Abstract
The roll-yaw attitude motion of a spinning symmetric satellite in a circular orbit is investigated with particular emphasis on the behavior near resonance. Resonance in circular orbit occurs if there is a low-order commensurability between the coupled roll-yaw attitude frequencies. For the so-called Delp region where the Hamiltonian describing the linearized attitude oscillations is not positive definite, there can exist, near resonance, a simultaneous growth or decay of the energy of the two normal modes. Two sections of the resonance lineω 2=3ω 1 permitting the largest effects are determined and the equations of motion are integrated numerically as a check on the resonance theory. In particular, resonance-induced instabilities are confirmed.
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Hitzl, D.L. Resonant attitude instabilities for a symmetric satellite in a circular orbit. Celestial Mechanics 5, 433–450 (1972). https://doi.org/10.1007/BF01464771
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DOI: https://doi.org/10.1007/BF01464771