On a property of zero-velocity curves in N -body ring-type systems

Kalvouridis, TJ

dc.contributor.author	Kalvouridis, TJ	en
dc.date.accessioned	2014-03-01T01:21:09Z
dc.date.available	2014-03-01T01:21:09Z
dc.date.issued	2004	en
dc.identifier.issn	0032-0633	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16096
dc.subject	N -body systems	en
dc.subject	Permissible areas of motion	en
dc.subject	Properties of zero-velocity curves	en
dc.subject	Ring problem	en
dc.subject	Zero-velocity curves	en
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Gravitational effects	en
dc.subject.other	Mathematical models	en
dc.subject.other	Maxwell equations	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Planetary surface analysis	en
dc.subject.other	N-body systems	en
dc.subject.other	Permissible areas of motion	en
dc.subject.other	Ring problem	en
dc.subject.other	Zero-velocity curves	en
dc.subject.other	Aerospace engineering	en
dc.title	On a property of zero-velocity curves in N -body ring-type systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.pss.2004.05.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.pss.2004.05.001	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Zero-velocity curves are a useful tool in the investigation of various aspects of a dynamical system. These curves that distinguish the regions where the motion of a particle is permissible from the regions where this motion is not permitted, present some basic properties. In this paper, we prove that in symmetric ring-type systems where a small particle moves under the resultant gravitational field of N coplanar big bodies, of which v = N - 1 are arranged at equal distances among them on the periphery of a circle, a new property concerning these curves, exists. All the zero-velocity curves drawn in the space of the initial conditions (x(0), C) and concerning configurations with the same number of peripheral primaries but various mass parameters, pass through two different focal points, the position of which does not depend on the value of the mass parameter. (C) 2004 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Planetary and Space Science	en
dc.identifier.doi	10.1016/j.pss.2004.05.001	en
dc.identifier.isi	ISI:000224217300002	en
dc.identifier.volume	52	en
dc.identifier.issue	10	en
dc.identifier.spage	909	en
dc.identifier.epage	914	en