Galaxy Mass Distributions from Rotation Speeds by Closed-Loop Convergence

Given the dimensions (including thickness) and rotation speeds for an axisymmetric galaxy, a closed-loop iterative method is designed to find the total mass, density, and surface-mass density (SMD)distributions. There is no need for dark-matter halos. Density accuracy of course depends on the accuracy of the thickness data, but SMD and total mass are as good as the inputs of rotation speeds vs radius if reasonable estimates are made for thickness. The effects of an exponential "atmosphere" are included.