外部引力位点质量模型分层深度的确定理论与方法  

Theory and Method for the Determination of the Layer Depth of the Point Mass Model of the External Gravity Field

作　　者：龚作平 赵东明[1] 范雕 冯进凯 GONG Zuoping;ZHAO Dongming;FAN Diao;FENG Jinkai(Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]信息工程大学,河南郑州450001

出　　处：《测绘科学技术学报》2021年第6期557-562,共6页Journal of Geomatics Science and Technology

基　　金：国家自然科学基金项目(42174008)。

摘　　要：鉴于点质量模型方法在外部扰动重力场逼近方面的重要意义,对点质量深度的选择问题进行了深入研究。首先从基于扰动重力算子特征值理论出发,建立了点质量层深度的选取准则,然后又从点质量方程求解时系数矩阵的条件数角度出发,讨论了点质量深度的选取对不同分辨率点质量求解的具体影响,从而解决了点质量求解时深度设定的问题。Due to the fact that point mass model plays an important role in the approximation of external gravity field, a deep inspection is performed on the problem of the depth selection of point mass layer. Firstly, the eigenvalue theory of the disturbing gravity operator was used in the analysis of the selection of the depth of point mass layer, and the rule of point mass layer depth selection was settled. Then, the condition number analysis was carried out during the solution of point mass equation, and the effect of different depths of point layers on the solution of point masses with relevant resolution was analyzed in detail. The depth selection problem of point mass layers is solved by the analysis.

关 键 词：点质量模型 质点层深度 扰动重力算子特征值 系数矩阵条件数 重力场逼近 

分 类 号：P223[天文地球—大地测量学与测量工程]