<h2>AAS 95-373</h2><h2>Complex Analytic Solutions for a Spinning Rigid Body Under Constant Transverse Torques</h2><h4>L. A. Randall, J. M. Longuski and R. A. Beck,  Purdue University, West Lafayette, IN</h4><h2> Abstract </h2>Spacecraft motion, in general, involves both rotation and translation.  Using a complex variable formulation, analytic solutions are derived for the change in inertial velocity and angular momentum of a near-symmetric rigid body subject to constant body-fixed forces and transverse torques.  These approximate analytic solutions are based on Euler's equations of motion and Euler angle kinematics.  The compact form of the solutions allows for a more efficient computer code and yields greater insight into the dynamics of the motion.  Numerical simulations verify that the solutions are highly accurate for a wide range of spacecraft motion.
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