Abstract
This paper considers the plane circular restricted three-body problem for small μ. Symmetric periodic solutions of the second species (passing near the body of mass μ) and their distance from the center of the body of mass μ are studied by constructing perturbations of arc-solutions (solutions with consecutive collisions) existing for μ=0. Orbits which also pass near the body of mass 1-μ are studied in detail. The results are applied to finding periodic orbits in the Earth-Moon system and in the Sun-Jupiter system.
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