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Rotational motion of Foton M-4

机译：福田M-4的旋转运动

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The actual controlled rotational motion of the Foton M-4 satellite is reconstructed for the mode of single-axis solar orientation. The reconstruction was carried out using data of onboard measurements of vectors of angular velocity and the strength of the Earth's magnetic field. The reconstruction method is based on the reconstruction of the kinematic equations of the rotational motion of a solid body. According to the method, measurement data of both types collected at a certain time interval are processed together. Measurements of the angular velocity are interpolated by piecewise-linear functions, which are substituted in kinematic differential equations for a quaternion that defines the transition from the satellite instrument coordinate system to the inertial coordinate system. The obtained equations represent the kinematic model of the satellite rotational motion. A solution of these equations that approximates the actual motion is derived from the condition of the best (in the sense of the least squares method) match between the measurement data of the strength vector of the Earth's magnetic field and its calculated values. The described method makes it possible to reconstruct the actual rotational satellite motion using one solution of kinematic equations over time intervals longer than 10 h. The found reconstructions have been used to calculate the residual microaccelerations.
机译：福田M-4卫星的实际受控旋转运动被重构为单轴太阳定向模式。使用机载角速度和地球磁场强度矢量的测量数据进行了重建。重建方法是基于对固体旋转运动的运动方程的重建。根据该方法，以一定的时间间隔收集的两种类型的测量数据被一起处理。角速度的测量通过分段线性函数进行内插，分段线性函数在运动学微分方程中替换为四元数，该四元数定义了从卫星仪器坐标系到惯性坐标系的过渡。所获得的方程式代表了卫星旋转运动的运动学模型。这些方程式的近似于实际运动的解是从地球磁场强度矢量的测量数据与其计算值之间的最佳匹配（从最小二乘法的意义上）得出的。所描述的方法使得可以使用运动方程的一种解决方案在超过10小时的时间间隔内重建实际的卫星旋转运动。找到的重建已用于计算残留的微加速度。

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