This paper proposes an Augmented Pursuit Guidance (APG)-based guidance law that faithfully tracks optimal trajectories by reproducing the optimal lead angle history with respect to the target. Although optimal guidance laws offer theoretical performance advantages, their real-time applicability is often limited due to computational complexity. To address this gap, the proposed APG method provides a practical and implementable alternative that closely approximates the optimal solution using precomputed or polynomial-approximated data. Simulation study shows that APG is a simple and efficient method for trajectory tracking during the mid-course guidance phase of a long-range air-to-air missile equipped with a dual-pulse rocket.