Abstract

In this paper we analyze theoretically the effect of geomagnetic field on rotation of passive conductive satellites of a spherical shape such as Russian-Australian satellite WESTPAC or Russian satellite Larets. The main cause of this effect is the generation of eddy currents and satellite magnetic moment, which interact with the Earth’s magnetic field. The analytical solutions have been derived for orbital and intrinsic magnetic moments of satellite, which result from a translatory motion of an Earth-orbiting satellite and from a satellite spin around axes passing through its center of mass. An arbitrary relation between skin layer depth and satellite radius is assumed. Both a torque acting on satellite in geomagnetic field and the changes in its angular velocity are derived. The satellite orbiting the Earth in a circular orbit with an arbitrary tilt of the orbital plane is studied having regard to rotation of the vector of geomagnetic dipole moment. A characteristic time it takes for the angular velocity of the satellite to decrease exponentially is estimated. Peculiarities of residual irregular vibrations of the satellite angular velocity are examined.

中文翻译：

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地磁场对无源导电卫星运动的影响

摘要

在本文中，我们从理论上分析了地磁场对诸如俄罗斯-澳大利亚卫星WESTPAC或俄罗斯卫星Larets之类的球形无源导电卫星旋转的影响。造成这种影响的主要原因是涡流和卫星磁矩的产生，它们与地球磁场相互作用。已经为卫星的轨道和固有磁矩导出了解析解，这是由绕地球轨道的卫星的平移运动以及绕着穿过其质心的轴旋转的卫星产生的。假定表皮层深度与卫星半径之间具有任意关系。既可以得出在地磁场中作用在卫星上的转矩，也可以得出其角速度的变化。考虑到地磁偶极矩矢量的旋转，研究了绕圆形轨道绕地球轨道运行的卫星，轨道平面具有任意倾斜度。估计了卫星角速度呈指数下降所需的特征时间。检查了卫星角速度的残余不规则振动的特殊性。