Abstract
Three body dynamics problems in the system of Earth-Moon are crucial for Space navigation safety. The existence of the stable periodic solutions, capturing the Lagrange libration points of the Earth-Moon system, under gravitational perturbation of the Sun is under investigation taking into account the light pressure of the Sun. A family of periodical orbits, which rises from the periodic solutions, is obtained. The probability of formation of cosmic dust clouds in these zones is estimated.
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