Intercomparisons of earth gravity models by means of lumped coefficients - Terms for eccentricity and longitude

Mathematics

Scientific paper

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Earth Gravitation, Eccentricity, Geopotential, Longitude Measurement, Lumped Parameter Systems, Harmonic Functions, Mathematical Models, Truncation Errors

Scientific paper

The comparisons of the earth gravity field models by the order of their harmonic coefficients, performed with the basic lumped coefficients (Klokocnik and Pospisilova, 1981) are here extended to cover all harmonic coefficients (both odd and even degree). The lumped coefficients (the 'e-terms' and 'longitudinal' terms), corresponding to 18 earth models, are compared. The large differences, observed for various models and orders, are of particular interest. The result of Klokocnik and Posisilova (1981) was a little pessimistic. The same is true here: various inhomogeneities, sometimes very large, in the accuracy of the harmonic coefficients must exist - even for low orders. Most of the comments and objections, however, relate to the older earth models, which have only a historical value now. The comparisons are only relative ones; an actual test of the accuracy of the models (their calibration) is possible via data with independent status (Klokocnik, 1982, 1983).

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