Soluciones de equilibrio en un problema generalizado del de Lagrange-Poisson: condiciones necesarias y suficientes de estabilidad
Author
Vera López, Juan AntonioKnowledge Area
Matemática AplicadaSponsors
MECD (Proyecto no PB98-1576).Publication date
2003-01-01Publisher
Servicio de Publicaciones de la Universidad de ZaragozaBibliographic Citation
VERA LÓPEZ, Juan Antonio, VIGUERAS CAMPUZANO, Antonio.Soluciones de equilibrio en un problema generalizado del de Lagrange-Poisson: condiciones necesarias y suficientes de estabilidad. Monografías de la Real Academia de Ciencias de Zaragoza, (22): 141-150, 2003. ISSN 1132-6360Keywords
Lagrange-PoissonGiróstato simétrico
Abstract
In this paper, we consider the problem of motion of a symmetrical gyrostat with
a fixed point in a Newtonian force field, where the potential function adopts the
form U = U(K3), the gyrostatic momentum and the position vector of the center
of mass are on the axis of symmetry. First, we obtain the equilibrium positions
of this problem; then, by means of the Energy-Casimir method, we give sufficient
conditions of stability for some of these equilibria and, by spectral methods, we
obtain necessary conditions of stability.
The obtained results generalize the previous
papers [7], [8],[9], [1] and [2].
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