40 1-800-338-3220 40 1-800-338-3220 FOUR DEGREES OF FREEDOM HORNADY BALLISTICS APP WITH 4DOF ® WHY 4DOF ®? Modern sniping and long-range shooting demands have surpassed the capabilities of traditional Ballistic Coefficient (BC)-based calculations. While custom drag modeling has addressed some of the limitations of BC, it still falls short in accurately modeling the full dynamics of a bullet in flight. As a bullet travels toward its target, its nose is rarely perfectly aligned with its trajectory throughout the entire flight. Instead, the bullet exhibits “wobbling” motions, known as precession and nutation, around its flight path. This misalignment is quantified as the “angle of attack,” which represents the angular difference between the bullet’s orientation and its trajectory. Any angle of attack introduces additional forces—beyond drag—that act on the bullet and influence its path. To accurately predict a bullet’s trajectory, these forces must be accounted for in the modeling process. The 4DOF (Four Degrees of Freedom) bullet library goes far beyond the limitations of BC and even custom drag profiles. Each bullet is characterized by over 400 unique properties, including mass, inertial characteristics, drag coefficient (Cd) versus Mach number, and other aerodynamic factors. This advanced modeling provides a far more precise representation of a bullet’s flight dynamics compared to using a single BC value or a custom drag profile that ignores additional forces acting on the bullet. Discover the cutting-edge advantage of the Hornady Ballistic Calculator with 4DOF®, tailored to meet the precision demands of law enforcement professionals. With an entire playlist of informative videos, you can explore how 4DOF® offers unmatched accuracy and reliability in the field. Scan the QR code or visit HORNADY.COM/QR/4DOF-OVERVIEW to dive into the details and experience the difference 4DOF® can make.
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