Stabilization due to gyroscopic coupling in dual-spin satellites subject to gravitational torques

Physics

Scientific paper

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Circular Orbits, Dual Spin Spacecraft, Gravitational Effects, Gyroscopic Coupling, Spacecraft Stability, Torque, Angular Velocity, Orbit Calculation, Pointing Control Systems, Rigid Structures, Spacecraft Control

Scientific paper

The stability of attitude equilibria relative to gravitational torques for a rigid satellite in a circular orbit is divided into three inertia regions: (1) the Lagrange region of assured Liapunov stability, (2) the Beletskii-Delp region, often described as stabilized due to gyroscopic coupling, and (3) the instability region. These regions are generalized to the case of dual-spin of gyrostatic satellites whose internal spin momentum is along a principal axis. The stability boundaries are obtained for the twenty-four possible attitude equilibrium orientations of these satellites; variations of these boundaries, corresponding to changes in the internal momentum magnitude or to an alignment of this momentum with a different principal axis, are also determined.

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