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

在重力场和磁场影响下自旋刚性航天器的周期运动

1.
国家天文学与地球物理学研究所国家天文学与地球物理学研究所,开罗埃及 00000;2.曼苏拉大学理学院数学系,曼苏拉埃及 00000;3.开罗大学理学院天文学系,开罗埃及 12613

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
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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

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

1.
National Research Institute of Astronomy and Geophysics, Helwan, Cairo, Egypt;

摘要

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．
- 周期运动 /
- Routh函数 /
- 刚性航天器
Abstract: The motion of a magnetized axisymmetric spacecraft about its center of mass in a circular orbit is considered,taking the gravitational and magnetic effects of the central body into account.Equations of motion of the redueced system are transformed to equations of plane motion of a charged particle under the action of electric and magnetic fields.Stationary motions of the system were determined and periodic motions near them are conustructed using the Liapounov theorem of the holomorphic integral.
- periodic motions /
- Routhian /
- rigid spacecraft

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参考文献(15)

[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.