000118203 001__ 118203
000118203 005__ 20240319081020.0
000118203 0247_ $$2doi$$a10.3390/math10111882
000118203 0248_ $$2sideral$$a129599
000118203 037__ $$aART-2022-129599
000118203 041__ $$aeng
000118203 100__ $$aLanchares, V.
000118203 245__ $$aStability Conditions for Permanent Rotations of a Heavy Gyrostat with Two Constant Rotors
000118203 260__ $$c2022
000118203 5060_ $$aAccess copy available to the general public$$fUnrestricted
000118203 5203_ $$aIn 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.
000118203 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R$$9info:eu-repo/grantAgreement/ES/MCIN/AEI/10.13039/501100011033
000118203 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000118203 590__ $$a2.4$$b2022
000118203 592__ $$a0.446$$b2022
000118203 591__ $$aMATHEMATICS$$b23 / 329 = 0.07$$c2022$$dQ1$$eT1
000118203 593__ $$aComputer Science (miscellaneous)$$c2022$$dQ2
000118203 593__ $$aMathematics (miscellaneous)$$c2022$$dQ2
000118203 593__ $$aEngineering (miscellaneous)$$c2022$$dQ2
000118203 594__ $$a3.5$$b2022
000118203 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000118203 700__ $$aIñarrea, M.
000118203 700__ $$aPascual, A. I.
000118203 700__ $$0(orcid)0000-0001-5208-4494$$aElipe, A.$$uUniversidad de Zaragoza
000118203 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000118203 773__ $$g10, 11 (2022), 1882 [17 pp]$$pMathematics (Basel)$$tMathematics$$x2227-7390
000118203 8564_ $$s3054020$$uhttps://zaguan.unizar.es/record/118203/files/texto_completo.pdf$$yVersión publicada
000118203 8564_ $$s2634268$$uhttps://zaguan.unizar.es/record/118203/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000118203 909CO $$ooai:zaguan.unizar.es:118203$$particulos$$pdriver
000118203 951__ $$a2024-03-18-16:08:26
000118203 980__ $$aARTICLE