Abstract
The effect of aliasing is rigorously formulated for various currently practiced methods of harmonic analysis of gravity anomalies on the sphere. This shows clearly not only the suboptimality, in terms of aliasing error, of some methods, but also the inappropriateness of uniformly weighted averaging of gravity anomalies in latitude/longitude grid cells. The following results are obtained: 1) The simple quadratures method and related methods of analysis are biased even with band-limited functions. 2) A modification of Colombo’s method of least squares, requiring only a slight increase in number of computations, further reduces the aliasing error. 3) The essential elimination of aliasing can only be effected with weighted, spherical cap averages, not with the often used, unweighted, constant angular block averages.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
