Low-Thrust Trajectory in Interplanetary Flight Solved by Pseudospectral Method

doi:10.16182/j.issn1004731x.joss.201709022

Abstract

Abstract: The local low-thrust trajectory optimization problem in interplanetary flight was obtained with pseudo spectral method. The dynamic equations of the low-thrust orbit and the design ideas of the indirect method to solve the low-thrust trajectory were introduced. How to use the pseudospectral method to solve the trajectory optimization problem was given. The GPOPS solver (General Pseudospectral Optimal Control Software) was used to design the optimal low-thrust orbit, and the performance indexes of designing the low-thrust orbit are chosen as time-optimal, fuel-optimal and energy-optimal condition. The GPOPS solver was used to obtain the initial values of the costate variables which were used to solve the local orbit optimization with indirect method. The comparison between the optimal trajectories solved by the direct and indirect methods was obtained, which proves the feasibility of the GPOPS solver to solve the local orbit optimization problem in interplanetary flight.

Key words: pseudospectral method, indirect method, GPOPS solver, initial values of costate variables

CLC Number:

TP391

Jiang Ruiye, Chao Tao, Wang Songyan, Yang Ming. Low-Thrust Trajectory in Interplanetary Flight Solved by Pseudospectral Method[J]. Journal of System Simulation, 2017, 29(9): 2043-2053.

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