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The mean curvature of the external equipotential surface and the vertical gravity gradient as functions of stokes's constants

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Summary

The mean curvature of the equipotential surface and the vertical gradient of gravity are expressed in terms of a development into a series of spherical harmonics [1, 2, 4], neglecting terms of the order of 10−8. The curvature anomalies have been computed using the satellite data [3]. The symbols used are the same as in [5].

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References

  1. М. С. Молоденский: Метод совместной обработки гравиметрических и геодезических материалов для изучения гравитационного поля Земли и ее фигуры. Труды ЦНИИГАиК 86, М. 1951; Сборник статей ГУГК ХХХ, М. 1950.

  2. В. Ф. Еремеев, М. И. Юркина: Определение фигуры и размеров Земли по астрономогеодез ическим и гравиметрическим материалам. Труды ЦНИИГАиК 103, М. 1954.

  3. E. M. Gaposchkin, K. Lambeck: 1969 Smithsonian Standard Earth (II). SAO Sp. Rep. 315, 1970.

  4. W. Köhnlein: The Geometric Structure of the Earth's Gravitational Field. SAO Spec. Rep. 200, Vol. 3, 1966.

    Google Scholar 

  5. M. Burša: Gaussian Curvature of Smoothed Equipotential Surfaces From Satellite Orbit Dynamics. Studia geoph. et geod., 17 (1973), 1.

    Article  Google Scholar 

  6. M. Burša: К определению кривизны поверхности, представляющей фигуру Земли, по астрономо-геод езическим и гравиметрическим данным. Studia geoph. et geod., 5 (1961), 95.

    Article  Google Scholar 

  7. M. Burša: On the Figure of the Earth's Equipotential Surface from Satellite Orbit Dynamics. Studia geoph. et geod., 13 (1969), 1.

    Article  Google Scholar 

  8. M. Burša: Potential on the Geoidal Surface, the Scale Factor for Lengths and Earth's Figure Parameters from Satellite Observations. Studia geoph. et geod., 13 (1969), 337.

    Article  Google Scholar 

  9. M. Burša: Sur certaines relations entre les paramètres de l'ellipsoïde terrestre et du champ de gravité, en particulier par rapport au Système de Référence A.I.G. 1967. Bull. géod., No 97 (1970), 261.

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Dedicated to 90th Birthday of Professor František Fiala

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Burša, M. The mean curvature of the external equipotential surface and the vertical gravity gradient as functions of stokes's constants. Stud Geophys Geod 17, 74–80 (1973). https://doi.org/10.1007/BF01613676

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  • DOI: https://doi.org/10.1007/BF01613676

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