The relationship between mean anomaly block sizes and spherical harmonic representations
Article first published online: 20 SEP 2012
Copyright 1977 by the American Geophysical Union.
Journal of Geophysical Research
Solid Earth and Planets
Volume 82, Issue 33, pages 5360–5364, 10 November 1977
How to Cite
1977), The relationship between mean anomaly block sizes and spherical harmonic representations, J. Geophys. Res., 82(33), 5360–5364, doi:10.1029/JB082i033p05360.(
- Issue published online: 20 SEP 2012
- Article first published online: 20 SEP 2012
- Manuscript Accepted: 1 AUG 1977
- Manuscript Received: 18 MAY 1977
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 . We have found that mean anomalies computed from potential coefficients without considering the smoothing parameter can be in error by about 30% of the root-mean-square 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.