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Fundamental equations of Molodenskii's theory for the gravitational reference field

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Summary

The paper is devoted to the solution of Molodenskii's integral equations; the normal gravitational model has been newly defined and this has made it possible to decrease the magnitude of the absolute terms and quite eliminate the complicated terms of the 2nd order. The normal potential introduced is not constant on the surface of the ellipsoid, however, this did not complicate the solution of the integral equations in any way. The result may be exploited in determining the densities of the equivalent single layer, the co-ordinates of the origin of the reference system, and the potential, combining terrestrial and satellite data.

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References

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Authors and Affiliations

  1. Central Research Institute of Geodesy, Photogrammetry and Cartography, Moscow

    V. F. Yeremeev & M. I. Yurkina

  2. Verkhnaya Pervomaiskaya 4b, E-264, Moscow, USSR

    V. F. Yeremeev & M. I. Yurkina

Authors
  1. V. F. Yeremeev
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  2. M. I. Yurkina
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Yeremeev, V.F., Yurkina, M.I. Fundamental equations of Molodenskii's theory for the gravitational reference field. Stud Geophys Geod 18, 8–18 (1974). https://doi.org/10.1007/BF01613705

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  • DOI: https://doi.org/10.1007/BF01613705

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