%0 Journal Article 
%A Vera López, Juan Antonio
%T Soluciones de equilibrio en un problema generalizado del de Lagrange-Poisson: condiciones necesarias y suficientes de estabilidad
%D 2003
%@ 1132-6360
%U http://hdl.handle.net/10317/453
%X 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].
%K Matemática Aplicada
%K Lagrange-Poisson
%K Giróstato simétrico
%~ GOEDOC, SUB GOETTINGEN