Resumen: We present an astrometric method for the calculation of the positions of orbiters in the GEO ring with a high precision, through a rigorous astrometric treatment of observations with a 1-m class telescope, which are part of the CIDA survey of the GEO ring. We compute the distortion pattern to correct for the systematic errors introduced by the optics and electronics of the telescope, resulting in absolute mean errors of 0.16" and 0.12" in right ascension and declination, respectively. These correspond to ˜ 25 m at the mean distance of the GEO ring, and are thus good quality results. Idioma: Inglés Año: 2018 Publicado en: REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA 54, 1 (2018), 209-216 ISSN: 0185-1101 Originalmente disponible en: Texto completo de la revista