Technological advances occurred in Geodesy have easier to obtain geodeticcoordinates in different reference systems. The conversion of thesecoordinates from one system to another is a routine task, especiallyin engineering. However, the model commonly used to convert the Cartesiancoordinates into geodetic uses an iterative procedure to determinelatitude, which includes an error to coordinate. In this context, amodel is proposed to determine the latitude directly from the Cartesiancoordinates. The results show the advantages and disadvantages of the proposed model, when compared to the results of iterative models.
