Abstract
An algorithm for constructing a model of the global geoid with zero-order approximation accuracy is considered. The algorithm is based on the one-dimensional spherical fast Fourier transform (FFT). It is 2.5 orders faster than those using the conventional discrete transform, and four orders, as compared with those using the numerical integration method. The algorithm was tested on the new Earth gravitational model EGM2008 published by the U.S. National Geospatial-Intelligence Agency (NGA).
Similar content being viewed by others
References
Eremeev, V.F. and Yurkina, M.I., Teorya vysot v gravitatsionnom pole Zemli (Theory of Heights in the Earth’s Gravitational Field), Moskva: Nedra, 1971.
Stokes, G.G., On the variation of gravity at the surface of the Earth, Transactions of the Cambridge Philosophical Society, 1849, vol. 8, pp. 672–695.
Hotine, M., Mathematical Geodesy, ESSA Monograph 2, U.S. Department of Commerce, Washington, D.C., 1969.
Mazurova, E.M., On geodesy boundary-value problem in plane approximation with the accuracy of zero approximation of Molodensky theory based on Fourier transform, Izv. Vuzov. Geodeziya i aerofotos”emka, 2005, no. 5, pp. 14–22.
Mazurova, E.M. and Bagrova, A.S., On calculation of height anomaly based on wavelet transform and fast Fourier transform in the plane approximation, Izv. Vuzov. Geodeziya i aerofotos”emka, 2008, no. 4, pp. 6–9.
Mazurova, E.M., Lapshin, A.Yu., and Men’shova, E.V., On the comparison of methods for calculating height anomaly, Izv. Vuzov. Geodeziya i aerofotos”emka, 2012, no. 4, pp. 40–44.
Pavlis N.K., Holmes, S.A., Kenyon, S.C. and Factor, J.K., The development and evaluation of the Earth Gravitational Model 2008 (EGM2008), J. Geophys, Res., 2012, vol. 117, doi 10.1029/2011/BOO8916
Haagmans, R., de Min, E., van Gelderen, M., Fast evaluation of convolution integrals on the sphere using 1D FFT, and a comparison with existing methods for Stokes’ integral, Manuscripta geodaetica, 1993, vol. 18, no. 5, pp. 227–241.
Strang van Hees, G., Stokes formula using fast Fourier techniques, Manuscripta geodaetica, 1990, vol. 15, no. 4, pp. 235–239.
Heiskanen. W.A., and Moritz. H., Physical Geodesy. W.H. Freeman and Company, San Francisco, USA, 1967.
Karpik, A.P., Kanushin, V.F., Ganagina, I.G., Goldobin, D.N., and Mazurova, E.M., Analyzing spectral characteristics of the global Earth gravity field models obtained from the CHAMP, GRACE and GOCE space missions, Gyroscopy and Navigation, 2015, vol. 6, no. 2, pp. 101–108.
Kanushin, V.F., Ganagina, I.G., Goldobin, D.N., Mazurova, E.M., Kosareva, A.M., and Kosarev, N.S., Comparison of models obtained from the GOCE space mission with different data sets of independent terrestrial gravity data, Vestnik CGGA, 2014, no. 3 (27), pp. 21–35.
Koneshov, V.N., Nepoklonov, V.B., and Solov’ev, V.N., Comparison of global Earth’s gravity field models with the aerogravimetric data obtained during a transcontinental flight, Gyroscopy and Navigation, 2014, vol. 5, no. 4, pp. 231–238.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.M. Mazurova, V.F. Kanushin, I.G. Ganagina, D.N. Goldobin, V.V. Bochkareva, N.S. Kosarev, A.M. Kosareva, 2016, published in Giroskopiya i Navigatsiya, 2016, No. 1, pp. 133–142.
Rights and permissions
About this article
Cite this article
Mazurova, E.M., Kanushin, V.F., Ganagina, I.G. et al. Development of the global geoid model based on the algorithm of one-dimensional spherical Fourier transform. Gyroscopy Navig. 7, 269–276 (2016). https://doi.org/10.1134/S2075108716030123
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S2075108716030123