Comparação de diferentes métodos de conversão de coordenadas cartesianas geocêntricas para geodésicas utilizando o Python

Abstract

In the most varied applications of geodesy, from the establishment of reference networks to small engineering works, professionals routinely face the need to work with different coordinate systems. This fact implies that the designer must use methods of converting coordinates between systems that guarantee the precision specified in each project. At the same time, with the advancement of technology, it is noticed that the ease with which a program is developed, using a high-level programming language, is increasing every day. It is in this context that this work finds itself, as it performs the analysis and comparison of two traditional methods used in geodesy, one direct and one iterative, for converting three-dimensional cartesian geocentric coordinates to geodetic coordinates, from programs developed in the cloud, in the Google Colab environment, in the Python language, to analyze their discrepancies and have an analysis of how automation of receivers works through the methods. To perform this task, the official data provided by IBGE of 217 stations of the Brazilian Geodesic System, referring to the State of Rio Grande do Sul were used. The conversions were made through a program developed exclusively for each method, whose results were submitted to comparison with the official coordinates, and also between them. The results showed that the differences both between each method in relation to the official data, and also between the methods, are irrelevant for engineering applications, being able to be used both the direct method and the iterative method analyzed, making only the choice of the engineer in relation which of the two methods is most comfortable from the point of view of programming for him.