Shortround6,once you are dealing with high speeds you have more variables to come out and play with
Drag goes up with the cube of speed.
Your Lift goes up with the square of the speed.
The engine power (as opposed to propeller efficiency) is a combination of air density (not much change in speed) and the RAM effect of the intake and the pressure ratio of the supercharger on WW II airplanes.
Some of this is somewhat academic.
If your plane will only fly at 330mph true instead of 345mph true at 10,000ft due to hot temperatures you aren't going to know it. You are going to be looking at IAS for airspeed and the airspeed indicator is reading the existing air pressure (density). If the enemy airplane is also by 10-15mph from it's "book" figures it is going to take a long tail chase to to figure out the speed difference.
The speed/climb differences at 80-150mph when taking-off and landing are what can kill you every time you take-off and land.
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I have no idea why they figured out the chart this way instead of using 59 Degrees (standard day) but the Army Charts are measured from O degrees C and 32 degrees F. (maybe they figure you know the difference between your boots sliding on ice or splashing through a puddle?). But at just about 92 degrees for the P-38 your take off distance will be 20% higher than the chart shows. North Africa can be worse.
Note that they are only figuring a 10% increase in time to climb compared to the 20% increase in take-off run.
My guess on why the charts start at 0c for simplicity. Notice there are no corrections for below 0c (Assumption none needed. I fly the A319/320 and some of our charts bottom out at -5c). Makes for simpler math for your airmen.
Cheers,
Biff