Knochen
Member
Does anyone know of a calculator or chart for bullet drop according to barrel length, caliber, and distance from target?
On the moon, the muzzle velocity would tell us how long it takes for the bullet to reach the target, and that would be sufficient to let us calculate how far the bullet drops due to the acceleration of gravity. If air resistance causes the bullet to slow down, then we would need another way to calculate the time it takes for the bullet to reach the target.
Just out of curiosity, how would one calculate the time needed to reach the target when air resistance is taken into account?
Sounds like the days of 'zeroing in' are long gone. Just pull out the trusty calculator, punch a few buttons, and get a direct hit first time.Good question, and the answer also applies to any accelerated system operating in a gravity field, such as a rocket lifting off from Cape Canaveral, which becomes lighter as it burns off its fuel.
The answer is calculus. In the case of the bullets, we have one acceleration, gravity, which is a constant, and another acceleration, air drag, which is a function of the bullets and the square of the speed. Thus the drag on the bullet constantly changes as the bullet slows down. Twice as much speed produces 4 times the drag force.
The ballistics programs do what is called iterative calculations taking small time intervals, using the drag to calculate a new speed and then calculating a new drag, which is used to calculate a new speed, and so on until the range we desire is reached. You can add in a crosswind and calculate the sidways drift at the same time in the better programs. Notice in the program I referenced, the temp and altitude are also asked, as the density of the air affects projectile motion.
The Army uses similar programs for their artillery to take a GPS location and direct fire from several batteries to achieve multiple hits on the target from different tubes arriving at the same time. With the small portable computers now in use, the artillery calculations can be made in real time instead of taking large books of ballistics tables into the field. Nearby Ft Sill is the filed artillery school for the Army, and they teach these techniques. The firepower demonstrations are very impressive, especially when multiple batteries achieve simultaneous hits on the same target.
Sounds like the days of 'zeroing in' are long gone. Just pull out the trusty calculator, punch a few buttons, and get a direct hit first time.
As a retired old geezer, I would be happy to get confused with a 'young one' any day.Some of the young ones think that way! But just miss a decimal point or forget to square a factor and you end up missing Mars with your satellite.![]()
Another question I have. All of this requires a distance parameter. It seems like distance can be obtained with the help of a 'spotter' who can be some established distance away from you and who can signal the angle he sees between you and the target. With the angle you see between him and the target, you have angle-side-angle, and can use the trigonometry of oblique triangles (the Law of Sines) to accurately calculate the distance from you to the target.Good question, and the answer also applies to any accelerated system operating in a gravity field, such as a rocket lifting off from Cape Canaveral, which becomes lighter as it burns off its fuel.
The answer is calculus. In the case of the bullets, we have one acceleration, gravity, which is a constant, and another acceleration, air drag, which is a function of the bullets and the square of the speed. Thus the drag on the bullet constantly changes as the bullet slows down. Twice as much speed produces 4 times the drag force.
The ballistics programs do what is called iterative calculations taking small time intervals, using the drag to calculate a new speed and then calculating a new drag, which is used to calculate a new speed, and so on until the range we desire is reached. You can add in a crosswind and calculate the sidways drift at the same time in the better programs. Notice in the program I referenced, the temp and altitude are also asked, as the density of the air affects projectile motion.
The Army uses similar programs for their artillery to take a GPS location and direct fire from several batteries to achieve multiple hits on the target from different tubes arriving at the same time. With the small portable computers now in use, the artillery calculations can be made in real time instead of taking large books of ballistics tables into the field. Nearby Ft Sill is the filed artillery school for the Army, and they teach these techniques. The firepower demonstrations are very impressive, especially when multiple batteries achieve simultaneous hits on the same target.