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A Tikhonov regularization method to estimate Earth's oblateness variations from global GPS observations

机译：一种Tikhonov正则化方法，可根据全球GPS观测值估算地球的扁率变化

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摘要

Earth's oblateness is varying due to the redistribution of Earth's fluid mass and the interaction of various components in the Earth system. Nowadays, continuous Global Positioning System (GPS) observations can estimate Earth's oblateness (J(2)) variations with the least squares method, but are subject to ill-conditioned equations with limited GPS observations and aliasing errors from truncated degrees. In this paper, a Tikhonov regularization method is used to estimate J(2) variations from global continuous GPS observations. Results show that the J(2) has been better estimated from GPS observations based on a Tikhonov regularization method than the usual least squares method when compared to SLR solutions. Furthermore, the amplitudes and phases of the annual and semi-annual J(2) variations are closer to the SLR results with truncated degrees from 2 to 5. Higher truncated degrees will degrade the J(2) estimate. Annual J(2) variations are best estimated from GPS observations with truncated degree 4 and semi-annual J(2) variations are best estimated with truncated degree 2. (C) 2014 Elsevier Ltd. All rights reserved.
机译：由于地球流体质量的重新分布以及地球系统中各个组成部分的相互作用，地球的扁率发生了变化。如今，连续的全球定位系统（GPS）观测值可以使用最小二乘法估算地球的扁度（J（2））变化，但受制于病态方程，GPS观测值有限且截断度造成的混叠误差。在本文中，使用Tikhonov正则化方法从全局连续GPS观测值估计J（2）变化。结果表明，与SLR解决方案相比，基于Tikhonov正则化方法的GPS观测值比通常的最小二乘法更好地估计了J（2）。此外，年度和半年度J（2）变化的幅度和相位更接近于SLR结果，其截断度从2到5。较高的截断度会降低J（2）的估计。年度J（2）的变化最好从4级截断的GPS观测值中估计，而半年J（2）的变化最好在2级截断率的情况下估算。（C）2014 Elsevier Ltd.保留所有权利。

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  • 来源
    《Journal of geodynamics》 |2014年第9期|23-29|共7页
  • 作者

    Jin Shuanggen; Zhang Xinggang;

  • 作者单位

    Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China|Bulent Ecevit Univ, Dept Geomat Engn, TR-67100 Zonguldak, Turkey;

    Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China|Univ Chinese Acad Sci, Beijing 100049, Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Earth's oblateness; GPS; SLR; Regularization method;

    机译：地球扁率;GPS;SLR;正则化方法;

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