A correction on the Lambert targeting problem in the perturbed space environment

A novel correction algorithm is presented in this article to modify the Lambert targeting problem (LTP). To take into consideration space perturbations, the proposed LTPC (LTP Correction) algorithm combines the LTP with the shooting method and Particle Swarm Optimization (PSO). Once the LTP is applied, the five consecutive iterative stages are established to modify it. The novel developed algorithm is called LTPC, which modifies LTP to regard space perturbations.The Earth's oblateness is considered as a perturbation of interest. This is while the proposed method can regard any space perturbations. The results designate that the delta true anomaly between the desired arrival true anomaly and the arrival true anomaly of the proposed LTPC is much less than the delta true anomaly between the desired arrival true anomaly and the arrival true anomaly of the classical LTP. This is while there is no significant difference between the flight time and total requirement velocity change between LTP and the proposed LTPC. Therefore, the proposed LTPC has a much higher targeting accuracy, which is due to the ability to consider space perturbations.