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SIX VARIABLE BALLISTIC MODEL FOR A ROCKET
ARMY SIGNAL RADIO PROPAGATION AGENCY WHITE SANDS MISSILE RANGE N MEX
The equations of motion which describe the position in space, the pitch, yaw, and roll of an unguided rocket are developed. Some effects considered are those of gravity, thrust, spin rockets, canted fins, aerodynamic forces and moments, loss of mass, rotation of the earth, wind, variable speed of sound, and variable atmospheric pressure. The vector forces and moments are defined and resolved into suitable components from which the equations of motion are derived. The problem of numerical integration of these equations is discussed. How perturbation techniques can be used to increase the computation speed is shown. Applications of the resulting mathematical models including prediction of the impact point for real-time support of an actual firing are explained. Author