Some transformation properties for the Coefficients in a spherical harmonics expansion of the earth’s external gravitational potential

Leendert Aardoom

doi:10.3402/tellusa.v21i4.10107

Some transformation properties for the Coefficients in a spherical harmonics expansion of the earth’s external gravitational potential

Tellus

Volume 21 (1969): Issue 4

By: Leendert Aardoom

Open Access

|Jan 1969

Courant , R. & Hilbert , D . 1953 . Methods of mathematical physics, Vol . I. Interscience Publishers , New York .
Search in Google Scholar Back to article
Erdélyi , A. , Magnus , W. , Oberhettinger , F. & Tricomi , F. G . 1953 . Higher transcendental functions, Vol . II. McGraw-Hill , New York .
Search in Google Scholar Back to article
Hobson , E. W . 1931 . The theory of spherical and ellipsoidal harmonics . Cambridge .
Search in Google Scholar Back to article
Hönl , H . 1934 . Vber em n Additionstheorem der Kugelfunktionen und seine Anwendung auf die Richtungsquantisierung der Atome . Zeitschrift für Physik 89 , 244 – 53 .
Search in Google Scholar Back to article
Jeffreys , B . 1965 . Transformation of tesseral harmonics under rotation . Geophysical Journal 10 , 141 – 45 .
Search in Google Scholar Back to article
Joos , G . 1967 . Theoretical physics , 3rd ed . Blackie & Son , London and Glasgow .
Search in Google Scholar Back to article
Kellogg , O. D. 1929. Foundations of potential theory. New York. (Dover reprint, 1953.) Lundquist , C. A. & Veis , G. (eds.) 1966. Geodetic parameters for a 1966 Smithsonian Institution Standard Earth. S.A.O. Spec. Report 200 .
Search in Google Scholar Back to article
Michael , W. H. , Jr . 1967. Physical properties of the moon as determined from Lunar Orbiter data. Paper presented at the 14th IUGG-General Assembly, Lucerne.
Search in Google Scholar Back to article
Molodenskii , M. S. , Eremeev , V. F. & Yurkina , M. I . 1962 . Methods for study of the external gravitational field and figure of the earth . Israel Program for Scientific Translations , Jerusalem .
Search in Google Scholar Back to article
Robin , L . 1957 . Fonctions sphériques de Legendre et fonctions sphéroidales, tome I . Gauthier-Villars , Paris .
Search in Google Scholar Back to article
Satô , Y . 1950. Transformations of wave-functions related to the transformations of coordinate systems. Bulletin of the Earthquake Research Institute, Tokyo University, 28, 1-22 and 175 - 217.
Search in Google Scholar Back to article
Schmidt , A . 1899 . Formeln zur Transformation der Kugelfunktionen bei linearer Anderung des Koordinatensystems . Zeitschrift far Mathematik und Physik 44 , 327 – 38 .
Search in Google Scholar Back to article