Abstract
New presentation of field of attraction elements (potential and its first derivatives) is demonstrated for such important approximating models as polyhedron and polygonal plate with density that changes in accordance with linear laws. It is shown that these elements are defined by elements of models’ fields with known analytical representations (polyhedron, polygonal plate and material segment with constant density) and additional integrals for which explicit analytical expressions exist.
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References
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Kuznetsov, K.M., Bulychev, A.A., Lygin, I.V. (2019). Field of Attraction of Polyhedron and Polygonal Plate with Linear Density Distribution. In: Nurgaliev, D., Khairullina, N. (eds) Practical and Theoretical Aspects of Geological Interpretation of Gravitational, Magnetic and Electric Fields. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-97670-9_11
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DOI: https://doi.org/10.1007/978-3-319-97670-9_11
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