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Dimension of the Earth’s mean ellipsoid specified by Brovar’s modified conditions

In memory of Professor V V Brovar

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Abstract

The Brovar’s condition of minimizing the Earth’s anomalous gravity field focused to the determination of the parameters of the Earth’s mean ellipsoid has been discussed and applied in two modified and simplified versions. The condition \(\int_{{S_0}} {{T^2}d{S_0}}\) = minimum has been applied over the world ocean area S 0 with the use of TOPEX/POSEIDON altimetry and mean sea surface topography height data. The semimajor axis of the Earth’s mean ellipsoid has been determined as a = (6 378 135.1 ± 1.5) m.

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Authors and Affiliations

  1. Astronomical Institute, Academy of Sciences of the Czech Republic, Prague, CR

    M. Burša & Z. Šíma

  2. Geodetic Survey Division, Natural Resources Canada, Ottawa, Canada

    J. Kouba

  3. Topographical Institute VTOPU, Geographic Service of the Czech Armed Forces, Dobruška, CR

    V. Vatrt

  4. Research Institute of Geodesy, Photogrammetry, and Cartography, Moscow, Russia

    M. I. Yurkina

Authors
  1. M. Burša
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  2. J. Kouba
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  3. Z. Šíma
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  4. V. Vatrt
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  5. M. I. Yurkina
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Correspondence to M. Burša.

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Burša, M., Kouba, J., Šíma, Z. et al. Dimension of the Earth’s mean ellipsoid specified by Brovar’s modified conditions. Acta Geod. Geoph. Hung 39, 15–25 (2004). https://doi.org/10.1556/AGeod.39.2004.1.2

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  • DOI: https://doi.org/10.1556/AGeod.39.2004.1.2

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