We present novel expressions for the gravitational potential and its first derivative induced by a prism, having a constant mass density, at an observation point coincident with a prism vertex. They are obtained as a special case of more general formulas which can be derived for an arbitrary homogeneous polyhedron. Remarkably, the expressions presented in the paper entail a reduced computational burden with respect to alternative ones reported in the specialized literature.
(2012). New Expressions of the Gravitational Potential and its Derivatives for the Prism . Retrieved from http://hdl.handle.net/10446/157838
New Expressions of the Gravitational Potential and its Derivatives for the Prism
D'Urso, M. G.
2012-01-01
Abstract
We present novel expressions for the gravitational potential and its first derivative induced by a prism, having a constant mass density, at an observation point coincident with a prism vertex. They are obtained as a special case of more general formulas which can be derived for an arbitrary homogeneous polyhedron. Remarkably, the expressions presented in the paper entail a reduced computational burden with respect to alternative ones reported in the specialized literature.File allegato/i alla scheda:
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