Periodic orbits of collision in the restricted problem of three bodies, when the bigger primary is a slowly rotating oblate spheroid (Q1222531)

In the restricted problem of three bodies, the larger primary is taken to be a rotating oblate rotating spheroid and the plane of the motion of the primaries is taken to coincide with the equatorial plane of the primary. Perturbation equations are derived in the Hamiltonian form, regularized in the neighbourhood of the bigger finite mass. The rotation terms are of the same order as the oblateness contributions. Using standard criteria, the existence of periodic symmetric as well as doubly symmetric orbits is established. The orbits are also orbits of collision.