Abstract—

The rotational motion of an axisymmetric artificial satellite with a constant magnet under an effect of a torque produced by the Earth’s magnetic field (EMF) influence on the magnet is studied. The orbital motion of a satellite is calculated taking into account the noncentral nature of the Earth’s gravitational field and the atmospheric drag; the proper magnetic moment of a satellite is parallel to the axis of symmetry. The steady-state motions of a satellite are constructed, in which the axis of symmetry makes a small angle with the EMF intensity vector. The IGRF model is used as the EMF model. It is shown that such motions can be approximated by a sequence of periodic solutions of modified equations of motion. Steady-state motions contain two basis frequencies—the orbital and angular velocity of the Earth’s rotation. Periodic solutions have an orbital period, but the spectrum of the approximating sequence composed of them virtually coincides with the spectrum of the original steady-state mode.

中文翻译：

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单轴磁取向模式下人造地球卫星稳态运动研究

摘要-

研究了具有恒定磁体的轴对称人造卫星在地球磁场（EMF）对磁体产生的转矩作用下的旋转运动。计算卫星的轨道运动时要考虑到地球引力场和大气阻力的非中心性质。卫星的适当磁矩平行于对称轴。构造了卫星的稳态运动，其中对称轴与EMF强度矢量成一个小角度。IGRF模型用作EMF模型。结果表明，可以通过修改后的运动方程的一系列周期解来近似这种运动。稳态运动包含两个基频-地球自转的轨道速度和角速度。