Effect of the Gravity and Magnetic Field to Find Regular Precessions of a Satellite-gyrostat with Principal Axes on a Circular Orbit

Q4 Chemical Engineering
H. Yehia, H. N. El-kenani
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引用次数: 0

Abstract

We consider the motion of a magnetized satellite-gyrostat in a circular orbit due to the combined influence of uniform gravity and magnetic fields. Based on the Lagrangian equations, the necessary conditions for the existence of regular precessions are determined in which the axis of precession is perpendicular to the orbital plane. All possible regular precessions and permanent rotations are determined and classified. We show the usage of Lagrange equations taking Eulerian angles as generalized coordinates for determining the regular precessions is more effective and accurate than utilization of Euler-Poisson equations.
重磁场对圆轨道上主轴卫星陀螺旋进规律的影响
研究了在均匀重力场和磁场共同作用下磁化卫星陀螺在圆形轨道上的运动。从拉格朗日方程出发,确定了进动轴垂直于轨道平面的规则进动存在的必要条件。所有可能的规则岁差和永久旋转都被确定和分类。我们证明了使用以欧拉角作为广义坐标的拉格朗日方程来确定规则进动比使用欧拉-泊松方程更有效和准确。
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来源期刊
Applied and Computational Mechanics
Applied and Computational Mechanics Engineering-Computational Mechanics
CiteScore
0.80
自引率
0.00%
发文量
10
审稿时长
14 weeks
期刊介绍: The ACM journal covers a broad spectrum of topics in all fields of applied and computational mechanics with special emphasis on mathematical modelling and numerical simulations with experimental support, if relevant. Our audience is the international scientific community, academics as well as engineers interested in such disciplines. Original research papers falling into the following areas are considered for possible publication: solid mechanics, mechanics of materials, thermodynamics, biomechanics and mechanobiology, fluid-structure interaction, dynamics of multibody systems, mechatronics, vibrations and waves, reliability and durability of structures, structural damage and fracture mechanics, heterogenous media and multiscale problems, structural mechanics, experimental methods in mechanics. This list is neither exhaustive nor fixed.
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