<h2>AAS 95-306</h2><h2>V� Leveraging for Interplanetary Missions:  Multiple - Revolution Orbit Techniques</h2><h4>J. A. Sims, J. M. Longuski and A. J. Staugler, Purdue University, West Lafayette, IN</h4><h2> Abstract </h2>The term V� leveraging  refers to the use of a relatively small deep-space maneuver to modify the V� at a body.  This maneuver, in conjunction with a gravity assist at the body, reduces the launch energy requirements and total �V for a mission.  A typical example of V� leveraging is the �V-EGA trajectory introduced by Hollenbeck.  In this paper the concept is generalized to include multiple revolutions of both the spacecraft and the gravity-assist body.  Analytic results predict the existence of low launch energy trajectories to asteroids and Mercury.  Numerical results confirm these predictions.<br><br>