Vzz表达式的推导及随纬度变化规律的证明

THE DERIVATION OF THE EXPRESSION OF Vzz AND THE PROVING OF ITS VARIATION WITH THE LATITUDES

武汉地质学院

本文以极简单的数学推导,给出了正常重力垂直梯度的实用表达式,并对其精度作出了评价。本文还从数学上严格证明了如下结论: 正常重力垂直梯度随地理纬度的增大而减小。

By very simple mathematical derivations, the practical expression of (Vzz), the expression of normal vertical gravity gradient, and the comment on the accuracy were given. It is strictly proved in mathematics that the normal vertical gravity gradient is decreasing with the in-creasement of the latitude.