A Complex Analytic Solution for the Attitude Motion of a Near-Symmetric Rigid Body under Body-Fixed Torques

Details A Complex Analytic Solution for the Attitude Motion of a Near-Symmetric Rigid Body under Body-Fixed Torques A Complex Analytic Solution for the Attitude Motion of a Near-Symmetric Rigid Body under Body-Fixed Torques

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..51..281t&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 51, Issue 3, pp.281-301

Astronomy and Astrophysics

Astronomy

6

Analytic Solutions, Rigid Body Motion, Kinematics

Scientific paper

Although analytic solutions for the attitude motion of a rigid body are available for several special cases, a comprehensive theory does not exist in the literature for the more complicated problems found in spacecraft dynamics. In the present paper, analytic solutions in complex form are derived for the attitude motion of a near-symmetric rigid body under the influence of constant body-fixed torques. The solution is very compact, which enables efficient and rapid machine computation. Numerical simulations reveal that the solution is very accurate when applied to typical spinning spacecraft problems.

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