TY - JOUR 
A1 - Vera López, Juan Antonio
AU - Vigueras Campuzano, Antonio
T1 - Estabilidad de dos soluciones de equilibrio de un giróstato triaxial con un punto fijo en un campo de potencial U(3)
Y1 - 2001
UR - http://hdl.handle.net/10317/1155
AB - 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.
KW - Matemática Aplicada
KW - Giróstato triaxial
KW - Ecuaciones de Lie-Poisson
KW - Teorema de la Energía-Casimir
KW - Soluciones de equilibrio
KW - Gyrostat triaxial
KW - Lie-Poisson Equations
KW - Theorem Energy-Casimir
KW - Equilibrium solutions
LA - spa
PB - Universidad de Murcia. Servicio de Publicaciones.
ER -