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The gravitational attraction of any polygonally shaped vertical prism with inclined top and bottom faces
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.
The gravitational attraction of any polygonally shaped vertical prism with inclined top and bottom faces
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.
The gravitational attraction of any polygonally shaped vertical prism with inclined top and bottom faces
Smith, D. A. (author)
Journal of Geodesy ; 74
2000
Article (Journal)
English
BKL:
38.73
Geodäsie
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