EI、Scopus 收录
中文核心期刊

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

连续小推力作用下的共线平动点

侯锡云 刘林

侯锡云, 刘林. 连续小推力作用下的共线平动点[J]. 力学学报, 2013, 45(2): 265-273. doi: 10.6052/0459-1879-12-191
引用本文: 侯锡云, 刘林. 连续小推力作用下的共线平动点[J]. 力学学报, 2013, 45(2): 265-273. doi: 10.6052/0459-1879-12-191
Hou Xiyun, Liu Lin. COLLINEAR LIBRATION POINTS WITH CONTINUOUS LOW THRUST[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 265-273. doi: 10.6052/0459-1879-12-191
Citation: Hou Xiyun, Liu Lin. COLLINEAR LIBRATION POINTS WITH CONTINUOUS LOW THRUST[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 265-273. 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
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

COLLINEAR LIBRATION POINTS WITH CONTINUOUS LOW THRUST

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: 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.

     

  • Dunham DW, Farquhar RW. Libration point missions, 1978-2002. In: Gómez G, Lo MW, Masdemont JJ, eds. Proceedings of the Conference on Libration Point Orbits and Applications, Singapore: World Scientific, 2003. 45-73
    Farquhar RW, Dunharn DW, Guo Y, et al. Utilization of libration points for human explorations in the sun-earth- moon system and beyond. Acta Astronautica, 2004, 55 (3-9): 687-700  
    Broschart SB, Chung MJ, Hatch SJ, et al. Preliminary trajectory design for the Artemis Lunar Mission, AAS 09- 382, Astrodynamics Specialist Conference, Pittsburgh, Pennsylvania, USA, 2009
    Hoffman TL. GRAIL: Gravity Mapping the Moon. In: Proceedings of the 2009 IEEE Aerospace Conference, Big Sky, MT, USA, March 7-14, 2009, 1-7: 293-300
    吴伟仁,崔平远,乔栋等. 嫦娥二号日地拉格朗日L2点探测轨道设计与实施. 科学通报,2012,57:1987-1991 (Wu Weiren, Cui Pingyuan, Qiao Dong, et al. Design and performance of exploring trajectory to Sun-Earth L2 point for Chang'E-2 mission. Chin Sci Bull, 2012, 57: 1987-1991 (in Chinese))
    Gómez G, Llibre J, Martínez R, et al. Dynamics and Mission Design near Libration Point Orbits, Vol. I, Fundamentals: The Case of Collinear Libration Points. Singapore: World Scientific, 2001
    Gómez G, Llibre J, Martínez R, et al. Dynamics and Mission Design near Libration Point Orbits, Vol. III, Advanced Methods for Collinear Points. Singapore: World Scientific, 2001
    Jorba A, Masdemond J. Dynamics in the center manifold of the collinear points of the restricted three-body problem. Physica D, 1999, 132: 189-213  
    赵军,蔡志勤,齐朝晖. 基于平动点轨道的绳系卫星编队重构仿真. 系统仿真学报,2011,23(12):2805-2811 (Zhao Jun, Cai Zhiqin, Qi Zhaohui. Simulation of reconfiguration of tethered satellite formations in libration point orbits. it Journal of System Simulation, 2011, 23(12): 2805-2811 (in Chinese))
    张汉清,李言俊,张科. 一种新的共线平动点拟周期轨道稳定保持策略. 宇航学报,2012,33(3):318-324 (Zhang Haiqing, Li Yanjun, Zhang Ke. A novel station-keeping strategy for quasi-periodic orbits in the vicinity of collinear libration points. Journal of Astronautics, 2012, 33(3): 318-324 (in Chinese))
    Chen Y, Baoyin H, Li JF. Trajectory design for the moon departure libration point mission in full ephemeris model. Science China Technological Sciences, 2011, 54: 2924-2934  
    Baoyin H, McInnes CR. Solar sail halo orbits at the sun-earth artificial L1 point. Celestial Mechanics and Dynamical Astronomy, 2006, 94: 155-171  
    Simo J, McInnes CR. Solar sail trajectories at the Earth-Moon Lagrange Points. In: Proc. of 59th International Astronautical Congress (IAC'08), Glasgow, Scotland, 2008
    Simo J, McInnes CR. Designing displaced lunar orbits using low-thrust Propulsion. Journal of Guidance, Control and Dynamics, 2010, 33: 259-265  
    Farrés A, Jorba À. Solar sail surfing along families of equilibrium points. Acta Astronautica, 2008, 63: 249-257  
    Farrés A, Jorba À. Dynamics of a solar sail near a halo orbit. Acta Astronautica, 2010, 67: 979-990  
    Farrés A, Jorba À. Periodic and quasi-periodic motions of a solar sail close to sl1 in the earth-sun system. Celestial Mechanics and Dynamical Astronomy, 2010, 107: 233-253  
    McInnes CR. Artificial lagrange points for a partially reflecting flat solar sail. Journal of Guidance, Control and Dynamics, 1999, 22: 185-187  
    Baig S, McInnes CR. Artificial halo orbits for low-thrust propulsion Spacecraft. Celestial Mechanics and Dynamical Astronomy, 2009, 104: 321-335  
    Hou XY, Liu L. On lyapunov families around collinear libration points. The Astronomical Journal, 2009, 137: 4577-4585  
    Hénon M. Vertical stability of periodic orbits in the restricted Problem. Celestial Mechanics, 1973, 8: 269-272  
    Mondelo JM. Contribution to the study of fourier methods for quasi-periodical functions and the vicinity of the collinear libration points. [PhD Thesis]. Barcelona, Spain: Universitat de Barcelona, 2001
  • 加载中
计量
  • 文章访问数:  2172
  • HTML全文浏览量:  43
  • PDF下载量:  868
  • 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

目录

    /

    返回文章
    返回