LOW-THRUST TRANSFERS FROM LOW EARTH ORBIT TO GEOSTATIONARY ORBIT MISSIONS TO THE MOON AND EARTH ESCAPE TRAJECTORIES SPAN FLIGHT TIMES FROM MONTHS TO YEARS. THE STRUCTURE OF THESE MANY-REVOLUTION SPIRALS PROVES TO BE COMPUTATIONALLY CHALLENGING IN DERIVING AN OPTIMAL TIME HISTORY OF THRUST MAGNITUDE AND DIRECTION. THIS PROPOSED RESEARCH AIMS TO SOLVE THE LOW-THRUST MANY-REVOLUTION OPTIMIZATION PROBLEM. OPTIMAL LOW-THRUST SPACEFLIGHT TRAJECTORIES OVER HUNDREDS OF ORBITAL REVOLUTIONS OFFER INCREASED MISSION LIFE HEAVIER PAYLOADS AND CHEAPER COSTS. A SOLUTION TO THIS OPTIMIZATION PROBLEM WILL ALSO IMPROVE SUCH MISSIONS AS INTERPLANETARY TRANSFERS AND MOON TOURS AND MAKE NEW MISSION CONCEPTS POSSIBLE. THESE NEW MISSIONS INCLUDE ASTEROID RENDEZVOUS SATELLITE SERVICING AND ACTIVE SPACE DEBRIS REMOVAL. DESIRED OUTCOMES OF TECHNOLOGY AREA 5.4 POSITION NAVIGATION AND TIMING AND TECHNOLOGY AREA 02 IN-SPACE PROPULSION TECHNOLOGIES DIRECTLY BENEFIT FROM THIS RESEARCH. THIS IS INHERENTLY A GUIDANCE NAVIGATION AND CONTROL PROBLEM AND ITS SOLUTION WILL COMBINE WITH LOW-THRUST TECHNOLOGY BREAKTHROUGHS TO ACHIEVE DECREASED TRANSIT TIMES INCREASED PAYLOAD MASS AND REDUCED COSTS. THIS RESEARCH WILL ENABLE MISSIONS TO NEW SCIENCE AND EXPLORATION TARGETS. MODERN LOW-THRUST TOOLS LACK THE FIDELITY TO OPTIMIZE TRAJECTORIES THAT SPAN HUNDREDS OF ORBITAL REVOLUTIONS. THE CENTRAL OUTCOME OF THIS RESEARCH IS A HIGH-FIDELITY OPTIMIZATION TECHNIQUE FOR ANY MULTIOBJECTIVE FUNCTION BE IT MINIMUM FUEL AND MAXIMUM PAYLOAD OR ANY OTHER COMBINATION OF PARAMETERS. A TIERED APPROACH WILL BE EXPLORED THAT ENCOMPASSES DISCRETIZATION SHAPE OPTIMIZATION EVOLUTIONARY ALGORITHMS AND OPTIMAL CONTROL. THE COLORADO CENTER FOR ASTRODYNAMICS RESEARCH (CCAR) AT THE UNIVERSITY OF COLORADO BOULDER IS EXPERIENCED IN LOW-THRUST MISSION DESIGN AND TRAJECTORY OPTIMIZATION AND ACTIVELY PURSUING NEW INVESTIGATIONS. ULTIMATELY INTEGRATING THIS RESEARCH WITH CCAR'S GROWING LOW-THRUST TRAJECTORY OPTIMIZATION CAPABILITIES WILL YIELD A ROBUST HIGHFIDELITY TOOL AS THE END PRODUCT.