To study the Sun–Saturn system, the particular version of an elliptical restricted three-body problem, where its own first integral of motion can be evaluated, is applied. Thus, the Poincare surface of sections (PSS) is extended from a circular restricted three-body problem to an elliptical restricted three-body problem for exploring the periodic orbits of this system. The numerical technique of PSS is employed to create -family orbits in the Sun–Saturn system. In particular, we have characterized numerically how the parameters of eccentricity of the primaries' trajectory, solar radiation pressure and the Jacobian constant affect locations and physical properties of the islands and -family orbits with their own stability and periods. Also, functional relations between the orbital parameters and the eccentricity are obtained using a regression analysis. [ABSTRACT FROM AUTHOR]