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基于不变流形的登月轨道设计

龚胜平 李俊峰 宝音贺西 高云峰

龚胜平, 李俊峰, 宝音贺西, 高云峰. 基于不变流形的登月轨道设计[J]. 应用数学和力学, 2007, 28(2): 183-190.
引用本文: 龚胜平, 李俊峰, 宝音贺西, 高云峰. 基于不变流形的登月轨道设计[J]. 应用数学和力学, 2007, 28(2): 183-190.
GONG Sheng-ping, LI Jun-feng, BAOYIN He-xi, GAO Yun-feng. Lunar Landing Trajectory Design Based on Invariant Manifold[J]. Applied Mathematics and Mechanics, 2007, 28(2): 183-190.
Citation: GONG Sheng-ping, LI Jun-feng, BAOYIN He-xi, GAO Yun-feng. Lunar Landing Trajectory Design Based on Invariant Manifold[J]. Applied Mathematics and Mechanics, 2007, 28(2): 183-190.

基于不变流形的登月轨道设计

基金项目: 国家自然科学基金资助项目(10672084;10602027)
详细信息
    作者简介:

    龚胜平(1981- ),男,湖北人,博士研究生(联系人.Tel:+86-10-62773402;E-mail:gsp04@mails.tsinghua.edu.cn).

  • 中图分类号: V412.4

Lunar Landing Trajectory Design Based on Invariant Manifold

  • 摘要: 研究了基于三体问题的不变流形设计低成本登月轨道的问题.考虑了黄道面和白道面之间夹角不为零的三维情况,将太阳-地球-月亮-卫星组成的四体问题分解成由太阳-地球-卫星和地球-月亮-卫星组成的非共面的两个限制三体问题.给出了这两个三体系统Halo轨道不变流形与两轨道面相交处进行小的变轨来设计低成本探月轨道的一般方法.比较结果表明用该方法设计的轨道比传统的Hohmann变轨节省约20%的燃料.从轨道能量的角度分析了用流形设计轨道比Hohmann变轨节省燃料的原因,并给出了理论表达式.该方法对于深空探测轨道设计的能量分析具有普遍的适用性,可为设计提供一个选择参数的标准.
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    [9] 高云峰,龚胜平.编队飞行及拉格朗日平动点在深空探测中的应用前景[J].深空探测研究,2005,1(1):36-41.
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    [16] Popescu M,Cardos V.The domain of initial conditions for the class of three-dimentional halo periodical orbits[J].Acta Astronautica,1995,36(3):193-196. doi: 10.1016/0094-5765(95)00107-B
    [17] Wilczak D,Zgliczynski P.Heteroclinic connections between periodic orbits in planar restricted circular three-body problem[J].Communications in Mathematical Physics,2004,234(1):37-75.
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出版历程
  • 收稿日期:  2005-09-20
  • 修回日期:  2006-10-30
  • 刊出日期:  2007-02-15

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