Field of Attraction of Polyhedron and Polygonal Plate with Linear Density Distribution

  • K. M. KuznetsovEmail author
  • A. A. Bulychev
  • I. V. Lygin
Conference paper
Part of the Springer Proceedings in Earth and Environmental Sciences book series (SPEES)


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.


Gravimetry Direct gravity problem Linear density distribution 


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Authors and Affiliations

  • K. M. Kuznetsov
    • 1
    Email author
  • A. A. Bulychev
    • 1
  • I. V. Lygin
    • 1
  1. 1.Department of Geophysical Methods of Earth Crust Study, Faculty of GeologyLomonosov Moscow State UniversityMoscowRussian Federation

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