New Expressions of the Gravitational Potential and Its Derivatives for the Prism

  • Maria Grazia D’Urso
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 137)


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.


Newtonian gravitational field First-order gradient Right rectangular parallelepiped Prism 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Di.M.S.A.T. - Università di CassinoCassinoItaly

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