A new proportional navigation (PN) guidance law, called combined proportional navigation (CPN), is proposed. The guidance law is designed to intercept high-speed targets, which is a common case for ballistic targets. The range of target-to-interceptor speed ratio during target interception is derived when guidance laws are applied in high-speed targets interception, and the effectiveness of negative navigation ratio in the PN-based guidance law is proven analytically in some lemmas .Based on

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... lemmas, the lateral acceleration command of CPN is defined, and the solution to the appearance of singularity in time-varying navigation ratio is given. The simulation results show that CPN can determine headon engagement (as PN) or tail-chase engagement (as RPN) through initial path angle compared with PN and retro proportional navigation (RPN), and can adjust the value of navigation ratio for head-on engagement or tail-chase engagement. Therefore, the capture region of CPN is larger than that of other guidance laws using PN-based methods.