Determination of the Minimum Delta V Transfer Trajectory from a Low Earth Orbit to a Stable Orbit Around the Lagrangian Point L4 in a Restricted Four-Body System

摘要

In this report, the equations of motion for a satellite in restricted four-body motion are derived and examined. An algorithm is developed that produces a minimum delta v transfer trajectory from a low Earth orbit to establishment in Wheeler's stable periodic orbit around L4. Both a Hohmann transfer and an infinite velocity, straight-line transfer are examined as initial conditions for integration of the equations of motion. Transfer trajectories are determined to ten points around Wheeler's orbit so that a minimum delta v trajectory can be determined. Two types of minimum delta v values were found. One type is a true minimum value, the other type is a limiting value beyond which the target orbit can not be reached. Results are presented on a transfer trajectory that gives a minimum delta v from the points examined. From these results a more accurate transfer location is estimated. (Author)