<h2>AAS 97-146</h2>
<h2>NECESSARY CONDITIONS FOR THE OPTIMALITY OF SYNERGETIC  MANEUVERS                                                                                 </h2>
<h4> S-Y Park and I. M. Ross, Naval Postgraduate School                                                                                                                       </h4>
<h2> Abstract </h2>
 A synergetic maneuver offers the possibility of substantial fuel savings and could  be an important maneuver for a future spacecraft.  We state the problem with all  underlying assumptions and derive the necessary conditions for optimality of the  synergetic maneuver in the presence of a heating-rate constraint.  By using both  the direct and indirect methods of adjoining the hamiltonian, we determine the  types of possible switching structures and show which ones are possible and which  ones do not satisfy the necessary conditions.