In this work, the potential for a non-stationary stellar system is determinated, under the hypothesis of separability, for a stelar model that verifies the Chandrasekhar postulates, with
axial symmetry (non-cylindrical), and with an equatorial plane of symmetry.
The obtained results generalize those of the cylindrical case. As in the cylindrical case, it appears a term which can be interpreted as a contribution due to the galactic halo. It also appears
- as in the cylindrical case - a term proportional to although its cofficient of proporcionality is now a function of the θ angle and show a singular behavior. Finally, a term due to the non inertiality of the galactic plane, regarded as the plane of symmetry of the stellar system, is obtained.