The Elusive Stationary Geoid

  • Martin Vermeer
Part of the Space Sciences Series of ISSI book series (SSSI, volume 17)


We discuss the various problems occurring when trying to fix a geoid or geopotential model using sea level observations sampled during a limited time span from a bounded geographical domain. Such problems arc on the one hand aliasing and spectral leakage, and on the other, the non-conservation of matter over only part of the world ocean.

In the light of these issues we discuss whether it is sensible to include in a definition of the global geoid the radially symmetric part of either the mean sea level field itself, or its linear or nonlinear time dependence, arriving at a negative conclusion.


Stationary geoid mean sea level aliasing spectral leakage. 


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  1. Lemoine, F., S. Kenyon, J. Factor, R. Trimmer. N. Pavlis, D. Chirm, C. Cox, S. Klosko, S. Luthke, M. Torrcnce. Y. Wang. R, Williamson. E. Pavlis. R, Rapp, and T. Olson: 1998, The Development of the Joint NASA GSFC and the National imagery and Mapping Agency (NIMA) Geopotential Model EGM96. Greenhelt, Maryland 20771: National Aeronautics and Space Administration, Goddard Space Flight Center.Google Scholar
  2. Mikhail, E. M, and F. Ackermann: 1976, Observations and Least Squares. Harper and Row.Google Scholar
  3. Vaiu’eek. P. and E. Krakiwsky: 1986, Geodesy - The Concepts. Amsterdam: Elsevier Science Publishers.Google Scholar
  4. Vermeer, M.. J. Kakkuri, P. Miilkki. K. Kahma. M, Lepparanta, and H. Boman: 1988. ‘Land uplift and sea level variability spectrum using fully measured monthly means of tide gauge readings’. In: Finn isli Marine Re sea rch. Helsinki: Finnish institute of Marine Research, pp. 3–75.Google Scholar
  5. Vermeer, M. and M. Poutanen: 1996. ‘A Modified GRS-80 Normal Field Including Permanent Tide and Atmosphere“. In: J. Scgawa. H. Fujimoto. and S. Oku bo (eds.): Proceedings, I AG International Symposium on Gravity, Geoid and Marine Geodesy (GraGeoMar96), Tokyo. Sep. 30–Oct. 5, 1996. Tokyo, pp. 515–522.Google Scholar
  6. Vermeer, M.: 1992. ‘FGI Studies on Satellite Gravity Gradiometry. 3. Regional high resolution geopotential recovery in geographical coordinates using a Taylor expansion FFT technique“. Report 92:1. Finnish Geodetic Institute, Helsinki.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Martin Vermeer
    • 1
    • 2
  1. 1.Institute of Geodesy, Department of SurveyingHelsinki University of TechnologyFinland
  2. 2.Institute of Geodesy, Department of SurveyingHelsinki University of Technology HUTFinland

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