测高重力内区效应的推导与计算

为了提高测高重力恢复计算的精度，本文利用新方法计算沿轨测高垂线偏差分量，并在对逆Vening-Meinesz公式的FFT算法进行分析的基础上导出了内区效应的计算公式.结果证明内区效应与逆Vening-Meinesz公式奇异区内垂线偏差分量的梯度及奇异区面积的大小有关，与重力异常计算点及其附近的奇异区内的垂线偏差无直接关系.最后利用ERS_1卫星测高数据，根据本文提出的方法计算垂线偏差分量，采用本文导出的内区效应公式计算了北大西洋6°×6°区域内区效应对测高重力结果的影响.

Deduction and estimation of innermost zone effects in altimetry gravity algorithm

Based on the analysis of the FFT algorithm for the inverse Vening Meinesz formula, we present a new method to compute the components of the vertical and a formula to estimate the innermost zone effects to improve the accuracy of altimetry gravity recovery. The result shows that the innermost zone effects are related to the gradient of the vertical and the area of the innermost zone, while the vertical itself has no influence on the innermost zone effects. In the end, as an application of the formula derived in this paper, we estimate the innermost zone effects of the gravity recovery from ERS 1 altimetry data for an area of 6°×6° in North Atlantic, and analyze the results of the estimation.