The standard spheroidal
reference surface also referred as the reference ellipsoid is a part of mapping
basic infrastructures of a country. In Cameroon, the ellipsoid Clarke 1880 with
unknown parameters used for a long time as reference system in basic mapping,
has lead to the use of World Geodetic System 1984 (WGS 84) whose parameters are
well known. Meanwhile, the latter is not accurate locally due to the fact that
the best ellipsoid is the one that fits very well with the local geoid. In
order to look for the parameters of the local ellipsoid that fits best to the
local geoid (Cameroon Geoid Model 2011 (CGM11)), the Global Positionning System
(GPS) data made of 525 geodetic ground control points of the new geodetic
network of Cameroon set up in 2011 were used. These GPS measures provide for
each point the values of the ellipsoid height and the elevation which are used
to determine the parameters of the local ellipsoid model for Cameroon through
the least square form of the Molodensky analytical method. The results are given
as the difference in ellipsoidal height relative to the parameters of the WGS84
ellipsoid assuming the two ellipsoids in their parallel. These results show
that the obtained ellipsoid fits better to the local geoid with 1.072 m as the
standard deviation value, is improved considerably in comparison to the
previous studies conducted in Cameroon whose standard deviation was fairly
equal to 1.679 m.
References
[1]
Foyang, L. (2012) Mise en place d’une Infrastructure cartographique de Base au Cameroun et son influence sur la cartographie et les mesures du parcellaire. Mémoire de Master professionnel, Université de Yaoundé I, Cameroun, 109 p.
[2]
Yakubu, I. and Kumi-Boateng, B. (2015) Ramification of Datum and Ellipsoidal Parameters on Post Processed Differential Global Positioning System (DGPS) Data—A Case Study. Ghana Mining Journal, 15, 1-9.
[3]
Kamguia, J., Tabod, C.T., Nouayou, R., Tadjou, J.M., Manguelle-Dicoum, E. and Kande, H.L. (2007) The Local Geoid Model of Cameroon, CGM05. Nordic Journal of Surveying and Real Estate Research, 4, 7-23.
[4]
Dekin, R.E. (2004) The Standard and Abridged Molodensky Coordinate Transformation Formulae. Department of Mathematical and Geospatial Sciences, RMIT University, Australia.
[5]
Molnár, G. and Timár, G. (2005) Determination of the Parameters of the Abridging Molodensky Formulae Providing the Best Horizontal Fit. Geophysical Research, 7, 01018.
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Newsome, G.G. and Harvey, B.R. (2003) GPS Coordinate Transformation Parameters for Jamaica. Survey Review, 37, 218-234. http://dx.doi.org/10.1179/sre.2003.37.289.218
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Jean, H. (2009) Méthodes numériques et informatiques 2: Ajustements au sens des “moindres carrées”. Université Pierre et Marie CURIE, France.
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Molodensky, M.S. and Eremeev, V.F. (1960) A New Method of Solving Geodetic Problems. Trudy TsNIIGAiK.
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Carme, J.L. (2012) Le nouveau réseau géodésique national du Cameroun. Revue XYZ, N°131, 2e trimestre 2012, 37-46.
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