The Newtonian potential of homogeneous polyhedra

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1979 English Publisher:Springer Science and Business Media LLCJournal:Zeitschrift für angewandte Mathematik und Physik ZAMP, volume 30, pages 388-398 (issn: 0044-2275, eissn: 1420-9039,

Copyright policy )

Authors: Waldvogel, Jörg;

doi: 10.1007/bf01601950

The Newtonian potential of homogeneous polyhedra

- Summary
- Subjects
- Metrics

Abstract

The Newtonian potential —U of an arbitrary homogeneous polyhedronD in three-dimensional space is represented in closed form.U, as a function of Cartesian coordinates, is the sum of 8k terms involving the elementary Artanh and arctan functions, wherek is the number of edges ofD.

Related Organizations

ETH Zurich
Switzerland

Keywords

Newtonian potential of homogeneous polyhedra, Statics, gravitational force

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	58
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average