A new procedure has been developed which minimizes total impulsive AFfor multiple-flyby trajectories with constraints on flyby parameters and maneuver times. The method involves solving a bounds-constrained parameter optimization problem with a Newton algorithm utilizing analytic first and second derivatives. Each trajectory segment connecting consecutive maneuver points is found by first targeting from the preceding maneuver point to the parameters of the upcoming flyby and then propagating the resulting trajectory to the next maneuver point. Multiconic techniques are used for trajectory propagation and computation of the state transition matrix. This procedure has successfully optimized Galileo satellite tours containing up to eleven flybys.
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