Lunar capture in the planar restricted three-body problem

Yi Qi*, Shijie Xu

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

15 引用 (Scopus)

摘要

The capture dynamics is an important field in Astronomy and Astronautics. In this paper, the near-optimal lunar capture in the Earth-Moon transfer is investigated under the frame of the planar circular restricted three-body problem. We try to work out how to achieve the permanent lunar capture with the minimum maneuver consumption. This problem is decomposed into two parts: the pre-maneuver part and the post-maneuver part. In the pre-maneuver part, considering the criteria of the gravitational capture, we obtain the minimum pre-maneuver velocity via the numerical backward integration. In the post-maneuver part, using the Poincarò section and the KAM theory, we find the maximum post-maneuver velocity to achieve the permanent capture. Synthesized the results of the two parts, a new method is presented to find the near-optimal maneuver position and the minimum maneuver consumption. The method presented is simple and visible, and can provide abundant capture orbits for the design of low energy Earth-Moon transfers.

源语言英语
页(从-至)401-422
页数22
期刊Celestial Mechanics and Dynamical Astronomy
120
4
DOI
出版状态已出版 - 12月 2014
已对外发布

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