
and the later models were considerably faster than that, so your statement above doesn't hold up, according to history.
German tests done on a well worn 109F in late 1944 (it should be considered the 109G had more rigid, reinforced wings, so wing flexing would be less noticable) show that the aircraft could have a maximum stick deflection with 30 kg stick force, and still possess have it's peak ca.80-90 degrees/sec roll rate at ca 625 km/h TAS at 3 km altitude. That's about the maximum TAS possible for the fastest 109 variant, the K at this altitude.
Again, this is with an old F version with less stiffer wings, and no Flettner tabs on the ailerons as was done on many 109Gs. At higher altitudes, the roll rate is higher, and the stick forces are less - this is generally true for all planes.
As for the Fw 190, the fulcrum, aerodynamic design, or cockpit leverage position were enough better to compensate.
Again the FW 190 had exactly the same stick and exactly the same leverage on the stick.
Sorry, but late war Me 109 designs did NOT correct the roll problems, Fletner tabs notwithstanding. It was then and remains now a bad roller at high speeds.
This is your opinion. German testing shows the ailerons Flettners made it 2/3 aileron deflection possible at .70+ Mach speeds.
So, the Spitfire was better than the Bf 109 when rolling at higher speeds, was always equal ro better at turn rate, and remained that way until the end of the series.
Early Spitfires were definietely not, even British testing shows they can't compete at 200 mph, and at 400 mph they can achieve about the same roll rate, albeit with far greater stickforce required.
Later Spitfires are hard to judge, because no full test flight of roll rate of serial production Spitfires seem to exist. British testing, comparing Spitfire roll rate to the Mustang however shows 72 lbs stickforce is required to achieve a steady 45 degree roll rate a 400 mph IAS. The NACA concluded that 40 lbs is the maximum possible, and with that force, full stick deflection was possible up to 140 mph IAS.
However, Dave Southwood who both the original Bf 109G and (elliptic wing ) Spitfires says the roll rate of the two types is very similiar, and I believe he is probably right. High speed roll rate was not a forte of either types, but it seems it was generally OK if a bit stiff up the their level flight Vmax.
The history I have read by William Green, Eric Brown, and many other says the Bf / Me 109's were great airplanes, but were NEVER fast rollers at high speeds, and none mentions any significant improvements in my references. In fact, they all state quite categorically that the Bf / Me 109 was traveling in a straight line when over 400 mph and there was nothing the pilot could do about it except slow down and turn ... if he was able to do so, that is.
If think it says more about your references than the 109. There were definiete improvements.
Vertical dives are NOT conducive to slowing down, and many went into the ground at high speed in dives.
As did other planes.
Overall, probably the best desrcription of the Mustang would be a fair, good over-all fighter that's best quality was speed and range, and was not exceedngly great or poor in any other regard. A jack of all trades, master of none.