Method-of-moments analyses of resonant circular arrays of cylindrical dipoles present unique and particular difficulties. A previous publication overcame the major difficulties by using a set of improved kernels in the usual Hallen-type integral equations and by applying an appropriate convergence acceleration method. Based on previous works dealing with the isolated cylindrical dipole, proposed is a better method of calculating the constant C (m) appearing in the aforementioned equations; this results both in improved accuracy and in faster overall convergence of the authors' moment method.