连续小推力作用下的共线平动点

侯锡云; 刘林

doi:10.6052/0459-1879-12-191

连续小推力作用下的共线平动点

doi: 10.6052/0459-1879-12-191

侯锡云^1,2, ,,
刘林^1,2

1.
南京大学天文与空间科学学院,南京210093
2. 南京大学空间环境与航天动力学研究所,南京210093

基金项目: 国家自然科学基金(10903002),教育部新世纪优秀人才基金(NCET-11-0223)和国家高技术研究发展计划(2012AA121602)资助项目.

详细信息

通讯作者:
侯锡云,副教授,主要研究方向:动力天文与轨道力学.E-mail:silence@nju.edu.cn

中图分类号: V448.2
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- 被引次数: 0
出版历程
- 收稿日期: 2012-07-04
- 修回日期: 2012-09-16
- 刊出日期: 2013-03-18

COLLINEAR LIBRATION POINTS WITH CONTINUOUS LOW THRUST

Hou Xiyun^{1,2
, ,},
Liu Lin^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

Funds: The project was supported by the National Natural Science Foundation of China (10903002), New Century Excellent Talents in University (NCET-11-0223) and the National High Technology Research and Development Program of China (2012AA121602).

摘要

摘要: 研究了圆型限制性三体问题的平动点在连续小推力作用下的具体位置和动力学特征的变化. 研究表明,随着小推力方向在空间中的变化,平动点的具体位置也会发生相应的变化,文章详细阐述了这些变化的特征.针对航天任务中应用较多的共线平动点L1和L2,研究了其附近运动的稳定性状态,给出了线性条件稳定解,并在此基础上,构造了条件稳定解的高阶形式,将其结果与数值积分轨道进行了比对,两者符合得很好. 最后,进一步研究了共线平动点附近周期轨道族的演化状态,由于连续小推力引入的非对称性,周期轨道族会发生分岔现象.
- 圆型限制性三体问题 /
- 平动点 /
- 周期轨道
Abstract: Collinear libration points of the restricted three-body problem with constant low thrust are studied. Varying the direction of the low thrust, the positions of the collinear libration points vary correspondingly. The set of the point L1 or L2 forms the shape of an elliptical “sphere” in space while the set of the point L3 forms the shape of a “banana”. The triangular libration points are also studied to show how they are connected with the collinear libration point L3. Concentrating on the points L1 and L2, linear solutions of the motions around them are obtained. Due to the asymmetry introduced by the low thrust, the linear solution has a form different from that of the unperturbed case. High order analytical solutions are also constructed. These solutions are compared with numerically integrated orbits. The comparison shows good agreement with each other. At last, periodic families around these two points are studied. These families include the planar and the vertical Lyapunov families, the halo family and another special periodic family. Bifurcation phenomena of these families are described.
- circular restricted three-body problem /
- libration point /
- periodic orbit

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参考文献(22)

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