J2项摄动下的Lambert问题算法研究

An algorithm for lambert's solution based on J_2 perturbation

提出了一种基于J2摄动下Lambert问题的算法.首先采用Battin方法解二体情况下Lambert问题,并通过解析轨道理论计算出J2摄动影响下的卫星实际位置,从而得到目标位置与实际位置的偏差,以此偏差来调整二体情况下Lambert问题的目标位置,从而实现在J2摄动下的Lambert问题的求解.该算法计算模型简单,计算量较小,变轨精度较高,可大幅度降低星载计算机的计算量,适于星上自主变轨使用.

An algorithm for the autonomous and fast solution vironment is presented in this paper. By adopting Battion＇ s of Lambert＇ s problem in earth J2 perturbation enmethod 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.