Numerical study of the parametric evolution of bifurcations in the three-dimensional ring problem of N bodies

Hadjifotinou, KG; Kalvouridis, TJ; Gousidou-Koutita, M

dc.contributor.author	Hadjifotinou, KG	en
dc.contributor.author	Kalvouridis, TJ	en
dc.contributor.author	Gousidou-Koutita, M	en
dc.date.accessioned	2014-03-01T01:24:46Z
dc.date.available	2014-03-01T01:24:46Z
dc.date.issued	2006	en
dc.identifier.issn	0093-6413	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17424
dc.subject	Bifurcations	en
dc.subject	N-body problem	en
dc.subject	Numerical computation of periodic orbits	en
dc.subject	Ring configuration	en
dc.subject.classification	Mechanics	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Particles (particulate matter)	en
dc.subject.other	Problem solving	en
dc.subject.other	Three dimensional	en
dc.subject.other	N-body problem	en
dc.subject.other	Numerical computation of periodic orbits	en
dc.subject.other	Ring configuration	en
dc.subject.other	Three-dimensional ring problem	en
dc.subject.other	Bifurcation (mathematics)	en
dc.title	Numerical study of the parametric evolution of bifurcations in the three-dimensional ring problem of N bodies	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.mechrescom.2006.03.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.mechrescom.2006.03.002	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We study the dynamics of a massless particle in an annular configuration of N bodies, N - 1 of which have equal masses m and are located in equal distances on a fictitious circle and one has mass beta m and is located at the center of the circle. Our interest is focused on the bifurcation points from planar to three-dimensional families of symmetric periodic orbits in the above problem. We study numerically the evolution of these bifurcation points with respect to the variation of the mass parameter beta. In particular we investigate the continuous evolution of bifurcation points for values of beta from 2 up to 1000. The two distinct cases of the system's behavior at beta = 2 and 1000 are examined comparatively and various conclusions are drawn regarding the overall dynamical evolution of the three-dimensional system as the relative mass of the central body grows. (C) 2006 Published by Elsevier Ltd.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Mechanics Research Communications	en
dc.identifier.doi	10.1016/j.mechrescom.2006.03.002	en
dc.identifier.isi	ISI:000239465000012	en
dc.identifier.volume	33	en
dc.identifier.issue	6	en
dc.identifier.spage	830	en
dc.identifier.epage	836	en