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 the 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. A new proportional navigation (PN) guidance law, called incorporated 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 from 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 the 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.