Optimal aeroassisted return from high earth orbit with plane change

Abstract

An analytical treatment of the problem of aeroassisted return from a high earth orbit to LEO is presented. The approach taken is that of the minimum fuel aeroassisted return from the higher to the lower orbit with occasional maneuvers within the atmosphere while performing a plane change. The plane changes are calculated for different angular alterations, and a model is developed for optimized atmospheric turning. It is found that larger plane changers demand deeper penetration into the denser regions of the atmosphere, where greater velocity depletion will also occur. Attention is given to lift effects and their optimized solution, and an atmospheric exit condition is characterized which will require one post atmospheric impulse to achieve a LEO of 380 km. Finally, it is shown that application of an impulse will always result in a plane change.