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首页> 外文会议>Gravity, Geoid and Space Missions: GGSM 2004; International Association of Geodesy Symposia; vol.129 >Error Propagation with Geographic Specificity for Very High Degree Geopotential Models
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Error Propagation with Geographic Specificity for Very High Degree Geopotential Models

机译：高度位势模型的具有地理特异性的误差传播

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摘要

Users of high-resolution global gravitational models require geographically specific estimates of the error associated with various gravitational functionals (e.g., Δg, N, ξ, η) computed from the model parameters. These estimates are composed of the commission and the omission error implied by the specific model. Rigorous computation of the commission error implied by any model requires the complete error covariance matrix of its estimated parameters. Given this matrix, one can compute the commission error of various model-derived functionals, using covariance propagation. The error covariance matrix of a spherical harmonic model complete to degree and order 2160 has dimension ～ 4.7 million. Because the computation of such a matrix is beyond the existing computing technology, an alternative method is presented here which is capable of producing geographically specific estimates of a model's commission error, without the need to form, invert, and propagate such large matrices. The method presented here uses integral formulas and requires as input the error variances of the gravity anomaly data that are used in the development of the gravitational model.
机译：高分辨率全球重力模型的用户需要对与从模型参数计算出的各种重力函数（例如Δg，N，ξ，η）相关的误差进行地理上的特定估计。这些估计值由特定模型隐含的佣金和遗漏误差组成。任何模型所隐含的佣金误差的严格计算都需要其估计参数的完整误差协方差矩阵。有了这个矩阵，就可以使用协方差传播来计算各种模型衍生功能的佣金误差。球谐模型的误差协方差矩阵的阶次为2160，维数约为470万。由于此类矩阵的计算超出了现有的计算技术，因此在此提出了一种替代方法，该方法能够生成模型的委托误差的特定于地理位置的估计，而无需形成，求逆和传播此类大矩阵。这里介绍的方法使用积分公式，并且需要重力模型开发中使用的重力异常数据的误差方差作为输入。

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