The gravitational potential and its derivatives for the prism

Citation
D. Nagy et al., The gravitational potential and its derivatives for the prism, J GEODESY, 74(7-8), 2000, pp. 552-560
Citations number
29
Categorie Soggetti
Earth Sciences
Journal title
JOURNAL OF GEODESY
ISSN journal
09497714 → ACNP
Volume
74
Issue
7-8
Year of publication
2000
Pages
552 - 560
Database
ISI
SICI code
0949-7714(200011)74:7-8<552:TGPAID>2.0.ZU;2-E
Abstract
As a simple building block, the right rectangular parallelepiped (prism) ha s an important role mostly in local gravity field modelling studies when th e so called flat-Earth approximation is sufficient. Its primary (methodolog ical) advantage follows from the simplicity of the rigorous and consistent analytical forms describing the different gravitation-related quantities. T he analytical forms provide numerical values for these quantities which sat isfy the functional connections existing between these quantities at the le vel of numerical precision applied. Closed expressions for the gravitationa l potential of the prism and its derivatives (up to the third order) are li sted for easy reference.