Ballistic Error Propagation Theory And Its Application In Free Flight Phase

The research on propagation characteristics of systematic error caused by gravity anomaly plays an essential role in impact analyses of the ballistic missile precision. Therefore, center on classical ballistic missiles, this paper puts forward the motion model of free flight phase, establishes the error propagation theory of free flight phase based on the ballistic perturbation method, and analyzes the impact of accuracy on semi-analytical motion model of perturbation state caused by J₂ and gravity anomaly.The part of theoretic research is organized as follows: establishes the motion model of free flight on the basis of standard orbital coordinate system, and deduces equiangular/equiradius/equitime perturbation model based on the assumption of small side deviation and linear system theory, which lays the model foundation. Creatively raises the Least Square Estimation method of the compensation on higher order terms, acquires the entire semi-analytical method of ballistic perturbation propagation, and therefore originally establishes ballistic perturbation propagation theory in free flight phase, which lays the theory foundation.The part of practical research is organized as follows: on the basis of the entire semi-analytical method of ballistic perturbation propagation, originally obtains the entire analytical solutions of equiradius perturbation state caused by J₂, and originally demonstrates the impact on the accuracy of different semi-analytical perturbation models caused by gravity anomaly, is little enough to be neglected.Through the research, this paper establishes the precise motion model of free flight phase on the basis of standard orbital coordinate system, put forward free flight error propagation theory based on the ballistic perturbation method, acquires the semi-analytical method of ballistic perturbation propagation in free fight phase, deduces the entire analytical solutions of equiradius perturbation state caused by J₂, and demonstrates the impact on the accuracy of different semi-analytical perturbation models resulting from gravity anomaly could be neglected.