## Gravity gradient stabilization: lecture at the 3d Winter Institute on Advanced Control at the University of Florida |

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aerodynamic artificial satellites asymptotic passive stabilization asymptotic stability axis behavior BELETSKII body-fixed center of mass circular orbit classical libration problem constraint torque cxp ap d'ALEMBERT damper center damping boom damping methods damping without tuning defined direction cosines dissipation dynamic analysis dynamical equations Earth's field Earth's magnetic field eddy current and/or effective external torque FISCHELL fixed point formulation given gravitational field gravity gradient method gravity gradient stabilization gyros gyrostabilizer HILDEBRANT hinge point hysteresis damping Inertia tensor components inertial space resolved kinematic literature magnetic anchor magnetic hysteresis main body main vehicle non-asymptotic operational purposes orbit eccentricities parametrization passive gravity gradient passive inertial damping passive stabilization method passive stabilization systems pitch libration point in vehicle principal axes reduced mass reference relative motion resolved in axes SARYCHEV satellite attitude Semi-passive inertial damping set of axes solar radiation pressure stable equilibrium orientation subsidiary body treated University of Florida velocity in inertial Vertistat