Search Space Pruning Based on Image Tools for Preliminary Interplanetary Trajectory Design  

作　　者：杨大林 徐波 高有涛 

机构地区：[1]College of Astronautics,Nanjing University of Aeronautics and Astronautics [2]School of Astronomy & Space Science,Nanjing University

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2015年第5期530-540,共11页南京航空航天大学学报（英文版）

基　　金：supported by the National High Technology Research and Development Program (863)of China (2012AA121602);the National Natural Science Foundation of China(11078001);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20133218120037);the Fundamental Research Funds for the Central Universities under Grant(NS2014091)

摘　　要：A novel gravity assist space pruning(GASP)algorithm based on image tools is proposed for solving interplanetary trajectory optimization problem.Compared with traditional GASP algorithm,the concept of image is introduced to avoid missing interesting solutions with appropriate number of function evaluations.Image tools allow us to evaluate the objective function in regions in place of points and provide an effective way to evaluate the forward and backward constraints for the multi-gravity assist trajectory optimization problem.Since the interesting solutions of the interplanetary trajectory optimization problem are often clustered in a small portion of the search space rather than being overall evenly distributed,the regionwise evaluations with image tools make the little large interval with the proper Lipschitzian tolerances sampling effective.The detailed steps of the proposed method are presented and two examples including Earth Venus Mars(EVM)transfer and Earth Venus Venus Earth Jupiter Saturn(EVVEJS)transfer are given.Finally,a comparison with solutions given by the literature demonstrates the effectiveness of the proposed method.A novel gravity assist space pruning（GASP）algorithm based on image tools is proposed for solving interplanetary trajectory optimization problem.Compared with traditional GASP algorithm,the concept of image is introduced to avoid missing interesting solutions with appropriate number of function evaluations.Image tools allow us to evaluate the objective function in regions in place of points and provide an effective way to evaluate the forward and backward constraints for the multi-gravity assist trajectory optimization problem.Since the interesting solutions of the interplanetary trajectory optimization problem are often clustered in a small portion of the search space rather than being overall evenly distributed,the regionwise evaluations with image tools make the little large interval with the proper Lipschitzian tolerances sampling effective.The detailed steps of the proposed method are presented and two examples including Earth Venus Mars（EVM）transfer and Earth Venus Venus Earth Jupiter Saturn（EVVEJS）transfer are given.Finally,a comparison with solutions given by the literature demonstrates the effectiveness of the proposed method.

关 键 词：trajectory optimization global optimization local minima gravity assist space pruning (GASP) algorithm image tool 

分 类 号：V412[航空宇航科学与技术—航空宇航推进理论与工程]