Projectile Aerodynamic Approximations Derived in Closed Form From Limited Data

These approximations provide simple, easy-to-calculate one-dimensional values for various aerodynamic functions for projectiles, such as range as a function of velocity, time as a function either of range or velocity, and drag as a function of velocity, assuming there are data on any one of them. In the absence of actual data or full three-dimensional computational methods, these approximations enable trajectory calculations not otherwise possible.