<h2>AAS 97-119</h2>
<h2> AN EIGENFACTOR SQUARE ROOT ALGORITHM FORMULATION FOR  NONLINEAR DYNAMICS                                                                        </h2>
<h4> J. L. Junkins and H. Schaub, Texas A&M University                                                                                                                        </h4>
<h2> Abstract </h2>
 A novel method is presented to solve the equations of motion for a large class of  constrained and unconstrained dynamical systems.  Given an analytic expression for  the system mass matrix, quasi-coordinated equations of motion are derived in a  manner that generates equations analogous to the dynamics/kinematics partitioning  in Eulerian rigid body dynamics.  A new method is introduced whereby dynamical  constraint equations are solved using a related eigenfactor formulation, foregoing  any need to solve the algebraic constraint equations simultaneously with the  differential equations of motion.