An algorithm for Lambert's solution based on J₂ perturbation

An algorithm for the autonomous and fast solution of Lambert's problem in earth J₂ perturbation environment is presented in this paper. By adopting Battion's method to solve the two-body Lambert's problem, the actual position of satellite is obtained by analytical orbital theory. By using the error between the actual position and the object position, the object position in two-body Lambert's problem is adjusted time after time. Then the Lambert's problem in earth J₂ perturbation is solved. Simulation result demonstrates that the autonomous algorithm has advantages of simple modeling, fast convergence, low computational costs and high orbit maneuver precision. The onboard computer calculating quantity can be decreased by far.