Apollo 11 Reloaded: Optimization-based Trajectory Reconstruction

Abstract

This paper wants to be a tribute to the Apollo 11 mission, that celebrated its 50 th anniversary in 2019. By using modern methods based on numerical optimization we reconstruct critical phases of the original mission, and more specifically the ascent of the Saturn V, the translunar injection maneuver that allowed the crew to leave the Earth's sphere of influence, and the Moon landing sequence, starting from the powered descent initiation. Results were computed by employing pseudospectral methods, and show good agreement with the original post-flight reports released by NASA after the successful completion of the mission.