GRAVITY GRADIENT TENSORS DUE TO A POLYHEDRON WITH POLYGONAL FACETS1 |
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Authors: | YUE-KUEN KWOK |
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Institution: | Department of Mathematics, Hong Kong University of Science and Technology, 12/F, World Shipping Centre, 7 Canton Road, Kowloon, Hong Kong. |
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Abstract: | Using the conjugate complex variables formulation, closed-form formulae for the gravity gradient tensors of the gravitational potential due to a homogeneous polyhedral body composed of polygonal facets are derived. The treatise considers the cases of the observation point being inside the polyhedron, on the surface of a facet, or outside the polyhedron. |
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