Spatial central configurations with two twisted regular 4-gons
type: Item
instance of: scholarly article
title: Spatial central configurations with two twisted regular 4-gons
zbMATH Open document ID: 1397.70018
DOI: 10.1155/2013/315976
author: Sen Zhang
author: Furong Zhao
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We study the configuration formed by two squares in two parallel layers separated by a distance. We picture the two layers horizontally with the \(z\)-axis passing through the centers of the two squares. The masses located on the vertices of each square are equal, but we do not assume that the masses of the top square are equal to the masses of the bottom square. We prove that the above configuration of two squares forms a central configuration if and only if the twist angle is equal to \(k\pi/2\) or \(\pi/4+k\pi/2\) (\(k=1,2,3,4\)).
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 6950613
Wikidata QID: Q59005331
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/315976
OpenAlex ID: W1967570894
description: scientific article; zbMATH DE number 6950613