Interplanetary transfer optimization using cost function with variable coecients  

作　　者：Xiangyu Li Dong Qiao Hongbo Chen 

机构地区：[1]School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China [2]Key Laboratory of Dynamics and Control of Flight Vehicle,Ministry of Education,Beijing 100081,China [3]China Academy of Launch Vchicle T'echnology,Beijing 100076,China

出　　处：《Astrodynamics》2019年第2期173-188,共16页航天动力学（英文）

基　　金：This work was supported by Chang Jiang Scholars Program,the National Natural Science Foundation of China(Grant No.11572038 and No.11772050);Graduate Technological Innovation Project of Beijing Institute of Technology.

摘　　要：In this paper,the optimal interplanetary transfer including planetary escape and capture phases is investigated in the heliocentric frame.Based on primer vector theory,a modi ed cost function with variable coecients is developed to re ect the gravitational e ect more precisely.The necessary conditions as well as the transversality conditions of the new cost function are derived to search the optimal solution in xed-time.By introducing the initial and nal coasts,the optimal interplanetary transfer is extended to the time-free situation.Finally,the proposed method is applied to the Earth-Mars and Earth-Asteroid transfer.Comparisons with existing methods show that the proposed method can provide better transfer performances with high eciency.The proposed method extends the application of primer vector theory and provides a fast and accurate reference for preliminary mission design in spacecraft planetary exploration.

关 键 词：orbit optimization primer vector interplanetary transfer time-free 

分 类 号：O17[理学—数学]