CHEN Li-qun, LIU Yan-zhu. Chaotic Attitude Motion of a Magnetic Rigid Spacecraft[J]. Applied Mathematics and Mechanics, 2003, 24(4): 385-390.
Citation: CHEN Li-qun, LIU Yan-zhu. Chaotic Attitude Motion of a Magnetic Rigid Spacecraft[J]. Applied Mathematics and Mechanics, 2003, 24(4): 385-390.

Chaotic Attitude Motion of a Magnetic Rigid Spacecraft

  • Received Date: 2000-10-18
  • Rev Recd Date: 2002-11-29
  • Publish Date: 2003-04-15
  • Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit of the earth is treated.The dynamical model of the problem was derived from the law of moment of momentum.The Melnikov analysis was carried out to prove the e}dstence of a complicated nonwandering Cantor set.The dynamical behaviors were numerically investigated by means of time history, Poincare map, power spectrum and Liapunov exponents.Numerical simulations indicate that the onset of chaos is characterized by break of torus as the increase of the tongue of the magnetic forces.
  • loading
  • [1]
    Rimrott F J P.Introductory Attitude Dynamics[M].Berlin:Springer,1989,1-310.
    [2]
    刘延柱.航天器姿态动力学[M].北京:国防工业出版社,1995,1-347.
    [3]
    LIU Yan-zhu,CHEN Li-qun.Nonliear problems in spacecraft attitude dynamics[A].In: CHIEN Wei-zang Ed.Proc 3rd Int Conf Nonlinear Mech[C].Shanghai Univ Press,1998,80-86.
    [4]
    刘延柱,陈立群,成功,等.航天器姿态动力学中的稳定性、分岔和混沌[J].力学进展,2000,30(3):351-357.
    [5]
    Beletsky V V.Regular und Chaotisch Bewegung Sturrer Korper[M].Stuttgart:Teubner-Verlag,1995,31-65.
    [6]
    Beletsky V V,Pivoarov M L,Starostin E L.Regular and chaotic motions in applied dynamics of a rigid body[J].Chaos,1996,6(2):155-166.
    [7]
    CHEN Li-qun, LIU Yan-zhu, CHENG Gong.Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit near the equatorial plane[J].Journal of the Franklin Institute:Engineering and Applied Mathematics,2002,339(1):121-128.
    [8]
    CHEN Li-qun, LIU Yan-zhu.Chaotic attitude motion of a magnetic rigid spacecraft and its control[J].International Journal of Non-Linear Mechanics,2002,37(3):493-504.
    [9]
    刘延柱,陈立群.非线性动力学[M].上海:上海交通大学出版社,2002,217-225.
    [10]
    Wolf A,Swift J B,Swinney H L,et al.Determining Liapunov exponents from a time series[J].Physica D,1985,16(3):285-317.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2707) PDF downloads(532) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return