Journal
JOURNAL OF GEODESY
Volume 74, Issue 7-8, Pages 552-560Publisher
SPRINGER-VERLAG
DOI: 10.1007/s001900000116
Keywords
rectangular parallelepiped; prism; gravitational potential; derivatives
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As a simple building block, the right rectangular parallelepiped (prism) has an important role mostly in local gravity field modelling studies when the so called flat-Earth approximation is sufficient. Its primary (methodological) advantage follows from the simplicity of the rigorous and consistent analytical forms describing the different gravitation-related quantities. The analytical forms provide numerical values for these quantities which satisfy the functional connections existing between these quantities at the level of numerical precision applied. Closed expressions for the gravitational potential of the prism and its derivatives (up to the third order) are listed for easy reference.
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