Double lunar swing-by orbits revisited

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• 作者：XiYun Hou (1) (2)
  Lin Liu (1) (2)
  
• 关键词：double lunar swing ; by orbit ; restricted three ; body problem ; periodic orbit
• 刊名：SCIENCE CHINA Physics, Mechanics & Astronomy
• 出版年：2014
• 出版时间：April 2014
• 年：2014
• 卷：57
• 期：4
• 页码：784-790
• 全文大小：739 KB
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• 作者单位：XiYun Hou (1) (2)
  Lin Liu (1) (2)
  
  1. School of Astronomy and Space Science, Nanjing University, Nanjing, 210093, China
  2. Institute of Space Environment and Astrodynamics, Nanjing University, Nanjing, 210093, China
  
• ISSN：1869-1927

文摘

The double lunar swing-by orbits are a special kind of orbits in the Earth-Moon system. These orbits repeatedly pass through the vicinity of the Moon and change their shapes due to the Moon’s gravity. In the synodic frame of the circular restricted three-body problem consisting of the Earth and the Moon, these orbits are periodic, with two close approaches to the Moon in every orbit period. In this paper, these orbits are revisited. It is found that these orbits belong to the symmetric horseshoe periodic families which bifurcate from the planar Lyapunov family around the collinear libration point L3. Usually, the double lunar swing-by orbits have k=i+j loops, where i is the number of the inner loops and j is the number of outer loops. The genealogy of these orbits with different i and j is studied in this paper. That is, how these double lunar swing-by orbits are organized in the symmetric horseshoe periodic families is explored. In addition, the 2n lunar swing-by orbits (n?) with 2n close approaches to the Moon in one orbit period are also studied.