A note on the stability condition for a spinning shell

Abstract

It is proved that in the absence of any cross-Magnus-effects, the motion of a spinning artillery shell is stable if, s>=(v+h)/Sup2 (1+gamma/sub2) /4vh. where S is the usual stability factor, gamma, h and gamma/sub2 are factors of certain aerodynamic forces acting on the projectile. The above condition is obtained by applying Fowler's method of approximation to Nielsen and Synge stability conditions. If the cross force due to cross spin be neglected (i.e.gamma/sub2=0), this goes over to the usual Nielsen and Synge condition of stability.