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本文提出一种引力场表示理论,用Newton位算子将地球内、外扰动引力场统一。为此,先对Newton位算子作可逆性分析,得出结论:该算子之零空间的正交补D_g中的连续函数于地球内部空间处处调和;其次认定地球内部异常质量密度为D_g中的连续函数,提出一类新的重力学边值问题——扰动位重调和Dirichlet内问题;继而借助于被证明的重调和函数表示定理,扰动场被简化为两个调和场的拟线性叠加;最后给出全空间扰动位统一表示程式AL,其中L为地面数据异常密度,A为异常密度扰动位。
In this paper, a theory of gravitational field representation is proposed, which uses the Newton operator to unify perturbed gravitational fields inside and outside the Earth. For this reason, we first make a reversible analysis of Newton’s bit operator, and come to the conclusion that the continuous function in the orthogonal complement of Dg in the zero space of the operator is reconciled with the interior space of the earth; secondly, the abnormal mass density in the earth is D_g , We propose a new class of gravitation boundary value problem - disturbing bit reharmonic Dirichlet problem. Then with the help of the proven reorientation function representation theorem, the perturbed field is reduced to a quasi-linear superposition of two harmonic fields. Finally, the program AL is given as a unified expression of the whole space perturbation, where L is the anomaly density of terrestrial data and A is the anomaly density perturbation bit.