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本文给出了变换维宁-曼乃兹函数来进行垂线偏差计算的一般性公式。这种方法即在考虑点附近一个不太大的区域内应用地面重力资料进行数值积分计算,而在该区域之外的整个地球上则采用重力异常的球谐函数的级数公式来计算。这样就能一方面减少了繁重的积分计算工作量,另一方面又改善了级数的收敛性和减少计算误差。本文还给出了五种不同的计算方案。每一方案中导出了相应的公式,系数值和误差估计。并在最后作了比较。
This paper gives a general formula for calculating the vertical deviation by transforming the Weining-Mannitz function. This method calculates the numerical integral using ground gravity data in a modest area near the point of interest, whereas the gravitationally anomalous spherical harmonic series formula outside the area is used to calculate the gravitational anomalies. This will reduce the heavy workload of integral calculation on the one hand and improve the convergence of series and reduce the calculation error on the other hand. This article also gives five different calculation schemes. The corresponding formulas, coefficient values and error estimates are derived for each scenario. And in the end made a comparison.