Euler's Equation via Lagrangian Dynamics with Generalized Coordinates

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dc.contributor.authorBernstein, Dennis S.
dc.contributor.authorGoel, Ankit
dc.contributor.authorKouba, Omran
dc.date.accessioned2023-01-11T21:11:03Z
dc.date.available2023-01-11T21:11:03Z
dc.date.issued2022-12-22
dc.description.abstractEuler’s equation relates the change in angular momentum of a rigid body to the applied torque. This paper fills a gap in the literature by using Lagrangian dynamics to derive Euler’s equation in terms of generalized coordinates. This is done by parameterizing the angular velocity vector in terms of 3-2-1 and 3-1-3 Euler angles as well as Euler parameters, that is, unit quaternions.en_US
dc.description.sponsorshipThe authors are grateful to one of the reviewers for bringing [4] to our attention and independently confirming (c) of Proposition 1.en_US
dc.description.urihttps://arxiv.org/abs/2212.11789en_US
dc.format.extent11 pagesen_US
dc.genrejournal articlesen_US
dc.genrepreprintsen_US
dc.identifierdoi:10.13016/m2is0h-0igj
dc.identifier.urihttps://doi.org/10.48550/arXiv.2212.11789
dc.identifier.urihttp://hdl.handle.net/11603/26635
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mechanical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleEuler's Equation via Lagrangian Dynamics with Generalized Coordinatesen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0002-4146-6275en_US

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