TITLE:
$J_2$ effect and elliptic inclined periodic orbits in the collision restricted
three--body problem
2008 SIAM Journal on Applied Dynamical Systems, 7 (1), pp 1--17


AUTHORS:
Esther Barrabes, Josep M. Cors, Conxita Pinyol i Jaume Soler
E-mails: barrabes@ima.udg.edu, cors@epsem.upc.edu, conxita.pinyol@uab.cat, jaume.soler.villanueva@upc.edu


ABSTRACT:
The existence of a new class of inclined periodic orbits of the
collision restricted three--body problem is shown. The symmetric
periodic solutions found are perturbations of elliptic kepler
orbits and they exist only for special values of the inclination
and are related to the motion of a satellite around an oblate
planet.