Periodic solutions in the planar (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	2014-03-01T01:26:54Z
dc.date.available	2014-03-01T01:26:54Z
dc.date.issued	2007	en
dc.identifier.issn	0731-5090	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18274
dc.subject	Periodic Solution	en
dc.subject.classification	Engineering, Aerospace	en
dc.subject.classification	Instruments & Instrumentation	en
dc.subject.other	Gravitational field	en
dc.subject.other	Periodic solutions	en
dc.subject.other	Regular polygon	en
dc.subject.other	Angular velocity	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Gravitation	en
dc.subject.other	Time varying systems	en
dc.subject.other	Problem solving	en
dc.title	Periodic solutions in the planar (n + 1) ring problem with oblateness	en
heal.type	journalArticle	en
heal.identifier.primary	10.2514/1.29524	en
heal.identifier.secondary	http://dx.doi.org/10.2514/1.29524	en
heal.language	English	en
heal.publicationDate	2007	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 = β ≥ 0 parameter) is placed at the center of the ring. Moreover, we assume that the central body may be an ellipsoid, or a radiation source, which introduces a new parameter e. In this case, the dynamics are found to be much richer than the classical problem due to the different equilibria and bifurcation characteristics. 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 © 2007 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.	en
heal.publisher	AMER INST AERONAUT ASTRONAUT	en
heal.journalName	Journal of Guidance, Control, and Dynamics	en
dc.identifier.doi	10.2514/1.29524	en
dc.identifier.isi	ISI:000250885500008	en
dc.identifier.volume	30	en
dc.identifier.issue	6	en
dc.identifier.spage	1640	en
dc.identifier.epage	1648	en