Stability analysis of an acted asymmetric rigid body by a gyrostatic moment and a constant body-fixed torque

This work focuses on the dynamical rotatory motion of an asymmetric rigid body (RB) subjected to a constant body-fixed torque and vector gyrostatic moment (GM). The is considered in absence first two components GM. novelty current conversion stability analysis this from dimensional phase plane three ones space. Specifically, scenarios stationary torques are considered, one directed minor or major axis, while latter presumed act middle axis. Therefore, space routes generated. In both some novel analytical simulation outcomes provided regarding equilibrium manifolds, periodic solutions non-periodic ones, separator surfaces, as well extreme solutions. significance due its great applications, especially those that use gyro’s theory.