Dynamic multi-target trajectory planning of aircraft based on Gaussian pseudo-spectral method

Research aircraft “one-to-multiple” in-orbit debris recovery problem, was proposed based on improved gaussian pseudo-spectral method of spacecraft multi-target trajectory optimization method. Through the strong constraint of the inner point, the multi-stage transition trajectory of the aircraft is guaranteed to be smooth. Based on the Lambert double-pulse model, a strategy to determine the mission time window based on the slope of the time-fuel curve is proposed. The iteration strategy of initial value generator based on PSO algorithm is proposed. The simulation results show that the proposed method has large convergence range, is insensitive to the initial value and has high design accuracy. It is an important method to realize the optimization of multi-target in-orbit debris recovery trajectory.