For a spinning projectile, the initial stability condition is 2 = 1+ (4 K3 / K22) > 0. In the presentstudy, this condition has been modified for the malalignments arising due to pressure gradientand damping moment for an FSAPDS projectile. The equations of motion are established for thefirst phase of motion. A mathematical model for the first phase of motion has been developed.The effect of perturbation on the trajectory and stability of motion are discussed. It is provedthat if 3 K(a parameter appearing due to perturbation)(-K22 2 /4 ), the initial stability ofmotion will breakdown