118203 20240319081020.0 doi 10.3390/math10111882 sideral 129599 ART-2022-129599 eng Lanchares, V. Stability Conditions for Permanent Rotations of a Heavy Gyrostat with Two Constant Rotors 2022 Access copy available to the general public Unrestricted In this paper, we consider the motion of an asymmetric heavy gyrostat, when its center of mass lies along one of the principal axes of inertia. We determine the possible permanent rotations and, by means of the Energy-Casimir method, we give sufficient stability conditions. We prove that there exist permanent stable rotations when the gyrostat is oriented in any direction of the space, by the action of two spinning rotors, one of them aligned along the principal axis, where the center of mass lies. We also derive necessary stability conditions that, in some cases, are the same as the sufficient ones. info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R info:eu-repo/grantAgreement/ES/MCIN/AEI/10.13039/501100011033 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.4 2022 MATHEMATICS 23 / 329 = 0.07 2022 Q1 T1 0.446 2022 Computer Science (miscellaneous) 2022 Q2 Mathematics (miscellaneous) 2022 Q2 Engineering (miscellaneous) 2022 Q2 3.5 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Iñarrea, M. Pascual, A. I. Elipe, A. Universidad de Zaragoza (orcid)0000-0001-5208-4494 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 10, 11 (2022), 1882 [17 pp] Mathematics (Basel) Mathematics 2227-7390 3054020 http://zaguan.unizar.es/record/118203/files/texto_completo.pdf Versión publicada 2634268 http://zaguan.unizar.es/record/118203/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118203 articulos driver 2024-03-18-16:08:26 ARTICLE