<h2>AAS  96-135</h2><h2>SATELLITE MOTION IN A VINTI POTENTIAL</h2><h4>L. M. Rater, McDonnell Douglas Aerospace Space & Defense Systems</h4><h2> Abstract </h2>This paper presents the theory of satellite motion in a Vinti potential. The author contributes four modifications to the solution: 1) an analytic means of determining the roots of a certain fourth-order polynomial; 2) the general expression for the time derivative of the angle introduced by Vinti to eliminate a singularity at the poles; 3) elimination of the restriction imposed by Vinti's analytical solution that the satellite orbiting the Earth not have an inclination less than 1� 54' or greater than 178� 6'; and 4) elimination of a possible small divisor from the expression for the constant a2.<br><br>