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## The gyroscopic stability condition## Abbreviations
## More abbreviations## ExplanationA spin-stabilized projectile is said to begyroscopically stable,
if, in the presence of a yaw angle d, it responds
to an external wind force F_{1} with the general motion
of nutation and precession. In this case the longitudinal axis of the bullet
moves into a direction perpendicular to the direction of the wind force.
It can be shown by a mathematical treatment that this condition is fulfilled,
if the gyroscopic stability factor gyroscopic stability condition. A bullet
can be made gyroscopically stable by sufficiently spinning it (by increasing
w!).
As the spin rate s, at least close to the muzzle, continuously
increases. An practical example is shown in a figure.
_{g}Thus, if a bullet is gyroscopically stable at the muzzle, it will be gyroscopically stable for the rest of its flight. The quantity s
also depends on the air density r and this is
the reason, why special attention has to be paid to guarantee gyroscopic
stability at extreme cold weather conditions.
_{g}Bullet and gun designers usually prefer The gyroscopic (also called static) stability factor depends on only
one aerodynamic coefficient (the overturning moment coefficient derivative
However, the gyroscopic stability condition only is a |

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