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Satellite motion control in the vicinity of the libration point with expenditure criteria is considered. Expenditure optimization is natural in the case, where it is necessary to keep mechanical system in the neighborhood of the equilibrium point for a long time. Disturbing factors from time to time distort this system unacceptably far from the equilibrium point, and we need to extinguish these deviations, using fuel or another resource, which reserves are limited. Optimization of the satellite motion control acco...

The possibilities and prospects of a solar sail using to solve new problems of space systems control are discussed. The economic and environmental benefits that can be obtained with this control method for interplanetary transitions or for the functioning of the space system in the near-planetary space are considered. This type of control is carried out through the use of special solar sail designs that allow the maximum use of light pressure. The very idea of the solar sail control is connected with the search fo...

Mathematical models of the dynamics of spacecraft with a solar sail to control translational orbital motion and rotation of the whole structure are provided the stability of the sail orientation relative to the flow of sunlight. The behavior of solutions in a neighborhood of the possible equilibrium or stationary state of motion is taken into account. Change in the stability depending on the tasks and the transformation of equations that describe the perturbed processes is taken into account. It is possible to var...