外部扰动重力场的频谱响应质点模型

本文提出一种新的虚拟质点建模方式，旨在实现地球外部重力场的快速精密赋值．其基本思想在于：根据内部场源与外部场的频谱响应关系，视质点系为若干子系组成，让其中每个子系具有与外部场的相应频段分量响应的谱频特性．质点系的频谱响应性质将会大大削弱通常质点模型产生的所谓且Ｒｕｎｇｅ现象：泄漏与增频，从而显著提高逼近精度．文中还详细讨论了频谱响应质点模型的原理和构制方法，并对模型精度进行了分析和估算．

FREQUENCY RESPONSE POINT MASSES MODEL OF EXTERIOR DISTURBING GRAVITY FIELD

It is our goal in this paper to develop a new model for creating fictitious point masses in order to evaluate the exterior disturbing potential fast and precisely.The main principle of this model is that based on the frequency response of interior source to the exterior disturbing potential, the group of point masses is divided into sevaral subgroups so that each of them has the spectrum characteristic responding to definite frequency component of the exterior potential.Frequency response characteristics of point masses will make the so-called Runge phenomena, divulgence and frequency increment, coming from conventional point masses model, considerably reduced so that the precision of approximating the exterior potential can be improved a lot.In the paper, the principle and constructing method of the frequency response point masses model has been discussed in detail, and finally, the precision of the model has also been analyzed and evaluated.