Zero effort miss formulation for near space aircraft interception

To accurately predict the zero effort miss for intercepting the near space aircraft(NSA)with high velocity, three-dimensional simplified dynamic model was presented according to the characteristics of NSA, which was transformed into linear differential equation with constant coefficients. The analytic expressions of motion of interception missile relative to aircraft was deduced. The high-precision method of calculating zero effort miss was obtained. To verify the precision of the method, the dynamic model as close to the actual conditions as possible was built, and the comparison was carried out by numerical integration. The simulation results show that the analytical formula is feasible. The zero effort miss calculation was applied in a simple mid-course guidance law to verify the interception effect in engineering application.