Resonant Attitude Instabilities for a Symmetric Satellite in a Circular Orbit

Details Resonant Attitude Instabilities for a Symmetric Satellite in a Circular Orbit Resonant Attitude Instabilities for a Symmetric Satellite in a Circular Orbit

Jul 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...5..433h&link_type=abstract

Celestial Mechanics, Volume 5, Issue 4, pp.433-450

Physics

4

Scientific paper

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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