Abstract: A method of linearizing the 6 degrees of freedom(DOF) rigid trajectory model is proposed for the rapid impact point prediction of terminal correction projectile in terminal trajectory. The linearized trajectory equations and the analytical solution are obtained, and The analytic formula for rapid impact point prediction is derived in combination with the remaining flight arc length estimation formula. With the reference of 6 DOF trajectory, the prediction accuracy and calculation time of this linear trajectory model prediction method are analyzed at different firing angles and prediction points through simulation. The results show that the impact point prediction error is less than 8 m in cross range direction, the solution speed is improved by an order of magnitude compared to 3DOF numerical integral impact point prediction method. The proposed method provides the basis for rapid ballistic calculation in real-time by onboard computer, and also provides a reference for the engineering application of terminal correction projectile.

Key words: ordnance science and technology, trajectory calculation, impact point prediction, terminal correction projectile, linearized trajectory