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The performance comparison is performed among Legendre (LPM),Gauss (GPM),and Radau (RPM) pseudospectral methods,which are utilized to optimize the low-thrust Earth-Mars rendezvous trajectories.In order to provide a fair comparison condition,a shape-based approach is implemented to provide equivalent initial guesses for all the next accurate optimization,and the SQP algorithm is used to solve the resulting nonlinear programming problem for each of the discretization.The behavior and performance of the three pseudospectral methods are compared on the mission of Earth-Mars Rendezvous in 2013.