Periodic solutions and their parametric evolution in the planar case of the (n + 1) ring problem with oblateness

Elipe, A; Arribas, M; Kalvouridis, TJ

dc.contributor.author	Elipe, A	en
dc.contributor.author	Arribas, M	en
dc.contributor.author	Kalvouridis, TJ	en
dc.date.accessioned	2014-03-01T02:50:51Z
dc.date.available	2014-03-01T02:50:51Z
dc.date.issued	2006	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35159
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-33845989815&partnerID=40&md5=2a77940c263b0093d6af5105f84d9ada	en
dc.subject.other	Angular velocity	en
dc.subject.other	Periodic orbits	en
dc.subject.other	Radiation sources	en
dc.subject.other	Ring problem	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Elementary particles	en
dc.subject.other	Gravitational effects	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Radiation effects	en
dc.subject.other	Velocity measurement	en
dc.subject.other	Space flight	en
dc.title	Periodic solutions and their parametric evolution in the planar case of the (n + 1) ring problem with oblateness	en
heal.type	conferenceItem	en
heal.publicationDate	2006	en
heal.abstract	In the N- body ring problem, the motion of an infinitesimal particle attracted by the gravitational field of (n + 1) bodies is studied. These bodies are arranged in a planar ring configuration. This configuration consists of n primaries of equal mass m located at the vertices of a regular polygon that is rotating on its own plane about its center of mass with a constant angular velocity w. Another primary of mass m0 = βm (β ≥ 0 parameter) is placed at the center of the ring. More over, in this paper we assume that the central body may be an ellipsoid, or a radiation source, which introduces a new parameter ε. For this case, since the number of equilibria and bifurcations is different from the classical problem, the dynamics is much richer. In this paper, we find families of periodic orbits, and make an analysis of the orbits by studying their evolution and stability along the family for several values of the new parameter introduced. Copyright © 2006 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.	en
heal.journalName	Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference, 2006	en
dc.identifier.volume	3	en
dc.identifier.spage	1898	en
dc.identifier.epage	1914	en