(Институт механики им. С. П. Тимошенко НАН Украины, 2014) Филимонихин, Г. Б.; Филимонихина, И. И.; Пирогов, В. В.; Філімоніхін, Г. Б.; Філімоніхіна, І. І.; Пирогов, В. В.
An isolated mechanical system consisting of the rotated bearing body and
two pendulums implanted on its longitudinal axis is studied. This system models of decrease
or increase by pendulum-, ball-, or fluid-type dampers of the angle of nutation of the space
satellite, position of which is stabilized by the rotation. The conditions of origin, existence
and collapse of steady-state motions of the system in dependence on its parameters. The
conditions of stability of the basic motion (when the bearing body rotates around the longitudinal
axis and pendulums are placed on the same line) and secondary motions (when the
bearing body does not rotate around the longitudinal axis) are established. The residual angle
of nutation is estimated.