Some generalization of the well-known celestial mechanics problem is considered. All the suitable limiting cases of this generalization, called the Generalized Hill's Problem, are computed. Sinodical Kepler problem is used for obtaining families of generating solutions, which are continuable into the families of doubly symmetric periodic solutions of the Hill's problem.

periodic solutions, Hamiltonian system, symmetric solution, Hill's problem

Mathematical modelling in actual problems of science and technics