Optimization of driving of a space vehicle with ion engine in a system Earth - Moon

The optimization of control lawes and trajectories of driving of a space vehicle with the low-thrust engine fulfilling transport problems in a system the Earth - Moon is featured. With use of a formalism of the Pontryagin maximum principle the necessary requirements of an optimality of control are obtained from the point of view of minimum duration. The driving is considered within the framework of a flat circular restricted problem of three body. The solutions for problems optimum on response of reaching of inconvertible points of a libration of a system and flyby of Moon on required angular distance are obtained. The approach to a choice of initial parameters of boundary value problems is offered.