| 地月高能共振循环轨道的快速计算及最优选择 |
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| 引用本文： | 郑越,泮斌峰,唐硕.地月高能共振循环轨道的快速计算及最优选择[J].宇航学报,2021,42(6):710-721. |
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| 作者姓名： | 郑越 泮斌峰 唐硕 |
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| 作者单位： | 1.西安航空学院，西安 710077；2. 西北工业大学航天学院，西安 710072 |
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| 基金项目： | 国家自然科学基金(11672234);陕西省科技计划项目(2021JQ 846);西安航空学院校级科研基金项目(2020KY0209) |
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| 摘 要： | 针对现有高能共振循环轨道计算方法存在计算量大、有可能改变轨道共振特性和不能构造共振比大于2.3的地月循环轨道等缺点,本文提出了一种地月圆型限制性三体问题下高能共振循环轨道的快速计算方法。首先根据轨道在月球附近的组成弧段对高能共振循环轨道进行分类;然后根据轨道类型构建二体开普勒椭圆轨道;再进一步计算圆型限制性三体问题下的地月高能共振循环轨道;最后根据能量、稳定性、时间周期、近地点高度和近月点高度对所计算出的地月高能共振循环轨道进行最优选择。仿真结果表明,本文所提出的方法简单有效,能够计算出共振比为5:2的地月高能共振循环轨道。
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| 关 键 词： | 圆型限制性三体问题 高能共振循环轨道 共振比 开普勒椭圆轨道 |
| 收稿时间： | 2020-05-10 |
Rapid Calculation and Optimal Selection of High energy Resonant Cyclers in Earth Moon System |
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| ZHENG Yue,PAN Bin feng,TANG Shuo.Rapid Calculation and Optimal Selection of High energy Resonant Cyclers in Earth Moon System[J].Journal of Astronautics,2021,42(6):710-721. |
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| Authors: | ZHENG Yue PAN Bin feng TANG Shuo |
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| Affiliation: | 1. Xi’an Aeronautical University, Xi’an 710077, China;2. School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China |
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| Abstract: | Current methods have the disadvantages of requiring large amount of computation, the possibility of changing cyclers’ resonance ratio, and the inability to construct the Earth Moon cyclers with resonance ratio greater than 2.3.A fast method for calculating the high energy resonant cyclers in the circular restricted three body problem is proposed in this paper. Firstly, the high energy resonance cyclers are classified according to their arcs near the Moon. Secondly, the two body Keplerian elliptical orbits are constructed according to the types and the resonance ratios of the high energy resonance cyclers. Thirdly, the Earth Moon high energy resonant cyclers are calculated in the circular restricted three body problem. Finally, according to energy, stability, time period, perigee distance and perilune distance, the optimal high energy resonant cycler is given. The numerical results are provided to reveal that the proposed method is simple and effective, and the Earth Moon high energy resonance cyclers with a resonance ratio of 5∶2 can be calculated. |
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