Euler's Equation via Lagrangian Dynamics with Generalized Coordinates
| dc.contributor.author | Bernstein, Dennis S. | |
| dc.contributor.author | Goel, Ankit | |
| dc.contributor.author | Kouba, Omran | |
| dc.date.accessioned | 2023-01-11T21:11:03Z | |
| dc.date.available | 2023-01-11T21:11:03Z | |
| dc.date.issued | 2022-12-22 | |
| dc.description.abstract | Euler’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 |
| dc.description.sponsorship | The authors are grateful to one of the reviewers for bringing [4] to our attention and independently confirming (c) of Proposition 1. | en |
| dc.description.uri | https://arxiv.org/abs/2212.11789 | en |
| dc.format.extent | 11 pages | en |
| dc.genre | journal articles | en |
| dc.genre | preprints | en |
| dc.identifier | doi:10.13016/m2is0h-0igj | |
| dc.identifier.uri | https://doi.org/10.48550/arXiv.2212.11789 | |
| dc.identifier.uri | http://hdl.handle.net/11603/26635 | |
| dc.language.iso | en | en |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mechanical Engineering Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
| dc.rights | This 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 |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.title | Euler's Equation via Lagrangian Dynamics with Generalized Coordinates | en |
| dc.type | Text | en |
| dcterms.creator | https://orcid.org/0000-0002-4146-6275 | en |