On the periodic solutions and resonance of spinning satellites in near-circular orbits

Physics

Scientific paper

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Circular Orbits, Floquet Theorem, Gravity Gradient Satellites, Orbital Resonances (Celestial Mechanics), Satellite Attitude Control, Satellite Orbits, Spin Stabilization, Angular Velocity, Orbital Elements, Radiation Pressure, Satellite Design, Satellite Rotation, Solar Radiation

Scientific paper

Attitude motion of spinning axisymmetric satellites in presence of gravity-gradient and solar radiation pressure torques is studied analytically. The approximate closed-form solution developed for the nonlinear, nonautonomous, coupled fourth-order system proves to be an excellent tool in locating periodic solutions of the system in both circular and noncircular orbits. The variational stability of the periodic motion is examined using the Floquet theory. The resonance analysis suggests the existence of critical combinations of system parameters leading to large amplitude oscillations.

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