Agent:
Let b = muzzle vel of bullet.
Let A = speed of plane.
Assume tail chase with both b17 and p51 travelling same speed.
let v1 = airspeed of b17 bullet
let v2 airspeed of p51 bullet
V1 = b - a
v2 = b + a
now the key to this is that drag is related to the square of vel.
Sinc V2 > V1 V2 will decelerate at a faster rate.
So after 1 sec of travel the delta of V2 will be greater then the delta of v1
Hence the builet from the b17 will travel a greater distance and retain a higher vel relative to the airplanes then the bullet from the p51.
HiTech
It seems like we are looking at this problem from opposite sides of the equal sign...LOL
According to Newton:
"Every body persists in its state of rest or of uniform motion in a straight line unless it is compelled to change that state by forces impressed on it."
I agree that drag is a factor. The issue is how much drag effects the bullet due to the speed of the airplane and how much this drag effects kinetic energy at the point of impact relative to the distance the bullet travels.
I submit that the degree of kinetic energy changed by drag is "insignificant" in terms of the damage model in this game...and in real life for that matter.
The fact that AH2 models this is awesome. It goes to show that this game is a notch above anything out there....hehe actually there's not really anything competing with AH2 but that's another issue.
In the formula you post I agree.
My case on the issue is that given actual closing speeds the factor of drag can almost be ignored.
Consider this:
I tried to write this in the form of a brain teaser.
There are two planes flying at the same altitude. Plane 1 is moving at 200 mph ( a little over cruising speed of B17). Plane 2 is following Plane 1 and is moving at 400 mph (reasonable attack speed in a p51)
Plane one is firing a gun from its tail exactly 180 deg from its heading of 0 deg. Plane two is flying a heading of 0 degrees and is on the same axis and heading as Plane 1. Both Planes are flying level.
Plane 1 and Plane 2 are firing a 50 cal bullet with a 709 grain weight and a power load which results in a bullet velocity of 2870 fps at the muzzle.
Both planes begin firing at each other at the exact same time with the exact same fire rate at a distance of 400 yards at the speeds stated above.
Assume any gravity value and any air density value as long as both are used for both Plane 1 and Plane 2
What will be the ft-lbs (kinetic energy) of the first bullet fired from Plane 1 when it hits Plane 2?
What will be the ft-lbs (kinetic energy) of the first bullet fired from Plane 2 when it his Plane 1?
Free beer to the first one to solve.
Bonus question:
Which bullet has more drag. Plane 1 or Plane 2?
We could re write this and say that both planes are moving at the same airspeed. In that case I do agree with you...in the fact that drag is effecting the bullet.
But, show me how drag effects kinetic energy and by how much? That is the question I've been seeking all along.