The relationship between mean anomaly block sizes and spherical harmonic representations
Abstract
The often used rule specifying the relationship between a mean anomaly in a block whose side length is ϑ° and a spherical harmonic representation of those data to degree ? (i.e. ϑ° ?=180°) is examined by considering the smoothing parameter used by Pellinen [1966]. We have found that mean anomalies computed from potential coefficients without considering the smoothing parameter can be in error by about 30% of the rootmeansquare anomaly value. In addition, tests with actual 5° mean anomaly data show that there is considerable gravity information above degree 36 in these anomalies. We conclude that the above mentioned rule should be considered only a crude approximation.
 Publication:

Journal of Geophysical Research
 Pub Date:
 November 1977
 DOI:
 10.1029/JB082i033p05360
 Bibcode:
 1977JGR....82.5360R
 Keywords:

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