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.
Similar content being viewed by others
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.
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.
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.
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.
Author information
Authors and Affiliations
Additional information
Institut für astronomische und physikalische Geodäsie, Publ. No. 66, Techn. Hochschule, Munich.
Rights and permissions
About this article
Cite this article
Groten, E. On the spherical harmonics series expansion of the geopotential. Bull. Geodesique 96, 169–181 (1970). https://doi.org/10.1007/BF02521706
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02521706