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The Earth Gravity Field: Basics

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Part of the book series: Springer Geophysics ((SPRINGERGEOPHYS))

Abstract

In this chapter we try to outline the main concepts used to estimate and describe the gravity field. The aim is to show the interplay between the geometry of the field, represented in terms of equipotential surfaces and plumb lines, and the mathematical relations that connect observable gravity values to the gravity potential. This is especially done in a linearized form, after a normal potential is defined, based on the ellipsoidal geometry, and used as reference function in the subsequent linearization.

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References

  • Abramowitz M., Stegun I.A. (1964). Handbook of mathematical functions with formulas, graphs, and mathematical tables. Dover Publications, New York.

    Google Scholar 

  • Bur\(\breve{{\rm s}}\)a M., Kenyon S., Kouba J., \(\breve{{\rm S}}\)íma Z., Vatrt V., Vítek V., Vojtí\(\breve{{\rm s}}\)ková M. (2007). The geopotential value \(W_0\) for specifying the relativistic atomic time scale and a global vertical reference system. Journal of Geodesy, 81(2):103–110.

    Google Scholar 

  • Grafarend E.W., Ardalan A.A. (1999). World Geodetic Datum 2000. Journal of Geodesy, 73(11):611–623.

    Article  Google Scholar 

  • Heiskanen W.A. and Moritz H. (1967). Physical geodesy. Freeman, San Francisco.

    Article  Google Scholar 

  • Hotine M. (1969). Mathematical geodesy. ESSA Monograph 2, U.S. Department of Commerce, Washington, DC.

    Google Scholar 

  • Martinec Z. (1998). Boundary value problems for gravimetric determination of a precise geoid. LNES-Springer, Berlin.

    Google Scholar 

  • Marussi A. (1985). Intrinsic geodesy. Springer, Berlin.

    Chapter  Google Scholar 

  • Moritz H. (1980). Geodetic Reference System 1980. Bulletin Gèodèsique, 62(3), 348–358.

    Article  Google Scholar 

  • Pizzetti P. (1894). Sulla espressione della gravità alla superficie del geoide, supposto ellissoidico. Atti della Reale Accademia dei Lincei, Rendiconti 3:166–172 (in Italian).

    Google Scholar 

  • Sansò F., Sideris M.G. (2013). Geoid determination: Theory and methods. Lecture Notes in Earth System Sciences, Vol. 110. Springer-Verlag, Berlin, Heidelberg.

    Google Scholar 

  • Somigliana C. (1929). Teoria generale del campo gravitazionale dellellissoide di rotazione. Memorie della Società Astronomia Italiana 4:541–599 (in Italian).

    Google Scholar 

  • Somigliana C. (1930). Sul campo gravitazionale esterno del geoide ellissoidico. Atti della Reale Accademia dei Lincei, Rendiconti, 6:237–243 (in Italian).

    Google Scholar 

  • Vanìcek P. and Krakiwsky E.J. (1986). Geodesy: The concepts, 2nd edn. Elsevier, Amsterdam.

    Chapter  Google Scholar 

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Correspondence to Fernando Sansò .

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Sansò, F., Reguzzoni, M., Barzaghi, R. (2019). The Earth Gravity Field: Basics. In: Geodetic Heights. Springer Geophysics. Springer, Cham. https://doi.org/10.1007/978-3-030-10454-2_3

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