<h2>AAS 97-126</h2>
<h2>REGULARIZED EQUATIONS OF MOTION FOR THE ALFRIEND-COFFEY  HAMILTONIAN                                                                             </h2>
<h4> I. Aparicio and L. Flora, Universidad de Valladolid, Spain                                                                                                               </h4>
<h2> Abstract </h2>
 We study the regularization of the equations of motion derived from the Alfriend- Coffey second-order radial intermediary for the main problem in Artificial  Satellite Theory.  Appropriate combinations of transformation of both the dependent  and independent variables, along with the introduction of first-integrals and  constraints into the equations, allow one to regularize the second-order  differential equations of motion obtained from the canonical system generated by  the intermediary.  We check the analytical behavior of some transformations capable  of linearizing the pure Kepler problem when confronted with the Alfriend-Coffey  model formulated in homogeneous canonical formalism in extended phase space.