A analytical method of trajectory prediction considering J2 perturbations and including short-period terms

In order to take into account the accuracy and effectiveness of ballistic missile trajectory prediction, an analytical method considering perturbations and including short periodic terms is proposed. At the same time, an error propagation analysis method combined with unscented transformation is constructed to solve the problem that Kepler root number is not differentiable and the partial derivative matrix is difficult to be calculated in the analysis method. Simulation results show that the relative error of the proposed algorithm is less than 5%, its accuracy is comparable to that of the high precision numerical method, much higher than that of the traditional analytic method, and the computation speed is 7 times of that of the latter. The proposed algorithm has higher cost-efficiency ratio.