Algorithms for computing the geopotential using a simple density layer

Details Algorithms for computing the geopotential using a simple density layer Algorithms for computing the geopotential using a simple density layer

Sep 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jgr....81.4933m&link_type=abstract

Journal of Geophysical Research, vol. 81, Sept. 10, 1976, p. 4933-4936. NASA-supported research.

Mathematics

2

Celestial Geodesy, Geopotential, Gravity Anomalies, Satellite Perturbation, Acceleration (Physics), Algorithms, Computer Programs, Density Distribution, Earth Surface, Mathematical Models, Numerical Integration, Singularity (Mathematics), Surface Layers, Taylor Series

Scientific paper

Several algorithms have been developed for computing the potential and attraction of a simple density layer. These are numerical cubature, Taylor series, and a mixed analytic and numerical integration using a singularity-matching technique. A computer program has been written to combine these techniques for computing the disturbing acceleration on an artificial earth satellite. A total of 1640 equal-area, constant surface density blocks on an oblate spheroid are used. The singularity-matching algorithm is used in the subsatellite region, Taylor series in the surrounding zone, and numerical cubature on the rest of the earth.

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