TY - JOUR 
A1 - Vigueras Campuzano, Antonio
AU - Vera López, Juan Antonio
T1 - Planar rotations for a gyrostat in the three-body problem
Y1 - 2007
UR - http://hdl.handle.net/10317/456
AB - We consider the non-canonical Hamiltonian dynamics of a gyrostat in the three
body problem. By means of geometric-mechanics methods we study the approximate Poisson dynamics that arises when we develop the potential in series of Legendre and truncate this in an arbitrary order k. Working in the reduced problem,the existence and number of equilibria, that we denominate planar rotation type in analogy with classic results on the topic, is considered. Necessary and sufficient conditions for their existence in a approximate dynamics of order k is obtained and we give explicit expressions of this equilibria, useful for the later study of the stability of the same ones. A complete study of the planar rotation type equilibria is
made in approximate dynamics or order zero and one.
KW - Matemática Aplicada
KW - Equilibrio relativo
KW - Problemas de tres cuerpos
KW - Plano de rotación
KW - Relative balance
KW - Gyrostat
KW - Three body problems
KW - Rotation plan
KW - Giróstato
LA - eng
PB - Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza
ER -