We consider the plane circular restricted three-body problem for the mass parameter value μ = 5 · 10⁻⁵. We computed two families of periodic solutions: the family c originating at the collinear stationary point L₁, and an initial part of the family i which begins with the direct circular orbits of infinitely small radius around the body of bigger mass. The computed families are very close to the generating ones described by us in earlier studies. In particular, we confirmed the existence of the predicted zigzag structure of characteristics of the family i. We found new properties of the plane and the vertical traces.

Mathematical problems and theory of numerical methods