In this paper we consider objects with a nonspherical gravity field and small gravitational pull, for example, asteroids, planet's satellites, and comets. The publication discusses controlling of motion in the vicinity object with the irregular gravity field. The mathematical model allows for the attraction the Earth, the Sun, the small body (asteroid, planet's satellite, and comet). We consider the software complex to the modeling and visualization of the trajectories and control programs that are used to support the spacecraft near the asteroid. The paper regarding the possibility of using an ancillary power plant consists of ion modules for the spacecraft asteroid's explorations. Authors propose analysing ballistic simulations controlled spacecraft's motion in vicinity of asteroid with irregular gravitational field and to evaluate the performance of using ion engines installed on a spacecraft.