The ballistic coefficient measures how well a projectile resists air drag: the ratio of its mass to the product of its drag coefficient and cross-sectional area.
C = m / (Cₓ·A), A = π·d²/4
m·dv/dt = m·g − ½·ρ·Cₓ·A·|v|·v
- Higher C (heavy, slim, streamlined) → drag decelerates it less → flatter trajectory, longer range.
- Lower C (light, wide, blunt) → drag dominates quickly → the shot drops short, like the grey reference shell.
- Both shells share the same muzzle velocity (200 m/s) and launch angle, so any difference in their paths comes purely from C.
Real-world relevance: fire-control computers and long-range shooters use the ballistic coefficient to predict how far a specific bullet or shell will carry before it drops out of the target zone.