Numerical investigation of periodic motion in the three-dimensional ring problem of N bodies

Hadjifotinou, KG; Kalvouridis, TJ

dc.contributor.author	Hadjifotinou, KG	en
dc.contributor.author	Kalvouridis, TJ	en
dc.date.accessioned	2014-03-01T01:22:50Z
dc.date.available	2014-03-01T01:22:50Z
dc.date.issued	2005	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16678
dc.subject	Bifurcation of periodic orbits	en
dc.subject	N-body ring configurations	en
dc.subject	Numerical computation of periodic orbits	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	SATELLITE SYSTEMS	en
dc.subject.other	ORBITS	en
dc.subject.other	INTEGRATION	en
dc.title	Numerical investigation of periodic motion in the three-dimensional ring problem of N bodies	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0218127405013617	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127405013617	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We study numerically the three-dimensional periodic motion of a massless particle in an annular configuration of N bodies. This ring model can approximate the dynamics of celestial systems like clusters and planetary rings. After calculating numerically the families of x-symmetric periodic orbits in the planar case for a certain N, we investigate the families' vertical stability and locate those members that present critical instability in the eigenvalues corresponding to the z-axis. These orbits are the points of bifurcation of the planar families of periodic orbits to three-dimensional families. By means of differentially correcting the vertically critical orbits we extend our numerical investigation in the three-dimensional space and locate several families of three-dimensional periodic orbits symmetric to the xz-plane. The evolution of the families and the significant features of their members are subsequently presented. © World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering	en
dc.identifier.doi	10.1142/S0218127405013617	en
dc.identifier.isi	ISI:000232897800029	en
dc.identifier.volume	15	en
dc.identifier.issue	8	en
dc.identifier.spage	2681	en
dc.identifier.epage	2688	en