Journal of Theoretical
and Applied Mechanics

51, 1, pp. 235-246, Warsaw 2013

Equations of motion of a spin-stabilized projectile for flight stability testing

Leszek Baranowski
The paper presents a mathematical model of motion of a balanced spin-stabilized projectile considered as a rigid body with 6 degrees of freedom. The modeling uses coordinate systems conforming to Polish and International Standard ISO 1151. The design of kinematic equations describing motion around the center of mass uses the system of Tait-Bryan angles or Euler parameters. The total angle of attack and aerodynamic roll angle express aerodynamic forces and moments.
Keywords: spin-stabilized projectile; flight stability; exterior ballistics; equations of motion of projectile