A ballistic missile shutdown point estimation method based on double fitting corrections

Abstract

For long-range infrared systems, a new method is proposed in this paper to estimate the shutdown point of ballistic missile. In order to reduce the effect of model error and positioning error of observation point on estimation accuracy, two successive fitting corrections are used in a three-dimensional observation space and a two-dimensional characteristic space respectively. Firstly, the three-dimensional observation data points are fitted by a trajectory plane model, and these points are projected to the trajectory plane for the first correction. Then, a characteristic space l- is set up to describe these projective points in a two-dimensional polar coordinates and the projective points are fitted and corrected by polynomial curves along two axes respectively. Finally, the motion characters of these projective points are converted to the first three-dimensional observation space and the motion state of shutdown point are estimated. The simulation results show that our method is feasible and valid.