Calculation of an optimal two impulse Earth-Moon trajectory
McGreevy, John Joseph
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In this paper, variational methods are applied to the the two-impulse Earth-Moon trajectory problem. Advantages of the circular-restricted three-body problem are utilized to solve the optimal control problem for this orbital transfer. The free terminal time problem is solved by performing calculations using a fixed terminal time approach, and determining the optimal terminal time from the results of the fixed-time calculations. The effect of changing initial orbit conditions is also studied.