Abstract
Planar retrograde periodic orbits in the elliptical restricted three body problems (ER3BP) beyond the limit of validity of Hill’s approximation are analyzed in detail starting from Hénon’s f family and including symmetric and
asymmetric solutions up to a multiplicity of degree seven. The different families, which are obtained with a predictor-corrector continuation method exploiting cylindrical pulsating curvilinear coordinates, are computed for a number of representative three-body systems. A geometric classification of the different orbit types is proposed and the influence of the primaries’ mass ratio on the existence of resonant solutions is investigated