Integrated Algorithm for Lunar Transfer Trajectories Using a Pseudostate Technique

Abstract

An integrated algorithm to generate the design of one-way transfer trajectories for moon missions is presented. The transfer trajectories are generated by including the gravity e elds of the Earth and the moon based on a pseudostate technique. The pseudostate is determined by assuming a rectilinear hyperbola for the arrival phase. The translunar injection state is obtained by an iteration on the argument of latitude of the parking orbit through Lambert problem solutions. Certain advantages of this algorithm are discussed. The Lambert solution is obtained by using Battin’ s universal algorithm. The numerical results obtained using this algorithm are analyzed and a comparison with the Lambert conic solutions is made. The error in achieving the target with the Lambert conic solution is quantie ed. The role of the pseudostate solution in reducing the error is discussed. The reduction in the error in achieving the target position is found to be more than 95%.