%0 Journal Article 
%A Vera López, Juan Antonio
%A Vigueras Campuzano, Antonio
%T Estabilidad de dos soluciones de equilibrio de un giróstato triaxial con un punto fijo en un campo de potencial U(3)
%D 2001
%U http://hdl.handle.net/10317/1155
%X We consider the problem of motion of a triaxial gyrostat with a fixed point in a
Newtonian force field when the potential function is approximated by U(3). First, we
give sufficient and necessary conditions for the existence of two equilibrium solutions.
Then, by means of the Energy-Casimir method, we obtain sufficient conditions for
the stability of the above equilibria. The obtained results generalize other previous
results for rigid bodies or gyrostats in [9], [10], [1] , [2] and [7]. This method presents
the advantage of being easy to use; in other way the problem is very difficult because
of the complicated expression of the potential function.
%K Matemática Aplicada
%K Giróstato triaxial
%K Ecuaciones de Lie-Poisson
%K Teorema de la Energía-Casimir
%K Soluciones de equilibrio
%K Gyrostat triaxial
%K Lie-Poisson Equations
%K Theorem Energy-Casimir
%K Equilibrium solutions
%~ GOEDOC, SUB GOETTINGEN