The purpose is to review iterative and series methods applied to the solution of Kepler's equation, which is solved over the entire range of elliptic motion.The method whose results will work as a reference is the Newton-Raphson's numerical method.The results will be discussed around the number of iterations required until the convergence criterion is satisfied, that is, residual error in eccentric anomaly lower than rad (for iterative methods) or rad (for seriesbased methods) and the processing time.The advantages and drawbacks of each method will be presented.