TY - JOUR
A1 - Vera López, Juan Antonio
T1 - Stability of a four body relative equilibrium
Y1 - 2007
SN - 1312-885X
UR - http://hdl.handle.net/10317/1426
AB - 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.
KW - Problema de cuatro cuerpos
KW - Giróstato
KW - Equilibrio relativo
KW - Lagrange
KW - Estabilidad
KW - Four body problem
KW - Gyrostat
KW - Relative equilibria
KW - Lagrangian
KW - Stability
KW - Matemática Aplicada
LA - eng
PB - Hikari Ltd.
ER -