Abstract
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.
Original language | English |
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Pages (from-to) | 401-422 |
Number of pages | 22 |
Journal | Celestial Mechanics and Dynamical Astronomy |
Volume | 120 |
Issue number | 4 |
DOIs | |
Publication status | Published - Dec 2014 |
Externally published | Yes |
Keywords
- Earth,Moon transfer
- Gravitational capture
- KAM tori
- Low energy transfer
- Near-optimal lunar capture
- Restricted three body problem