Ballistic coefficient

In ballistics, the ballistic coefficient (BC) of a bullet is a measure of its ability to overcome air resistance in flight. A high BC means it will slow down less. It will have more of its speed left when it reaches the target. BC depends on mass, diameter, and drag coefficient. Ballistic coefficient has units of lb/in² or kg/m². BCs for bullets are normally stated in lb/in² by their manufacturers without mentioning a unit. The values for BC can be as low as 0.12 and as high as 1.00 for commonly used bullets.

Bullet performance
A bullet with a high BC will travel farther than one with a low BC since  it will keep its speed better, resist the wind better, and “shoot flatter”.

When hunting with a rifle, a higher BC is good for several reasons.  A higher BC results in a flatter flight. The effect of mistakes in estimating the distance to the target is smaller for  bullet with a higher BC.  This is important when attempting an effective hit on an animal.  If the target animal is closer than estimated, then the bullet will hit higher than expected.  On the other hand, if the animal is further than estimated the bullet will hit lower than expected.  Such a difference in bullet drop can make the difference between a clean kill and a wounded animal.

This difference in flight path is more important at longer distances. Sometimes, the difference in two bullet designs fired from the same rifle can result in a difference between the two of over 30 cm (1 foot) at 500 meters (550 yards). A bullet with a high BC arrives at the target faster and with more energy than one with a low BC. Since the higher BC bullet gets to the target faster, it is also less affected by crosswinds.

General trends
Sporting bullets have BC’s in the range 0.12 to slightly over 1.00, with high being the most aerodynamic, and low being the least. Very-low-drag bullets with BCs ≥ 1.10 can be designed and produced on special lathes using mono-metal rods. These special bullets often have to be fired from custom made full bore rifles with special barrels.

Bullet makers often offer several weights and types for a given size.  Heavy-for-caliber pointed (spitzer) bullets with a boat tail design have high BCs. Lighter bullets with square tails and blunt noses have lower BCs. thumb|The bullet on the left is flat tipped and has a lower BC than the bullet on the right, which is more aerodynamic.

In the United States, hunting cartridges such as the .25-06 Remington (a 6.35 mm caliber), the .270 Winchester (a 6.8 mm caliber), and the .284 Winchester (a 7 mm caliber) are used when high BCs are desired. In the larger sizes, the .338 Lapua Magnum and the .50 BMG are popular with very high BC bullets for shooting beyond 1000 meters.  Other choices in the larger size are the .375 and .408 Cheyenne Tactical and the .416 Barrett.

Changes in bullet ballistic coefficients
Differences in BC claims for the same projectiles can be explained by differences in the air density used for these BC statements or differing range-speed measurements on which the stated G1 BC averages are based. The BC changes during a projectile's flight and stated BCs are always averages for certain distances and speeds. Some more explanation about the transient nature of a projectile's G1 BC  during flight can be found at the external ballistics article. 

To find the correct BC (some scientists would call it drag coefficients), Doppler radar-measurements are required. The normal shooting or aerodynamics person, however, does not have this expensive equipment. Weibel 1000e Doppler radars are used by professional ballisticians, defense forces, and a few ammunition manufacturers to get exact real world data on the flight behavior of projectiles of interest.

Test results came from many shots, not just a single shot. Any single bullet can have a  very different BC than another. It is important to know the average behavior of a bullet. 

Mathematical models and bullet ballistic coefficients
Most ballistic mathematical models and tables or software assume that one specific drag function correctly describes the drag and hence the flight characteristics of a bullet related to its ballistics coefficient. Those models do not have any differences for wadcutter, flat-based, spitzer, boat-tail, very-low-drag, etc. bullet types or shapes. However, some different drag curve models have been made for several standard projectile shapes.

Related pages
External ballistics - The behavior of a projectile in flight.
Trajectory of a projectile Ballistic coefficient can be used to calculated the path of a projectile. The above page lacks any practical application of BC. BC is an easy way to account for air resistance.

Freeware small arms ballistic coefficient calculators
These free computer programs can be used to calculate ballistic coefficient if other information is known.
JBM Ballistic Coefficient (Velocity)
JBM Ballistic Coefficient (Time) 

References

Chuck Hawks Article on Ballistic Coefficient
Ballistic Coefficient Tables
Exterior Ballistics.com 
#header How do bullets fly? The ballistic coefficient (bc) by Ruprecht Nennstiel, Wiesbaden, Germany

Category:Ballistics