HARDYS MULTIQUADRIC-BIHARMONIC METHOD FOR GRAVITY-FIELD PREDICTIONS

Authors
JEKELI C
Citation
C. Jekeli, HARDYS MULTIQUADRIC-BIHARMONIC METHOD FOR GRAVITY-FIELD PREDICTIONS, Computers & mathematics with applications, 28(7), 1994, pp. 43-46
Citations number
7
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
28
Issue
7
Year of publication
1994
Pages
43 - 46
Database
ISI
SICI code
0898-1221(1994)28:7<43:HMMFGP>2.0.ZU;2-W
Abstract
The potential theoretic foundations proposed by Hardy for his multiqua dric-biharmonic method are shown to be either erroneous or deficient f or the purpose of gravity predictions based on mixed data types. Speci fically, the discretized model for the potential as a sum of point sou rces weighted by distance is nonharmonic in free space; whereas, the r elationships between gravitational quantities (gravity anomaly, geoid undulation, deflections of the vertical, etc.) are predicated on a New tonian (harmonic) potential.