Low-energy Lunar Trajectories with Lunar Flybystwo |
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| Authors: | Wei Bing-wei Li Yin-shan |
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| Institution: | Department of Mechanics, School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130 |
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| Abstract: | The low-energy lunar trajectories with lunar flybys are investigated based on the Sun-Earth-Moon bicircular problem (BCP). The characteristics of the distribution of trajectories in the phase space are summarized. Using the invariant manifolds in the BCP system, the low-energy lunar trajectories with lunar flybys are sought. Then, take time as an augmented dimension in the phase space of a nonautonomous system, we present the state space map and reveal the distribution of these lunar trajectories in the phase space. Consequently, we find that the low-energy lunar trajectories exist as families, and that the every moment in the Sun-Earth-Moon synodic period can be the departure date. Finally, we analyse the velocity increment, transfer duration, and system energy for the different trajectory families, and obtain the velocity-impulse optimal family and the transfer-duration optimal family, respectively. |
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| Keywords: | Celestial mechanics Space vehicles planets and satellites: general methods: numerical |
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