The relationship between mean anomaly block sizes and spherical harmonic representations

Details The relationship between mean anomaly block sizes and spherical harmonic representations The relationship between mean anomaly block sizes and spherical harmonic representations

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jgr....82.5360r&link_type=abstract

Journal of Geophysical Research, vol. 82, Nov. 10, 1977, p. 5360-5364.

Statistics

5

Earth (Planet), Geopotential, Gravitational Fields, Gravity Anomalies, Planetary Gravitation, Spherical Harmonics, Blocks, Data Smoothing, Error Analysis, Harmonic Analysis, Variance (Statistics)

Scientific paper

The frequently used rule specifying the relationship between a mean gravity anomaly in a block whose side length is theta degrees and a spherical harmonic representation of these data to degree l-bar is examined in light of the smoothing parameter used by Pellinen (1966). It is found that if the smoothing parameter is not considered, mean anomalies computed from potential coefficients can be in error by about 30% of the rms anomaly value. It is suggested that the above mentioned rule should be considered only a crude approximation.

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