重力数据误差对大地水准面模型建立的影响

基于Stokes理论建立的大地水准面模型，其精度受重力数据误差，即重力数据分辨率、精度以及积分范围的影响。针对这一问题，通过重力场谱特征分析，给出不同地形区域重力数据分辨率以及积分半径造成的大地水准面高频截断误差的量级大小，计算平均重力异常误差对大地水准面建模精度的影响。研究成果对不同地形区域cm级大地水准面模型的建立具有理论与指导意义。

Effect of Error of Gravity Data on Geoid Determination

Determining accurate regional geoid with Stokes theory can be affected by gravity data errors, such as resolution of gravity, precision of mean gravity and integral radius. In order to solve this problem, the magnitude of truncation errors of geoids in different terrain areas, which are caused by gravity resolution and integral radius, are given based on the analysis of characteristics of the gravity frequency spectrum. Also, the effect of error of mean gravity anomalies on geoid construction is calculated. Therefore, the results put forward in this paper contain great theoretical value for centimeter geiod calculation in different terrain areas.