Stability Conditions for Permanent Rotations of a Heavy Gyrostat with Two Constant Rotors

Lanchares, V. ; Iñarrea, M. ; Pascual, A. I. ; Elipe, A. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.3390/math10111882

Año: 2022

Publicado en: Mathematics 10, 11 (2022), 1882 [17 pp]
ISSN: 2227-7390

Factor impacto JCR: 2.4 (2022)

Categ. JCR: MATHEMATICS rank: 23 / 329 = 0.07 (2022) - Q1 - T1

Factor impacto CITESCORE: 3.5 - Engineering (Q2) - Mathematics (Q1) - Computer Science (Q2)

Factor impacto SCIMAGO: 0.446 - Computer Science (miscellaneous) (Q2) - Mathematics (miscellaneous) (Q2) - Engineering (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R
Financiación: info:eu-repo/grantAgreement/ES/MCIN/AEI/10.13039/501100011033

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)