Exact analytic solution for the spin-up maneuver of an axially symmetric spacecraft

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Ventura, Jacopo
Romano, Marcello
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2014
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Abstract
The problem of spinning-up an axially symmetric spacecraft subjected to an external torque constant in magnitude and parallel to the symmetry axis is considered. The existing exact analytic solution for an axially symmetric body is applied for the first time to this problem. The proposed solution is valid for any initial conditions of attitude and angular velocity and for any length of time and rotation amplitude. Furthermore, the proposed solution can be numerically evaluated up to any desired level of accuracy. Numerical experiments and comparison with an existing approximated solution and with the integration of the equations of motion are reported in the paper. Finally, a new approximated solution obtained from the exact one is introduced in this paper.
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The article of record may be found at http://dx.doi.org/10.1016/j.actaastro.2014.07.038
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Ventura, Jacopo, and Marcello Romano. "Exact analytic solution for the spin-up maneuver of an axially symmetric spacecraft." Acta Astronautica 104.1 (2014): 324-340.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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