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本文给出了二个残球壳的引力公式。将这两个公式用于重力测量中中间层改正和地形改正,并将改正结果与以往常用的无限和有限平板公式的相应计算结果进行了对比。对比结果表明,过去所用的平板改正公式因其模型不完善所引起的误差在许多情况下是不可忽略的。作者还利用残球壳模型论述了地形改正值可以变符号的原因。鉴于当令微型计算机已相当普及,作者建议应该采用残球壳模型进行中间层改正和全球地形改正。
In this paper, the gravitational formulas of two residual spherical shells are given. The two formulas are used for middle layer correction and topography correction in gravimetry, and the correction results are compared with the corresponding calculation results of the infinitesimal and finite slab formulas commonly used in the past. The comparison results show that in the past, the error caused by the imperfect model of plate correction formula can not be neglected in many cases. The author also uses the residual ball shell model to discuss the reason why the terrain correction value can change sign. Given the popularity of microcomputers, the authors suggest that the residual shell model should be used for intermediate layer correction and global topographic correction.