periodic orbits of the hill problem with radiation and oblateness

the modification of hill’s problem where the primary is radiating and the secondary is an oblate spheroid is considered. the evolution of the network of the basic families of planar periodic orbits for various values of the parameters of the problem is studied. for specific values of the parameters these families are determined accurately together with their stability properties. the stability of retrograde satellites in an appropriate space of initial conditions is also determined by means of surface of section portraits of the poíncare map and higher order resonances are studied. simple asymmetric periodic orbits of the problem arealso determined.