The gravitational attraction of any polygonally shaped vertical prism with inclined top and bottom faces
The gravitational attraction of any polygonally shaped vertical prism with inclined top and bottom faces
复制标题
DOI：
10.1007/s001900000102
复制
发表时间：
2000-07
影响因子：
4.4
通讯作者：
D. A. Smith
中科院分区：
文献类型：
--
作者：
D. A. Smith
本文给出了在直角坐标系下计算一般N +2面（N面为垂直面，另两面为倾斜的顶面和底面）垂直棱柱引力的封闭公式。此外，还讨论了三棱柱的特殊情况。代数差异和忽略的奇异性条件，以前公布的公式的计算（这是只为三角形的特殊情况）被确定，并提出。
A closed formula for computing the gravitational attraction of a general vertical prism withN+2 faces (Nfaces 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.