Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of ν+1 bodies

Croustalloudi, MN; Kalvouridis, TJ

dc.contributor.author	Croustalloudi, MN	en
dc.contributor.author	Kalvouridis, TJ	en
dc.date.accessioned	2014-03-01T11:46:16Z
dc.date.available	2014-03-01T11:46:16Z
dc.date.issued	2007	en
dc.identifier.issn	0004640X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37760
dc.subject	Celestial mechanics	en
dc.subject	Periodic orbits	en
dc.subject	Ring problem	en
dc.title	Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of ν+1 bodies	en
heal.type	other	en
heal.identifier.primary	10.1007/s10509-007-9716-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10509-007-9716-0	en
heal.publicationDate	2007	en
heal.abstract	We study the simple periodic orbits of a particle that is subject to the gravitational action of the much bigger primary bodies which form a regular polygonal configuration of (ν+1) bodies when ν=8. We investigate the distribution of the characteristic curves of the families and their evolution in the phase space of the initial conditions, we describe various types of simple periodic orbits and we study their linear stability. Plots and tables illustrate the obtained material and reveal many interesting aspects regarding particle dynamics in such a multi-body system. © 2007 Springer Science+Business Media B.V.	en
heal.publisher	Springer Netherlands	en
heal.journalName	Astrophysics and Space Science	en
dc.identifier.doi	10.1007/s10509-007-9716-0	en
dc.identifier.spage	1	en
dc.identifier.epage	12	en