STUDY OF SPATIAL PERIODIC ORBIT FAMILIES IN THE THREE-BODY PROBLEM.

The family of three-dimensional periodic orbits found previously in the neighborhood of a body of smaller mass is studied in the Hill approximation. It is shown that, on the one hand, this family intersects a family of one-dimensional periodic orbits orthogonal to the fundamental plane and, on the other hand, it intersects the family of plane periodic orbits encompassing the L//1 and L//2 libration points.