A new matrix development of the potential and attraction at exterior points as a function of the inertia tensors |
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| Authors: | Tomás Soler |
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| Institution: | (1) National Geodetic Survey, Charting and Geodetic Services, National Ocean Service, NOAA, 20852 Rockville, MD, USA |
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| Abstract: | In this work a novel tensor-matrix notation is first introduced and later applied to develop a new general expression to compute the potential of a body at exterior points as a function of the full tensors of inertia. As a corollary the general matrix development of the gravitational attraction in function of the inertia tensors is also established. For clarity the first terms in both expansions are given explicitly in a simplified matrix form. Some classical particular cases still used in geophysical and geodetic literature are pointed out and discussed. |
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