Equations of motion of a spin-stabilized projectile for flight stability testing
Leszek Baranowski
Abstract
Leszek Baranowski
Abstract
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.
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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.
Key concepts: Projectile, Euler angles, Aerodynamics, Kinematics, Motion (physics), Spin (aerodynamics), Equations of motion, Aerodynamic force