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Equilibria of Multibody Chain in Orbit Plane

dc.contributor.authorGuerman, Anna
dc.date.accessioned2019-01-21T09:41:24Z
dc.date.available2019-01-21T09:41:24Z
dc.date.issued2003
dc.description.abstractWe study equilibria of a multibody system in the orbit plane within the framework of a model of n + 1 material points connected by n light rods into an n-link chain. The junctions are spherical hinges. The center of mass of the system moves along a circular orbit. The equilibrium equations are reduced to a fairly simple form that enables their analysis.We find all the equilibria of an n-link chain in the orbit plane and prove that each rod can occupy one of the following three positions: it can be directed along the tangent to the orbit of the center of mass of the chain; it can be a member of a group of adjacent vertical rods, being the center of mass of this group situated on the tangent to the orbit; and, finally, an oblique orientation is possible if the rod joins either two vertical groups of rods or the end of a vertical group with the tangent to the orbit. It is shown that the number of equilibria does not exceed 2^(2n). We include the analysis of two examples (three- and four-link chains) and represent the schemes of all the realizable equilibria in these cases.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationA. D. Guerman. Equilibria of multibody chain in orbit plane. Journal of Guidance, Control and Dynamics, v. 26, No. 6, 2003, 942-948pt_PT
dc.identifier.doi10.2514/2.6922pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/6809
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherAIAApt_PT
dc.subjectMultisatellite chainpt_PT
dc.subjectFormation flyingpt_PT
dc.subjectOrbital dynamicspt_PT
dc.titleEquilibria of Multibody Chain in Orbit Planept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage948pt_PT
oaire.citation.issue6pt_PT
oaire.citation.startPage942pt_PT
oaire.citation.titleJournal of Guidance, Control, and Dynamicspt_PT
oaire.citation.volume26pt_PT
person.familyNameGuerman
person.givenNameAnna
person.identifier.ciencia-id371D-AFE3-6BC9
person.identifier.orcid0000-0002-9811-1758
person.identifier.ridD-5706-2011
person.identifier.scopus-author-id6508339570
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication8035f3c1-d11c-4faa-b627-b29f587f402a
relation.isAuthorOfPublication.latestForDiscovery8035f3c1-d11c-4faa-b627-b29f587f402a

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