{ "id": "1405.4705", "version": "v1", "published": "2014-05-19T13:02:54.000Z", "updated": "2014-05-19T13:02:54.000Z", "title": "Central Configurations Formed By Two Twisted Regular Polygons", "authors": [ "Xiang Yu", "Shiqing Zhang" ], "categories": [ "math-ph", "math.MP" ], "abstract": "In this paper, we study the necessary conditions and sufficient conditions for the central configurations formed by two twisted regular polygons (one N-regular polygon and one L-regular polygon). We wish to extend the results of the symmetrical central configurations formed by two twisted N-regular polygons, however, it will be proved that there are not more central configurations in a more general setting than the central configurations considered for some more particular situations before.", "revisions": [ { "version": "v1", "updated": "2014-05-19T13:02:54.000Z" } ], "analyses": { "keywords": [ "central configurations", "twisted regular polygons", "sufficient conditions", "twisted n-regular polygons", "l-regular polygon" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1405.4705Y" } } }