GRAVITATIONAL POTENTIAL OF GROUND STATE FOR THREE-DIMENSIONAL SPIRAL GALAXIES

On the basis of the density wave theory, we have found the solution of the perturbed gravitational potential for three-dimensional spiral galaxies. In this paper, we adopt the results of[4] and derive the integral form of the gravitational potential of ground state by means of the integral transformation. According to Toomre’s Galaxy rotation model"2" in [6], we find the rigorous solution for the gravitational potential of ground state at z=0 i. e. the disk symmetric plane. If we use Toomre’s rotation model"N", we may obtain the corresponding approximate solution. As an example, we have calculated the value of the gravitational potential at r=10 kpc for the Galaxy, which iS close to the observational data.