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本文首先证明了虚拟场元满足Stokes关系,换言之,根据Poisson核的再生特性,由已知的扰动位与重力异常的地面值T与△g,求出的Bjerhammar球面的相应虚拟值T~*与△g~*,服从经典的Stokes积分公式(19);其次,以T~*与 △g~*为基本元素构造 Bjerhammar球面单层位(34);最后,从理论上证明了这种方法给出的扰动位与Bjerhammar以△g~*为基本元素,用Stokes-Pizzeti积分表示的扰动位相等价,即本文给出的解与Bjerhammar解等效地描述外部重力场.不过,本文的方法更适合于实用,尤其是可使外部重力分量的计算尽量简化。
In this paper, we first prove that the virtual field satisfies the Stokes relationship. In other words, according to the characteristics of the Poisson nucleus, the corresponding virtual values T ~ * of the Bjerhammar sphere obtained from the known ground values T and △ g of disturbance sites and gravity anomalies and △ g ~ * obeys the classical Stokes integral formula (19). Secondly, the Bjerhammar spherical monolayer is constructed with T ~ * and △ g ~ * as the basic elements. Finally, it is theoretically proved that this method gives Bjerhammar and Bjerhammar to △ g ~ * as the basic elements, with Stokes-Pizzeti integral expressed perturbation bit equivalent, that is, the solution given in this paper and Bjerhammar solution equivalent to describe the external gravity field. However, the method of this article is more Suitable for practical, especially to make the calculation of the external gravity component as simple as possible.