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The recent discovery of rings and massive satellites around minor bodies anddwarf planets suggests that they may often coexist, as for example aroundHaumea. A ring perturbed by an oblate central body and by an inclined satellitemay disperse on a short timescale. The conditions under which a ring maysurvive are explored both analytically and numerically. The trajectories ofring particles are integrated under the influence of the gravitational field ofa triaxial ellipsoid and (a) massive satellite(s), including the effects ofcollisions. A ring initially formed in the equatorial plane of the central bodywill be disrupted if the satellite has an inclination in the Kozai Lidov regime(39.2 < i < 144.8). For lower inclinations, the ring may relax to the satelliteorbital plane thanks to an intense collisional damping. On the other hand, asignificant J2 term easily suppresses the perturbations of an inclinedsatellite within a critical semimajor axis, even in the case of Kozai Lidovcycles. However, if the ring is initially inclined with respect to theequatorial plane, the same J2 perturbations are not a protective factor butinstead disrupt the ring on a short timescale. The ring found around Haumea isstable despite the rise in the impact velocities that is due to the asymmetricshape of the the body and the presence of a 3:1 resonance with the rotation ofthe central body. A ring close to an oblate central body should be searched forin the proximity of the equatorial plane, where the J2 perturbations protect itagainst the perturbations of an external inclined satellites. In an inclinedconfiguration, the J2 term is itself disruptive.

Ring dynamics around an oblate body with an inclined satellite: The case of Haumea