Abstract:

Based on the Frenet coordinate system, it is complicated to derive the differentric geometric guidance law, which has heavier limitation in employing the project. The differential geometric guidance law is firstly derived and the relative velocity coordinate system is built to analyze the capture condition for convenience. The relative motion area between missile and target is partioned into subsets, then the sufficient condition for capture is obtained, also the course is derived and proved. Simulation results show that the missile can capture the target and has a higher guidance precision when the initional information satisfies the sufficient condition for capture in different subsets of the relative velocity space.