Bifurcations from planar to three-dimensional periodic orbits in the ring problem of N bodies with radiating central primary

Kalvouridis, TJ; Hadjifotinou, KG

dc.contributor.author	Kalvouridis, TJ	en
dc.contributor.author	Hadjifotinou, KG	en
dc.date.accessioned	2014-03-01T02:47:17Z
dc.date.available	2014-03-01T02:47:17Z
dc.date.issued	2011	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/33058
dc.subject	Bifurcation of periodic orbits	en
dc.subject	numerical computation of periodic orbits	en
dc.subject	radiation pressure	en
dc.subject	ring problem of N bodies	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	Center of mass	en
dc.subject.other	Critical stability	en
dc.subject.other	Massless particles	en
dc.subject.other	Numerical computations	en
dc.subject.other	Periodic motion	en
dc.subject.other	Periodic orbits	en
dc.subject.other	Radiation coefficient	en
dc.subject.other	radiation pressure	en
dc.subject.other	Radiation source	en
dc.subject.other	Regular polygon	en
dc.subject.other	ring problem of N bodies	en
dc.subject.other	Three dimensional space	en
dc.subject.other	Three-dimensional dynamics	en
dc.subject.other	Three-dimensional motion	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Gravitation	en
dc.subject.other	Orbits	en
dc.subject.other	Pressure effects	en
dc.subject.other	Quantum optics	en
dc.subject.other	Radiation	en
dc.subject.other	Three dimensional	en
dc.title	Bifurcations from planar to three-dimensional periodic orbits in the ring problem of N bodies with radiating central primary	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1142/S0218127411029756	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127411029756	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider the three-dimensional motion of a massless particle in a regular polygon formation of N primary bodies, one of which is located at the system's center of mass. Assuming that the central primary is a radiation source, we apply the simplified theory suggested by Radzievskii, in order to study the effect of radiation pressure in the three-dimensional dynamics of the system. We particularly study the evolution of the zero-velocity surfaces for various values of the radiation coefficient b0 and investigate also the cases with b0 > 1 (that is, radiation surpasses gravity) since for these cases, significant changes in the dynamics occur. We then locate numerically the onset of three-dimensional periodic motion from planar periodic motion by calculating the orbits' vertical critical stability. Many families of three-dimensional periodic motions are presented and the regions of the three-dimensional space where these motions take place, are determined. We subsequently investigate how the bifurcations from planar to three-dimensional periodic orbits are affected by the increase of the primary's radiation coefficient and how the overall dynamics of the system is affected by the value of the primaries' number N. © 2011 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/S0218127411029756	en
dc.identifier.isi	ISI:000295647500012	en
dc.identifier.volume	21	en
dc.identifier.issue	8	en
dc.identifier.spage	2245	en
dc.identifier.epage	2260	en