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首页> 外文期刊>Journal of Geodetic Science >Planar, spherical and ellipsoidal approximations of Poisson's integral in near zone
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Planar, spherical and ellipsoidal approximations of Poisson's integral in near zone

机译:近区泊松积分的平面,球面和椭球近似

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摘要

Planar, spherical, and ellipsoidal approximations of Poisson's integral for downward continuation (DWC) of gravity anomalies are discussed in this study. The planar approximation of Poisson integral is assessed versus the spherical and ellipsoidal approximations by examining the outcomes of DWC and finally the geoidal heights. We present the analytical solution of Poisson's kernel in the point-mean discretization model that speed up computation time 500 times faster than spherical Poisson kernel while preserving a good numerical accuracy. The new formulas are very simple and stable even for regions with very low height. It is shown that the maximum differences between spherical and planar DWC as well as planar and ellipsoidal DWC are about 6 mm and 18 mm respectively in the geoidal heights for a rough mountainous area such as Iran.
机译:在这项研究中讨论了重力异常向下延续(DWC)的Poisson积分的平面,球形和椭圆形近似。通过检查DWC的结果以及最后的大地水准面高度,可以评估Poisson积分的平面近似与球形近似和椭圆形近似。我们在点均值离散模型中提出了泊松核的解析解决方案,该模型将计算时间比球形泊松核的速度提高了500倍,同时保持了良好的数值精度。即使对于高度非常低的区域,新公式也非常简单和稳定。结果表明,在一个粗糙的山区(如伊朗),在大地水准面高度上,球形DWC和平面DWC以及平面D形和椭圆形DWC之间的最大差分别约为6 mm和18 mm。

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