New Result on Interception of Stationary Targets at Arbitrary Time-Varying Speed

In this paper, some new results on time-varying missile against a stationary target using pure proportional navigation (PPN) are developed in the planar interception problem. First, relative motion equation is established arc-length domain based differential geometry theory, which eliminates influence of speed. Then, closed-form solution speed intercepting with PPN deduced, and performance analyzed. Additionally, considering maneuvering acceleration limit, capture region Finally, derived paper verified by numerical simulation analysis for various scenarios.