Low-thrust trajectory optimization;
Homotopic approach;
Two-point boundary value problem;
PRIMER VECTOR;
TECHNOLOGY;
D O I:
10.1007/s42405-023-00602-7
中图分类号:
V [航空、航天];
学科分类号:
08 ;
0825 ;
摘要:
This paper discusses the application of the homotopy approach to optimizing the free-flight-time low-thrust trajectory considering the performance characteristics. The trajectory optimization problem is formulated as an optimal control problem (two-point boundary value problem). The developed homotopy algorithm to solve the optimal control problem comprises three steps-orbital energy/acceleration matching, flight-time matching, and orbital reshaping. A comprehensive case study demonstrates the effectiveness of the proposed homotopy-based optimization algorithm for an optimal design of a low-thrust trajectory involving long mission time.