caa a22 4500 475737717 CHVBK 20180406123451.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1007/s001900000102 doi (NATIONALLICENCE)springer-10.1007/s001900000102 Smith D. A. National Oceanic and Atmospheric Administration/National Geodetic Survey, N/NGS5, 1315 East-West Highway, SSMC3, Room 9316, Silver Spring MD 20910, USA e-mail: dru@ngs.noaa.gov; Tel.: +1 301 713 3202; Fax: +1 301 713 4172, US aut The gravitational attraction of any polygonally shaped vertical prism with inclined top and bottom faces [Elektronische Daten] [D. A. Smith] Abstract.:  A closed formula for computing the gravitational attraction of a general vertical prism with N+2 faces (N faces are vertical planes, the other two are the inclined top and bottom planes) in Cartesian coordinates is presented. In addition, the special case of a triangular prism is discussed. Algebraic differences and overlooked singularity conditions of a previously published formula of this computation (which was only for the triangular special case) were identified and are also presented. Springer-Verlag Berlin Heidelberg, 2000 Key words: Numerical integration nationallicence Gravity nationallicence Terrain corrections nationallicence https://doi.org/10.1007/s001900000102 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001900000102 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Smith D. A. National Oceanic and Atmospheric Administration/National Geodetic Survey, N/NGS5, 1315 East-West Highway, SSMC3, Room 9316, Silver Spring MD 20910, USA e-mail: dru@ngs.noaa.gov; Tel.: +1 301 713 3202; Fax: +1 301 713 4172, US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer