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dc.contributor.authorAydın, Ayhanen_US
dc.date.accessioned2020-09-18T13:47:41Z
dc.date.available2020-09-18T13:47:41Z
dc.date.issued2011-07-14
dc.identifier.citationAydın, A. (2011). Lie-poisson integrators for a rigid satellite on a circular orbit. TWMS Journal of Applied and Engineering Mathematics, 1(2), 150-161.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2425
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/86-vol1no2/156
dc.description.abstractIn the last two decades, many structure preserving numerical methods like Poisson integrators have been investigated in numerical studies. Since the structure matrices are different in many Poisson systems, no integrator is known yet to preserve the Poisson structure of any Poisson system. In the present paper, we propose Lie-Poisson integrators for Lie{Poisson systems whose structure matrix is different from the ones studied before. In particular, explicit Lie-Poisson integrators for the equations of rotational motion of a rigid body (the satellite) on a circular orbit around affixed gravitational center have been constructed based on the splitting. The splitted parts have been composed by a first, a second and a third order compositions. It has been shown that the proposed schemes preserve the quadratic invariants of the equation. Numerical results reveal the preservation of the energy and agree with the theoretical treatment that the invariants lie on the sphere in long-term with different orders of accuracy.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectLie-poisson integratorsen_US
dc.subjectSymplectic integratorsen_US
dc.subjectRigid body equationsen_US
dc.subjectSplittingsen_US
dc.titleLie-poisson integrators for a rigid satellite on a circular orbiten_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume1
dc.identifier.issue2
dc.identifier.startpage150
dc.identifier.endpage161
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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