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On the spherical harmonics series expansion of the geopotential

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Bulletin Géodésique (1946-1975)

Summary

The spherical harmonics development of the gravitational potential at the earth's surface and on the geoid is discussed. First, the effect of Kelvin transformations is studied; secondly, numerical information as obtained from satellite and other data is investigated.

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References

  • H.M. DUFOUR (1969): Représentation du potentiel terrestre par des développements harmoniques excentrés, Symp. Math. Geodesy, Trieste.

  • K. JUNG (1956): Figur der Erde, Hándb. d. Physik, S. Flügge editor, XLVII, 534–639, Springer Verlag, Berlin-Göttingen-Heidelberg.

    Google Scholar 

  • O.D. KELLOGG (1953): Foundations of potential theory, Dover reprint, New-York.

  • W.D. MAC MILLAN (1958): The theory of the potential, Dover reprint, New-York.

  • W.A. MAGNITZKI, W.W. BROWAR and B.P. SCHIMBIREW (1964): Theorie der Figur der Erde, Verlag für Bauwesen, Berlin.

    Google Scholar 

  • F. MORRISON (1969): Validity of the expansion for the potential near the surface of the earth, IV. Symp. Math. Geodesy, Trieste.

  • R. SIGL und E. GROTEN (1969): Dynamische Satellitengeodäsie, Deutsche Geodätische Kommission A 49/11, Munich.

  • K. STRUBECKER (1956): Einführung in die höhere Mathematik, Bd. I. Oldenbourg Verlag, Munich.

    Google Scholar 

  • C.A. WAGNER (1967): The use of resonant librating orbits in satellite geodesy, Colloque Intern. “Les méthodes dynamiques de géodésie par satellites”, 161–187, Paris.

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Institut für astronomische und physikalische Geodäsie, Publ. No. 66, Techn. Hochschule, Munich.

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Groten, E. On the spherical harmonics series expansion of the geopotential. Bull. Geodesique 96, 169–181 (1970). https://doi.org/10.1007/BF02521706

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  • DOI: https://doi.org/10.1007/BF02521706

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