Error propagation properties for ICBM

This paper describes the error propagation properties of IGS (Inertial Guidance System) for ICBM. The transition matrix analytic solution of IGS is derived. By means of the Regression Analysis technique, the perturbance model is set up. Based upon this, the analytic solutions of impact position error is obtained. Using the analytic solution, the error analysis of IGS can be complete without integrating differential equations. For calculating impact position error, it is only necessary to determine the perturbance parameters and error propagation parameters by means of the algebraic method. Finally, the numerical results calculated for 42 trajectories show that the maximum error due to the analytic solution is less than 10 meters.