首页> 外文会议>Proceedings of 4th international GOCE User workshop. >OPTIMAL FORWARD CALCULATION METHOD OF THE MARUSSI TENSOR DUE TO A GEOLOGIC STRUCTURE AT GOCE HEIGHT
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OPTIMAL FORWARD CALCULATION METHOD OF THE MARUSSI TENSOR DUE TO A GEOLOGIC STRUCTURE AT GOCE HEIGHT

机译:基于高程地质结构的Marussi张量的最优前向计算方法

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The new observations of GOCE present a challenge torndevelop new calculation methods that take into accountrnthe sphericity of the Earth. We address this problem byrnusing a discretization with a series of tesseroids. Therernis no closed formula giving the gravitational fields ofrnthe tesseroid and numerical integration methods must bernused, such as the Gauss Legendre Cubature (GLC). Arnproblem that arises is that the computation times with therntesseroids are high. Therefore, it is important to optimizernthe computations while maintaining the desired accuracy.rnThis optimization was done using an adaptive computationrnscheme that consists of using a fixed GLC order andrnrecursively subdividing the tesseroids. We have obtainedrnan optimum ratio between the size of the tesseroid andrnits distance from the computation point. Furthermore, wernshow that this size-to-distance ratio is different for therngravitational attraction than for the gravity gradient tensor.
机译:GOCE的新观测结果给开发考虑地球球形的新计算方法提出了挑战。我们通过使用一系列tesseroids离散化来解决此问题。 Therernis不必给出给出tesseroid的引力场和数字积分方法的封闭公式,例如Gauss Legendre Cubature(GLC)。出现的问题是,翼型的计算时间很高。因此,在保持所需精度的同时优化计算非常重要。此优化是使用自适应计算方案完成的,该方案包括使用固定的GLC阶并递归细分Tesseroids。我们获得了齿状脉的大小与距计算点的距离之间的最佳比例。此外,韦恩表示,引力的大小与距离之比与引力梯度张量不同。

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