%0 Journal Article 
%A Vera López, Juan Antonio
%T Stability of a four body relative equilibrium
%D 2007
%@ 1312-885X
%U http://hdl.handle.net/10317/1426
%X In the present work we study the lineal stability of a relative equilibrium
for the problem of the gyrostat in newtonian interaction with
three spherical rigid bodies or punctual masses. Geometrically the relative
equilibrium is characterized by a particular symmetry, i.e., the
rigid bodies have all the same mass m and form an equilateral triangle.
On the other hand, the gyrostat of mass m0 with revolution symmetry
around the third axis of inertia is located in the center of this triangle
rotating with an angular velocity ωe, that will be determined, perpendicular
to the plane formed by the previous spherical masses.
%K Matemática Aplicada
%K Problema de cuatro cuerpos
%K Giróstato
%K Equilibrio relativo
%K Lagrange
%K Estabilidad
%K Four body problem
%K Gyrostat
%K Relative equilibria
%K Lagrangian
%K Stability
%~ GOEDOC, SUB GOETTINGEN