GRAVITATIONAL ATTRACTION OF SOLIDS OF REVOLUTION - PART 1: VERTICAL CIRCULAR CYLINDER WITH RADIAL VARIATION OF DENSITY
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dc.contributor.author | Damiata B.N. | |
dc.contributor.author | Lee T.C. | |
dc.date.accessioned | 2021-04-19T03:33:13Z | |
dc.date.available | 2021-04-19T03:33:13Z | |
dc.date.issued | 2002 | |
dc.identifier | https://www.elibrary.ru/item.asp?id=1095517 | |
dc.identifier.citation | Journal of Applied Geophysics, 2002, 50, 3, 333-349 | |
dc.identifier.issn | 0926-9851 | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/28057 | |
dc.description.abstract | Integral expressions are derived for the vertical component of gravitational attraction arising from vertical circular cylinders and horizontal circular disks with radial variation of density. The expressions contain a single elliptic integral of either the first or second kind and are evaluated easily by numerical integration. Various closed-form solutions are obtained for special cases. For constant density, the expressions reduce to well-known solutions as well as approximations that are based on the solid angle and line element, thus providing a unified theme for the derivations of those solutions and approximations. Numerical implementation is discussed in terms of practical application. | |
dc.subject | GRAVITATIONAL ATTRACTION | |
dc.subject | SOLIDS OF REVOLUTION | |
dc.subject | CYLINDER | |
dc.title | GRAVITATIONAL ATTRACTION OF SOLIDS OF REVOLUTION - PART 1: VERTICAL CIRCULAR CYLINDER WITH RADIAL VARIATION OF DENSITY | |
dc.type | Статья |
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