Polygonal homographic orbits in spaces of constant curvature

Pieter Tibboel

doi:10.1090/S0002-9939-2012-11410-8

Polygonal homographic orbits in spaces of constant curvature

Pieter Tibboel

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

22 Citations (Scopus)

Abstract

We prove that the geometry of the 2-dimensional n-body problem for spaces of constant curvature κ ≠ 0, n ≥ 3, does not allow for polygonal homographic solutions, provided that the corresponding orbits are irregular polygons of non-constant size. © 2012 American Mathematical Society.

Original language	English
Pages (from-to)	1465-1471
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-2012-11410-8
Publication status	Published - 2013

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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SP - 1465

EP - 1471

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Polygonal homographic orbits in spaces of constant curvature

Abstract

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