This paper describes a novel approach for reducing the kinematic position and time errors on a GPS receiver in low Earth orbit. For dual‐frequency GPS receivers, point solution errors are dominated by signal‐in‐space ranging errors, which introduce sharp discontinuities in the position and time estimates when GPS visibility changes. These discontinuities may be calculated and removed, greatly reducing the peaks of the errors, at the expense of introducing a slowly varying bias, which is estimated and removed. The paper gives a detailed description of the algorithm and illustrates its use on a GPS receiver using historical ephemerides. To demonstrate real‐world efficacy, GRACE‐FO observations are processed using the proposed approach. Real‐time results show the reduction of the time error standard deviation by 16% to 1.9ns and the reduction of the 3D RMS error by 17% to 1.06m. Maximum real‐time errors are reduced 26% and 32%, respectively. Delayed processing offers greater reductions of errors, near 40%.

中文翻译：

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一种低复杂度的平滑算法，用于改善LEO航天器上的GPS点解

本文介绍了一种减少低地球轨道GPS接收机运动位置和时间误差的新颖方法。对于双频GPS接收机，点解误差主要受空间信号测距误差的影响，当GPS可见性发生变化时，这会在位置和时间估计中引入明显的不连续性。可以计算并消除这些不连续性，从而大大降低了误差的峰值，但代价是引入了一个缓慢变化的偏差，该偏差被估算并消除了。本文对算法进行了详细说明，并说明了该算法在使用历史星历表的GPS接收机上的用法。为了证明现实效果，使用建议的方法处理了GRACE-FO观测值。实时结果显示时间误差标准偏差降低了16％，为1。9ns，3D RMS误差降低了17％，达到1.06m。最大实时错误分别减少了26％和32％。延迟的处理可以将错误率降低近40％。