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在重力场和磁场影响下自旋刚性航天器的周期运动

Y·A·阿布德尔-阿齐兹 M·H·耶赫亚 F·A·阿布德_萨兰姆 M·纳德万

Y·A·阿布德尔-阿齐兹, M·H·耶赫亚, F·A·阿布德_萨兰姆, M·纳德万. 在重力场和磁场影响下自旋刚性航天器的周期运动[J]. 应用数学和力学, 2006, 27(8): 923-930.
引用本文: Y·A·阿布德尔-阿齐兹, M·H·耶赫亚, F·A·阿布德_萨兰姆, M·纳德万. 在重力场和磁场影响下自旋刚性航天器的周期运动[J]. 应用数学和力学, 2006, 27(8): 923-930.
Yehia A. Abdel-aziz, M. H. Yehia, F. A. Abd El-Salam, M. Radwan. Periodic Motions of a Spinning Rigid Spacecraft Under the Influence of the Gravitional and Magnetic Fields[J]. Applied Mathematics and Mechanics, 2006, 27(8): 923-930.
Citation: Yehia A. Abdel-aziz, M. H. Yehia, F. A. Abd El-Salam, M. Radwan. Periodic Motions of a Spinning Rigid Spacecraft Under the Influence of the Gravitional and Magnetic Fields[J]. Applied Mathematics and Mechanics, 2006, 27(8): 923-930.

在重力场和磁场影响下自旋刚性航天器的周期运动

详细信息
    作者简介:

    M·H·耶赫亚(联系人.Fax:+202-5548020;E-mail:yehia@nriag.sci.eg).

  • 中图分类号: O347

Periodic Motions of a Spinning Rigid Spacecraft Under the Influence of the Gravitional and Magnetic Fields

  • 摘要: 考虑重力场和磁场对轴对称航天器本体的影响,研究其质心在圆形轨道上的运动.通过降低系统的运动方程数,并将它变成为一个带电粒子在电磁场作用下的平面运动.确认系统运动是稳定的,并通过Liapunov全纯积分定理,构建其近似的周期运动.
  • [1] Mesch E,Schweizer G,Stopfkuchen K.Investigation of Earth Satellites With Magnetic Attitude Stabilization[M].Germany: Control Division, Dornier-Werke,1965.
    [2] Beletsky V V.The Motion of Artificial Satellite About Its Center of Mass[M].Moscow:Nauka,1965.
    [3] Kovalenko A P.Magnetic Systems of Control of Flying Apparati[M].Moscow: Machinist,1975.
    [4] Guran A.Classification of singularities of a torque-free gyrostat satellite[J].Mechanics Research Communications,1992,19(5):465—470. doi: 10.1016/0093-6413(92)90027-8
    [5] Lee Sanguk,Lee Jeong-Sook. Attitude control of geostationary satellite by using sliding mode control[J].J Astron Space Sci,1996,13(3):168—173.
    [6] Panagiotis Tsiotras,SHEN Hai-jun. Satellite attitude control and power tracking with energy/momentum wheels[J].Journal of Guidance, Control, and Dynamics,2001,24(1):23—34. doi: 10.2514/2.4705
    [7] Guran A. Chaotic motion of a Kelvin type gyrostat in a circular orbit[J].Acta Mechanica,1992,98:51—61.
    [8] CHEN Li-qun,LIU Yan-zhu.Chaotic attitude motion of a magnetic rigid spacecraft and its control[J].Non-Linear Mechanics,2002,37:293—504.
    [9] 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,2002,339:121—128. doi: 10.1016/S0016-0032(02)00017-0
    [10] Kolosoff G V. On some modification of Hamilton's principle, applied to the problem of mechanics of a rigid body[J].Tr Otd Fizich Nauk Ob-va liubit Estestvozn,1903,11(5):5—13.
    [11] Yehia H M. On the reduction of the order of equations of motion of a rigid body about a fixed point[J].Vestn MGU,Ser Mat Mech,1976,6:76—79.
    [12] Liapunov A M. The general problem of stability of motion[Z]. Collected works, 1956,M-L, AN USSR.
    [13] Yehia H M. Equivalent problems in rigid body dynamics—Ⅰ[J].Celestial Mechanics,1988,41:275—288.
    [14] Yehia H M. On the periodic nearly stationary motions of rigid body about a fixed point[J].Prikl Math Mech,1977,41(3):571—573.
    [15] Al' Nadzhar M Yu. Periodic motion of a satellite-gyrostat orbiting a central mass[J].Cosmic Research,1990,27(4):541—543.
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出版历程
  • 收稿日期:  2005-10-24
  • 修回日期:  2006-02-14
  • 刊出日期:  2006-08-15

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