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

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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


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