Ballistic Coefficient Calculator

Calculate projectile sectional density and ballistic coefficient from bullet weight, diameter, and drag-model form factor.

Projectile measurements
Use bullet dimensions in grains and inches with a form factor matched to the intended drag model.

About ballistic coefficient and sectional density

Ballistic coefficient is a compact way to compare how efficiently projectiles overcome aerodynamic drag relative to a standard reference projectile. A higher coefficient generally indicates that a bullet retains velocity and energy better and experiences less wind drift over the same flight conditions. It does not describe muzzle velocity, precision, terminal behavior, or suitability by itself. The value only has meaning when it is paired with the drag model and velocity range used to define the form factor. The calculation begins with sectional density, which is projectile weight in pounds divided by diameter in inches squared. Because bullet weights are commonly listed in grains, this calculator divides grains by 7,000 to convert them to pounds before applying the formula. Sectional density expresses how much mass is concentrated behind a given frontal area. Long, heavy-for-caliber bullets usually have greater sectional density than short, light bullets of the same diameter. Ballistic coefficient equals sectional density divided by form factor. The form factor compares the bullet's drag with the standard projectile for a selected model. A value below one means the projectile shape produces less drag than that reference at the modeled conditions, while a value above one means more drag. G1 and G7 references have different standard shapes, so a G1 coefficient and a G7 coefficient for the same bullet are not interchangeable. Always use the form factor, coefficient, and trajectory solver for the same drag model. Published coefficients are often measured over a velocity band rather than derived solely from geometry. Drag changes through supersonic, transonic, and subsonic flight, and modern manufacturers may publish multiple banded values or a custom drag curve. This calculator is therefore best for understanding the relationship among mass, caliber, form factor, sectional density, and coefficient, or for checking a value when an appropriate form factor is known. For actual trajectory predictions, prefer Doppler-verified manufacturer data and confirm velocity with a chronograph. Atmospheric density, sight height, twist rate, muzzle velocity, and wind must be handled by a complete ballistic solver, and safe load development must always follow reliable published data.

Ballistic coefficient examples

Each example applies sectional density divided by the chosen drag-model form factor.

Projectile inputsCalculated valuesInterpretation
140 grains, 0.264 in, form factor 1.000SD 0.287; BC 0.287A form factor of one makes ballistic coefficient equal sectional density.
168 grains, 0.308 in, form factor 0.900SD 0.253; BC 0.281The lower form factor raises the coefficient relative to sectional density.
55 grains, 0.224 in, form factor 1.100SD 0.157; BC 0.142The light projectile and form factor above one produce a lower coefficient.

How to use the ballistic coefficient calculator

  1. Enter the complete bullet weight in grains.
  2. Enter the actual bullet diameter in inches rather than the cartridge name.
  3. Provide a positive form factor derived for the drag model you intend to use.
  4. Select Calculate Ballistic Coefficient and record both sectional density and coefficient.
  5. Keep the drag model consistent when transferring the coefficient to trajectory software.

Ballistic coefficient calculator FAQ

Is a higher ballistic coefficient always better?

A higher coefficient usually means better velocity retention and less wind drift under comparable conditions. It does not automatically make a projectile more accurate, safer, or appropriate for a particular target.

What is the difference between G1 and G7 coefficients?

G1 and G7 use differently shaped standard reference projectiles. Their numeric coefficients cannot be substituted for one another without changing the drag model in the trajectory solver.

Where do I get a form factor?

A reliable form factor comes from measured drag data tied to a stated reference model and velocity range. Manufacturer data or Doppler-based ballistic resources are preferable to guessing from appearance.

Why does ballistic coefficient change with velocity?

A real projectile's drag does not track the reference curve perfectly at every Mach number. The effective form factor therefore changes, especially around the transonic region.

Does sectional density predict penetration?

Sectional density is one relevant geometric measure, but it does not include impact velocity, construction, expansion, yaw, or target properties. Those factors can dominate terminal performance.