Uniformly Rotating Homogeneous Rings in Newtonian Gravity

dc.creatorHoratschek, Stefan
dc.creatorPetroff, David
dc.date2008-02-01
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:12Z
dc.date.available2026-07-07T09:57:12Z
dc.descriptionIn this paper, we describe an analytical method for treating uniformly rotating homogeneous rings without a central body in Newtonian gravity. We employ series expansions about the thin ring limit and use the fact that in this limit the cross-section of the ring tends to a circle. The coefficients can in principle be determined up to an arbitrary order. Results are presented here to the 20th order and compared with numerical results.
dc.description10 pages, 5 figures, minor corrections. This paper has be combined with arXiv:0802.0081 and published in MNRAS, see arXiv:0808.2612
dc.identifierhttps://arxiv.org/abs/0802.0078
dc.identifierhttp://arxiv.org/abs/0802.0078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167259
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleUniformly Rotating Homogeneous Rings in Newtonian Gravity
dc.typetext

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