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Parameters of the Earth's tri-axial level ellipsoid

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Summary

Four parameters defining the Earth's tri-axial ellipsoid (E) have been derived on the basis of the condition that the gravity potential on E be constant and equal to the actual geopotential value (W0) on the geoid. The geocentric gravitational constant, the angular velocity of the Earth's rotation, the actual 2nd degree geopotential Stokes parameters and W0 are taken to be the primary geodetic constants defining E and its (normal) gravity field.

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References

  1. P. Pizzetti: Sulla espressione della gravita alla superficie del geoide, supposto elli soidico. Atti R. Accad. Lincei, Ser. V, v.3 (1894), 166.

  2. M. B. Zadro, A. Marussi: On the static effect of Moon and Sun on the shape of the Earth. In: ATTI Proceedings V Simposio sulla Geodesia Matematics, Firenze, 25–26 Ottobre 1972, Firenze 1973, 249–267.

  3. M. Burša, Z. Šíma, J. Kostelecký: Determination of the geopotential scale factor from satellite altimetry. Studia geoph. et goed.,36 (1992), 101–108.

    Article  Google Scholar 

  4. J. C. Ries, R. J. Eanes, C. Huang, B. E. Schutz, C. K. Shum, B. D. Tapley, M. M. Watkings, D. N. Yuan: Determination of the Gravitational Coefficient of the Earth from Near-Earth Satellites. Geophys. Res. Letters,16 (1989), 271–274.

    Article  Google Scholar 

  5. J. G. Marsch, F. J. Lerch, B. H. Putney, T. L. Felsentreger, B. V. Sanchez, S. M. Klosko, G. B. Patel, J. W. Robbins, R. G. Williamson, T. L. Engelis, W. F. Eddy, N. L. Chandler, D. S. Chinn, S. Kapoor, K. E. Rachlin, L. E. Braatz, E. C. Pavlis: The GEM-T2 Gravitational Model. J. Geophys. Res.,95 (1990), 22043–22071.

    Article  Google Scholar 

  6. Report of IAG SSG 5-100. Parameters of Common Relevance of Astronomy, Geodesy, and Geodynamics. Bull. Géod.,66 (1992), 193–197.

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Authors and Affiliations

  1. Astronomical Institute, Acad. Sci. Czech Republic, Prague

    Milan Burša

  2. Czech Technical University, Prague

    Vladimíra Fialová

Authors
  1. Milan Burša
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  2. Vladimíra Fialová
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Burša, M., Fialová, V. Parameters of the Earth's tri-axial level ellipsoid. Stud Geophys Geod 37, 1–13 (1993). https://doi.org/10.1007/BF01613918

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  • DOI: https://doi.org/10.1007/BF01613918

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