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Analytical method for error analysis of high-low satellite-to-satellite tracking missions

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Abstract

We present an analytical relationship between the high-low satellite-to-satellite tracking measurement errors and the accuracy of the gravity field recovery from the point of view of signal theory, which concerns the field where geodesy is in contact with physics and technical sciences. This method enables us to gain a better understanding of the effects of the instrument noise and the mission parameters on the gravity field recovery directly, especially for the analysis of the noise spectral characteristics. It is a helpful tool for the pre-mission analysis before full-scale simulations are conducted. By taking the advantage of the analytical expression, this study discusses how the orbit errors and accelerometer noise degrade the accuracy of the gravity field recovery from high-low satellite-to-satellite tracking observations. The results show that the noise level of orbit errors is at least one to four orders of magnitude larger than that of accelerometers in the measurement bandwidth with the state-of-the-art technologies, which indicates that the accuracy of the gravity field coefficients is mainly limited by the level of orbit errors for high-low satellite-to-satellite tracking observations.

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Authors and Affiliations

  1. Key Laboratory of Fundamental Physical Quantities Measurement of Ministry of Education, School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Lin Cai, Zebing Zhou & Jun Luo

  2. Institute of Geophysics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Lin Cai & Zebing Zhou

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  1. Lin Cai
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  2. Zebing Zhou
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  3. Jun Luo
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Correspondence to Zebing Zhou.

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Cai, L., Zhou, Z. & Luo, J. Analytical method for error analysis of high-low satellite-to-satellite tracking missions. Stud Geophys Geod 59, 380–393 (2015). https://doi.org/10.1007/s11200-014-0153-6

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  • DOI: https://doi.org/10.1007/s11200-014-0153-6

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