Non-gravitational force models are critical not only for the applications of satellite orbit determination and prediction, but also for the studies of gravitational reference sensors in space-based gravitational wave detection missions and accelerometers in gravity satellite missions. In this paper, based on the inertial sensor data from the TianQin-1 (TQ-1) mission, a correction has been made in the non-gravitational force models by applying additional terms related to the orbital periods. After taking into account this correction, about 37 hours of TQ-1 inertial sensor data is calibrated in the sensitive axes, i.e. y- and z-axes, by comparing with the simulated non-gravitational accelerations. It is indicated that the peak-to-peak value of the non-gravitational acceleration correction terms are about 2% and 13% of the measured accelerations in the y- and z-axes, respectively. Within the frequency band below 0.01 Hz, the root mean square of calibration residual errors in y- and z-axes are suppressed from 1.03 × 10⁻⁹ and 3.872 × 10⁻⁹ m s⁻² to 8.14 × 10⁻¹⁰ and 1.343 × 10⁻⁹ m s⁻², respectively. The bias and scale factor of the inertial sensor are also obtained from the calibration by the method of least-squares fit. Meanwhile, the inertial sensor measurements are validated and their signal compositions are analyzed.

中文翻译：

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天琴一号卫星精密惯性传感器非重力测量与校正

非重力模型不仅对卫星轨道确定和预测的应用至关重要，而且对天基引力波探测任务中的重力参考传感器和重力卫星任务中的加速度计的研究也至关重要。在本文中，基于天琴一号（TQ-1）任务的惯性传感器数据，通过应用与轨道周期相关的附加项对非引力模型进行了校正。考虑到这个校正后，TQ-1 惯性传感器数据在敏感轴上被校准了大约 37 小时，即是- 和z-轴，通过与模拟的非重力加速度进行比较。结果表明，非重力加速度修正项的峰峰值分别约为实测加速度的2%和13%。是- 和z-轴，分别。在 0.01 Hz 以下频段内，校准残差的均方根为是- 和z-轴分别从 1.03 × 10 ^-9和 3.872 × 10 ^-9  m s ^-2抑制到 8.14 × 10 ^-10和 1.343 × 10 ^-9  m s ^-2。惯性传感器的偏差和比例因子也是通过最小二乘法拟合的方法从标定中获得的。同时，验证了惯性传感器的测量结果并分析了它们的信号成分。