The multiple fibration problem for Seifert 3-orbifolds

We conclude the multiple fibration problem for closed orientable Seifert three-orbifolds, namely the determination of all the inequivalent fibrations that such an orbifold may admit. We treat here geometric orbifolds with geometries ${\mathbb{R}}^3$ and ${\mathbb{S}}^2\times \mathbb{R}$ and bad orbifolds (hence non-geometric), since the only other geometry for which the multiple fibration phenomenon occurs, namely ${\mathbb{S}}^3$, has been treated before by the second and third author. For the geometry ${\mathbb{R}}^3$ we recover, by direct and geometric arguments, the computer-assisted results obtained by Conway, Delgado-Friedrichs, Huson and Thurston.