Case Study Open Access June 24, 2022

Grid, Geodetic and Astronomical Azimuth Conversions in Ghana

1
Geomatic Engineering Department, Kwame Nkrumah University of Science and Technology Kumasi, Ghana
2
University of Mines and Technology, Tarkwa, Ghana
Page(s): 24-37
Received
May 03, 2022
Revised
June 14, 2022
Accepted
June 22, 2022
Published
June 24, 2022
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright: Copyright © The Author(s), 2022. Published by Scientific Publications
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APA Style
Ayer, J. , Ayer, J. Asante, C. Y. , Asante, C. Y. Ziggah, Y. Y. , & Ziggah, Y. Y. (2022). Grid, Geodetic and Astronomical Azimuth Conversions in Ghana. Current Research in Public Health, 2(1), 24-37. https://doi.org/10.31586/wjgg.2022.288
ACS Style
Ayer, J. ; Ayer, J. Asante, C. Y. ; Asante, C. Y. Ziggah, Y. Y. ; Ziggah, Y. Y. Grid, Geodetic and Astronomical Azimuth Conversions in Ghana. Current Research in Public Health 2022 2(1), 24-37. https://doi.org/10.31586/wjgg.2022.288
Chicago/Turabian Style
Ayer, John, John Ayer. Cosmas Yaw Asante, Cosmas Yaw Asante. Yaw Y. Ziggah, and Yaw Y. Ziggah. 2022. "Grid, Geodetic and Astronomical Azimuth Conversions in Ghana". Current Research in Public Health 2, no. 1: 24-37. https://doi.org/10.31586/wjgg.2022.288
AMA Style
Ayer J, Ayer JAsante CY, Asante CYZiggah YY, Ziggah YY. Grid, Geodetic and Astronomical Azimuth Conversions in Ghana. Current Research in Public Health. 2022; 2(1):24-37. https://doi.org/10.31586/wjgg.2022.288
@Article{crph288,
AUTHOR = {Ayer, John and Asante, Cosmas Yaw and Ziggah, Yaw Y. and Doku, Ebenezer Tetteh},
TITLE = {Grid, Geodetic and Astronomical Azimuth Conversions in Ghana},
JOURNAL = {Current Research in Public Health},
VOLUME = {2},
YEAR = {2022},
NUMBER = {1},
PAGES = {24-37},
URL = {https://www.scipublications.com/journal/index.php/WJGG/article/view/288},
ISSN = {2831-5162},
DOI = {10.31586/wjgg.2022.288},
ABSTRACT = {Astronomic azimuths had been used for orienting old surveys in Ghana. With technological advancement and the development of simpler but accurate equipment and techniques for measurement, this has been replaced by the use of the Global Navigational Satellite System (GNSS) techniques such as the Global Positioning System(GPS). However, the use of these for azimuth determinations results in a different type of azimuth as opposed to astronomic azimuths previously used. For retracing some of those old surveys based on Astronomical coordinates, the relationship and convertibility between the different azimuths is imperative. In this exploration, the relationship and precision of both techniques were tested on various baselines located in different parts of the country. This involved the computation of Astronomic, Geodetic and Grid Azimuths between pairs of points to form several baselines. These baselines span from the Southern to the Middle belt portions of the Country where triangulations have been done, as some of these triangulation stations were Laplace stations that have both astronomic and geodetic coordinates determined for them.  The results were investigated in terms of effect of using the convergence and t-T correction to convert between the set of azimuths. The results show that Geodetic Azimuths could be converted to grid coordinates and vice versa to accuracies of mean 0° 0ʹ 0.56ʺ and standard deviation ± 5.6 seconds. However, for Astronomic to Grid Azimuths, without correcting for Deflection of vertical, the conversion is accurate only to mean differences of 0° 1ʹ 25.3ʺ with standard deviation ± 0° 8ʹ 21.5ʺ. The results show the necessity of the Laplace correction for vertical deflection in astronomic azimuths in addition to the convergence and t-T correction and recommends the provision of country-wide deflection corrections.},
}
%0 Journal Article
%A Ayer, John
%A Asante, Cosmas Yaw
%A Ziggah, Yaw Y.
%A Doku, Ebenezer Tetteh
%D 2022
%J Current Research in Public Health

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%V 2
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%T Grid, Geodetic and Astronomical Azimuth Conversions in Ghana
%M doi:10.31586/wjgg.2022.288
%U https://www.scipublications.com/journal/index.php/WJGG/article/view/288
TY  - JOUR
AU  - Ayer, John
AU  - Asante, Cosmas Yaw
AU  - Ziggah, Yaw Y.
AU  - Doku, Ebenezer Tetteh
TI  - Grid, Geodetic and Astronomical Azimuth Conversions in Ghana
T2  - Current Research in Public Health
PY  - 2022
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UR  - https://www.scipublications.com/journal/index.php/WJGG/article/view/288
AB  - Astronomic azimuths had been used for orienting old surveys in Ghana. With technological advancement and the development of simpler but accurate equipment and techniques for measurement, this has been replaced by the use of the Global Navigational Satellite System (GNSS) techniques such as the Global Positioning System(GPS). However, the use of these for azimuth determinations results in a different type of azimuth as opposed to astronomic azimuths previously used. For retracing some of those old surveys based on Astronomical coordinates, the relationship and convertibility between the different azimuths is imperative. In this exploration, the relationship and precision of both techniques were tested on various baselines located in different parts of the country. This involved the computation of Astronomic, Geodetic and Grid Azimuths between pairs of points to form several baselines. These baselines span from the Southern to the Middle belt portions of the Country where triangulations have been done, as some of these triangulation stations were Laplace stations that have both astronomic and geodetic coordinates determined for them.  The results were investigated in terms of effect of using the convergence and t-T correction to convert between the set of azimuths. The results show that Geodetic Azimuths could be converted to grid coordinates and vice versa to accuracies of mean 0° 0ʹ 0.56ʺ and standard deviation ± 5.6 seconds. However, for Astronomic to Grid Azimuths, without correcting for Deflection of vertical, the conversion is accurate only to mean differences of 0° 1ʹ 25.3ʺ with standard deviation ± 0° 8ʹ 21.5ʺ. The results show the necessity of the Laplace correction for vertical deflection in astronomic azimuths in addition to the convergence and t-T correction and recommends the provision of country-wide deflection corrections.
DO  - Grid, Geodetic and Astronomical Azimuth Conversions in Ghana
TI  - 10.31586/wjgg.2022.288
ER  -