Capture region of 3D PPN guidance law for intercepting high speed target

The implementation of a classic three dimensional PPN guidance against a high speed-nonmaneuvering target is analyzed. All the analysis is performed in a line of sight fixed coordinate. By utilizing an auxiliary function inspired from the tangential relative velocity at interception, a necessary and sufficient condition for the airfoil shape capture region for intercepting the target is obtained. In addition, a sufficient condition for the capture region with the finite line of sight turn rate constraint is also presented.