The non-contact electromagnetic detumbling technologies for space debris and defunct satellites attract a lot of interest from many researchers, in which service satellites use one or two electromagnetic devices onboard to generate a controllable torque to reduce the rotation of the target so that the robotic arm can capture the target without hazardous collisions. However, there are many challenges in modeling the interactions between electromagnetic devices and the target. In this study, the electromagnetic devices and the target are simplified as magnetic dipoles and a slowly rotating conducting shell with typical shape, respectively. The interactions of one and two magnetic dipoles with a slowly rotating conducting spherical shell are derived. Then, the interaction between a slowly rotating conducting non-spherical geometry (a cube or a cylinder) and two magnetic dipoles is calculated numerically. The numerical results show that non-spherical geometries can be regarded as spherical shells in terms of calculating the electromagnetic interactions when the magnetic dipoles are far away from the geometries.

中文翻译：

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缓慢旋转的导电壳与磁偶极子之间的电磁相互作用：理论和数值研究


针对空间碎片和报废卫星的非接触式电磁减滚技术吸引了许多研究人员的兴趣，其中服务卫星利用星载一到两个电磁装置产生可控扭矩来减少目标的旋转，从而使机械臂可以在没有危险碰撞的情况下捕获目标。然而，对电磁设备与目标之间的相互作用进行建模存在许多挑战。在本研究中，电磁装置和目标分别简化为磁偶极子和具有典型形状的缓慢旋转的导电壳。导出了一个和两个磁偶极子与缓慢旋转的导电球壳的相互作用。然后，对缓慢旋转的导电非球形几何体（立方体或圆柱体）与两个磁偶极子之间的相互作用进行数值计算。数值结果表明，当磁偶极子远离几何形状时，在计算电磁相互作用时，非球形几何形状可以视为球壳。