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, When simulating the motion of a spinning projectile, it turns out to be computationally advantageous to select non-rolling frame measure numbers of the
, When simulating the motion of a spinning projectile, it turns out to be computationally advantageous to select non-rolling frame measure numbers of the projectile mass center velocity and angular velocity for use in the equations of motion. Assume standard Euler angles using the aerospace rotation sequence (3-2-1) are used to define orientation. Reference frame N is the frame just before roll rotation (final rotation by roll angle ). Let angular velocity be given by B/I = pN + N +N. Solve for the rotational kinematic differential equations relating angular velocity measure numbers p, q, and the derivatives of Euler angles , 4. Make sure to isolate the Euler angle derivatives on the left-hand-side of the equation. [Hint: Consult our lesson notes on the rotational kinematic equations]. (13 points)
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