Bifurcations from planar to three-dimensional periodic orbits in the photo-gravitational restricted four-body problem

Kalvouridis, TJ; Hadjifotinou, KG

dc.contributor.author	Kalvouridis, TJ	en
dc.contributor.author	Hadjifotinou, KG	en
dc.date.accessioned	2014-03-01T01:28:01Z
dc.date.available	2014-03-01T01:28:01Z
dc.date.issued	2008	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18667
dc.subject	Bifurcation of periodic orbits	en
dc.subject	Four-body problem	en
dc.subject	Numerical computation of periodic orbits	en
dc.subject	Radiation pressure	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Numerical methods	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Problem solving	en
dc.subject.other	Three dimensional	en
dc.subject.other	Bifurcation of periodic orbits	en
dc.subject.other	Four-body problem	en
dc.subject.other	Numerical computations	en
dc.subject.other	Radiation pressure	en
dc.subject.other	Time varying systems	en
dc.title	Bifurcations from planar to three-dimensional periodic orbits in the photo-gravitational restricted four-body problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0218127408020392	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127408020392	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We study the bifurcations of three-dimensional periodic motions from two-dimensional orbits of small particles in the neighborhood of a system that consists of three major bodies being always in syzygy. We assume that two of them have equal masses and are located at equal distances from the third body which has a different mass. All or some of the primaries are radiation sources and therefore apart from gravitational forces, we also consider forces that result from radiation. We apply the method of vertical critical stability in order to find the families of three-dimensional periodic orbits that bifurcate from families of planar periodic motions. Consequently, we study the parametric variations of the bifurcation points. © 2008 World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Bifurcation and Chaos	en
dc.identifier.doi	10.1142/S0218127408020392	en
dc.identifier.isi	ISI:000257292100010	en
dc.identifier.volume	18	en
dc.identifier.issue	2	en
dc.identifier.spage	465	en
dc.identifier.epage	479	en