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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2014, Vol. 35 ›› Issue (8): 2243-2250.doi: 10.7527/S1000-6893.2014.0085

• Electronics and Control • Previous Articles     Next Articles

A Search Strategy of Back Windows for Moon-to-Earth Trajectories Directly Returning to the Earth

ZHENG Aiwu1,2, ZHOU Jianping3   

  1. 1. Science and Technology on Aerospace Flight Dynamics Laboratory, Beijing 100094, China;
    2. Beijing Aerospace Control Center, Beijing 100094, China;
    3. School of Astronautics, Beihang University, Beijing 100191, China
  • Received:2013-09-21 Revised:2014-05-03 Online:2014-08-25 Published:2014-05-16
  • Supported by:

    National Natural Science Foundation of China (11173005, 11203003)

Abstract:

Based on the design of Moon-to-Earth trajectories which directly return to the Earth from the Moon parking orbit, a search strategy for back windows is presented. First, combined with the rapid design of Moon-to-Earth transfer trajectories based on double two-body model, an initial back window is primarily estimated according to minimum reentry angle calculations at that day. If the minimum reentry angle is within the reentry corridor, then the double two-body trajectory which meets the constraints at both ends is searched with the prescribed reentry angle constraint. The results are used as initial values for subsequent precise design of Moon-to-Earth transfer trajectories based on perturbed models. The precise trajectory is obtained by using numerical integration and differential correction. The back window is further determined by the results of the precise trajectories, especially the velocity increment. This strategy greatly accelerates the computational efficiency of the back window, and the window can be quickly found in a wide range. Through the search and results analysis of back windows in January and February 2017, a feasible back window which satisfies fuel-optimal and three consecutive return possibilities is finally proposed.

Key words: Moon-to-Earth trajectories, trajectory design, orbital transfer, perturbed double two-body model, numerical integration, differential correction

CLC Number: