ABSTRACT

Airborne vector gravimetric data have become increasingly available. A general band-limited horizontal boundary value problem using horizontal components of these vector gravimetric data is formulated and solved to compute regional geoid. The disturbing potential on the geoid is determined directly using the data in the air. This one-step approach is permitted by exploiting the following: 1) band-limited property of both the disturbing potential and the data; 2) the orthogonality of the horizontal components of the gravity vector; and 3) the additive rule of the spherical functions. Then geoidal undulations can be readily obtained according to the Bruns formula.

摘要

机载矢量重力数据变得越来越可用。使用这些矢量重力数据的水平分量来制定和解决一般的带限水平边界值问题，以计算区域大地水准面。大地水准面的干扰电位是直接使用空气中的数据确定的。通过利用以下内容允许这种一步法方法：1）干扰电位和数据的带限特性；2）重力矢量水平分量的正交性；3）球函数的加法规则。然后根据布伦斯公式可以很容易地获得大地水准面起伏。