Skip to main content
Log in

Development of the global geoid model based on the algorithm of one-dimensional spherical Fourier transform

  • Published:
Gyroscopy and Navigation Aims and scope Submit manuscript

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).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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.

    Google Scholar 

  2. 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.

    Google Scholar 

  3. Hotine, M., Mathematical Geodesy, ESSA Monograph 2, U.S. Department of Commerce, Washington, D.C., 1969.

    MATH  Google Scholar 

  4. 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.

    Google Scholar 

  5. 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.

    Google Scholar 

  6. 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.

    Google Scholar 

  7. 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

  8. 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.

    Google Scholar 

  9. Strang van Hees, G., Stokes formula using fast Fourier techniques, Manuscripta geodaetica, 1990, vol. 15, no. 4, pp. 235–239.

    Google Scholar 

  10. Heiskanen. W.A., and Moritz. H., Physical Geodesy. W.H. Freeman and Company, San Francisco, USA, 1967.

  11. 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.

    Article  Google Scholar 

  12. 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.

    Google Scholar 

  13. 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.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. G. Ganagina.

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

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2075108716030123

Navigation