The Field of Attraction of a Polyhedron and Polygonal Plate with Linear Density
| Autor: | K. M. Kuznetsov, A. A. Bulychev, I. V. Lygin |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Linear density Analytical expressions Field (physics) Mathematical analysis Computer Science::Computational Geometry 010502 geochemistry & geophysics 01 natural sciences Attraction Polyhedron 0103 physical sciences General Earth and Planetary Sciences Constant (mathematics) 010303 astronomy & astrophysics 0105 earth and related environmental sciences General Environmental Science |
| Zdroj: | Izvestiya, Physics of the Solid Earth. 54:592-601 |
| ISSN: | 1555-6506 1069-3513 |
| DOI: | 10.1134/s1069351318040018 |
| Popis: | New representations of the elements of the fields of attraction (potential and its first derivatives) are presented for the important approximating models such as polyhedron and polygonal plates with the density varying by the linear law. It is shown that these elements are determined through the elements of the fields from the models with the known analytical representations (polyhedron, polygonal plate, and material segment with constant densities) and the additional integrals for which the explicit analytical expressions exist. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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