Calculation of derivatives of the earth's gravitational potential for use in satellite geodesy and geodynamics

Details Calculation of derivatives of the earth's gravitational potential for use in satellite geodesy and geodynamics Calculation of derivatives of the earth's gravitational potential for use in satellite geodesy and geodynamics

Apr 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986kfnt....2r..51a&link_type=abstract

Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 2, Mar.-Apr. 1986, p. 51-58. In Russian.

Statistics

Computation

Celestial Geodesy, Earth Gravitation, Geodynamics, Geopotential, Gravitational Fields, Orbit Calculation, Spherical Harmonics, Algorithms, Geodetic Satellites, Lageos (Satellite), Run Time (Computers)

Scientific paper

The derivatives of the earth's gravitational potential are expressed in terms of series of normalized spherical harmonics, and their coefficients are obtained in the form of linear combinations of normalized Stokes constants. The resulting expressions are used to develop an efficient algorithm for calculating the derivatives. The use of this algorithm instead of the well-known Cunningham's (1970) algorithm makes it possible to reduce the time required for the computation.

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