Aerodynamic Drag and Gyroscopic Stability

TL;DR

This study investigates how lowering gyroscopic stability from 1.3 to 1.0 affects the aerodynamic drag of rifle bullets, confirming that reduced stability increases drag and can lead to tumbling.

Contribution

It provides experimental validation of the relationship between gyroscopic stability and drag, and compares stability formulas with observed data for different bullet types.

Findings

Ballistic coefficient decreases as stability drops below 1.3.

Experimental data confirms stability formulas' predictions.

Drag increases significantly near the tumbling threshold.

Abstract

This paper describes the effects on aerodynamic drag of rifle bullets as the gyroscopic stability is lowered from 1.3 to 1.0. It is well known that a bullet can tumble for stability less than 1.0. The Sierra Loading Manuals (4th and 5th Editions) have previously reported that ballistic coefficient decreases significantly as gyroscopic stability, Sg, is lowered below 1.3. These observations are further confirmed by experiments reported here. Measured ballistic coefficients were compared with gyroscopic stabilities computed using the Miller Twist Rule for nearly solid metal bullets with uniform density and computed using the Courtney-Miller formula for plastic-tipped bullets. The relationship between Sg and drag may be used to test the applicability of existing gyroscopic stability formulas for given bullet designs and to evaluate the accuracy of alternate formulas in cases where the existing stability formulas are not as accurate. The most definitive test of formulas predicting stability will always be observation of whether bullets tumble under given conditions. However, observations of drag changes provide valuable supplemental information because they suggest changes in stability as conditions change. Use of a continuous variable (drag) rather than a binary variable (tumbling) allows insight into stability over a range of conditions where the binary variable does not change.