Calculation of geocentric radius by degrees of latitude

The objective of this exercise is to face the loss of cognition and therefore the ability to perform geometric transformations from spherical models to ellipsoidal models within the teaching of geography at the undergraduate level. It is postulated that global navigation satellite systems based on r...

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Autores principales: Tovar Cabañas, Rodrigo, Villanueva Hernández, Hipólito, Vazquez Espinosa, Shany Arely
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2023
Materias:
latitud geocéntrica
radio geocéntrico
elipsoide WGS84
geocentric latitude
geocentric radius
WGS84 ellipsoid
Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/37305
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Revista de Educación Matemática de Universidad Nacional de Córdoba
id I10-R366-article-37305
record_format ojs
spelling I10-R366-article-373052023-08-08T16:16:08Z Calculation of geocentric radius by degrees of latitude Cálculo de radios geocéntricos por grados de latitud Tovar Cabañas, Rodrigo Villanueva Hernández, Hipólito Vazquez Espinosa, Shany Arely latitud geocéntrica radio geocéntrico elipsoide WGS84 geocentric latitude geocentric radius WGS84 ellipsoid The objective of this exercise is to face the loss of cognition and therefore the ability to perform geometric transformations from spherical models to ellipsoidal models within the teaching of geography at the undergraduate level. It is postulated that global navigation satellite systems based on reference ellipsoids are still conceived as spherical systems by many students due to the absence of practical examples that help their pedagogical understanding. To cover this gap in this work, the eccentricity, geocentric latitude and geocentric radius of the 90 main parallels of the reference ellipsoid WGS84 were calculated. Methodologically, we worked on a study universe greater than 324 thousand seconds of latitude. Of which only the top 90 cases are shown. Using an analog criterion, the geocentric radius was determined for the ports of Salina Cruz, Oaxaca, Tampico, Tamaulipas and Ensenada, Baja California. As results it is exhibited that the distance to the center of the Earth between Salina Cruz and Ensenada there is a difference of 4 kilometers. El objetivo del presente ejercicio es hacer frente a la pérdida de cognición y por ende pericia para realizar transformaciones geométricas de modelos esféricos a modelos elipsoidales dentro de la enseñanza de la geografía a nivel licenciatura. Se postula que los sistemas satelitales de navegación global basados en elipsoides de referencia aún son concebidos como sistemas esféricos por muchos alumnos debido a la ausencia de ejemplos prácticos que ayuden a su comprensión pedagógica. Para cubrir dicha laguna en este trabajo se calcularon la excentricidad, la latitud geocéntrica y el radio geocéntrico de los 90 principales paralelos del elipsoide de referencia WGS84. Metodológicamente se trabajó sobre un universo de estudio superior a los 324 mil segundos de latitud. De los cuales sólo se muestran los 90 casos principales. Con un criterio analógico se determinó el radio geocéntrico para los puertos de Salina Cruz, Oaxaca, Tampico, Tamaulipas y Ensenada, Baja California. Como resultados se exhibe que la distancia al centro de la Tierra entre Salina Cruz, y Ensenada hay una diferencia de 4 kilómetros. Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2023-08-03 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf https://revistas.unc.edu.ar/index.php/REM/article/view/37305 10.33044/revem.37305 Revista de Educación Matemática; Vol. 38 Núm. 2 (2023); 3-15 1852-2890 0326-8780 spa https://revistas.unc.edu.ar/index.php/REM/article/view/37305/42289 Derechos de autor 2023 Dr. Rodrigo Tovar Cabañas, Dr. Hipólito Villanueva Hernández, Dra. Shany Arely Vázquez Espinosa https://creativecommons.org/licenses/by-sa/4.0/
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-366
container_title_str Revista de Educación Matemática
language Español
format Artículo revista
topic latitud geocéntrica
radio geocéntrico
elipsoide WGS84
geocentric latitude
geocentric radius
WGS84 ellipsoid
spellingShingle latitud geocéntrica
radio geocéntrico
elipsoide WGS84
geocentric latitude
geocentric radius
WGS84 ellipsoid
Tovar Cabañas, Rodrigo
Villanueva Hernández, Hipólito
Vazquez Espinosa, Shany Arely
Calculation of geocentric radius by degrees of latitude
topic_facet latitud geocéntrica
radio geocéntrico
elipsoide WGS84
geocentric latitude
geocentric radius
WGS84 ellipsoid
author Tovar Cabañas, Rodrigo
Villanueva Hernández, Hipólito
Vazquez Espinosa, Shany Arely
author_facet Tovar Cabañas, Rodrigo
Villanueva Hernández, Hipólito
Vazquez Espinosa, Shany Arely
author_sort Tovar Cabañas, Rodrigo
title Calculation of geocentric radius by degrees of latitude
title_short Calculation of geocentric radius by degrees of latitude
title_full Calculation of geocentric radius by degrees of latitude
title_fullStr Calculation of geocentric radius by degrees of latitude
title_full_unstemmed Calculation of geocentric radius by degrees of latitude
title_sort calculation of geocentric radius by degrees of latitude
description The objective of this exercise is to face the loss of cognition and therefore the ability to perform geometric transformations from spherical models to ellipsoidal models within the teaching of geography at the undergraduate level. It is postulated that global navigation satellite systems based on reference ellipsoids are still conceived as spherical systems by many students due to the absence of practical examples that help their pedagogical understanding. To cover this gap in this work, the eccentricity, geocentric latitude and geocentric radius of the 90 main parallels of the reference ellipsoid WGS84 were calculated. Methodologically, we worked on a study universe greater than 324 thousand seconds of latitude. Of which only the top 90 cases are shown. Using an analog criterion, the geocentric radius was determined for the ports of Salina Cruz, Oaxaca, Tampico, Tamaulipas and Ensenada, Baja California. As results it is exhibited that the distance to the center of the Earth between Salina Cruz and Ensenada there is a difference of 4 kilometers.
publisher Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
publishDate 2023
url https://revistas.unc.edu.ar/index.php/REM/article/view/37305
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first_indexed 2024-09-03T22:36:53Z
last_indexed 2024-09-03T22:36:53Z
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