厘米级高程异常地形影响的算法及特征分析

从厘米级精度要求出发,通过进一步分解Molodensky级数解,推导出高程异常地形影响项的算法公式,初步分析这些地形影响项的精细特征,推荐一套适合厘米级似大地水准面精化的Molodensky解实用简便的算法公式,结合实例测试验证了厘米级地形影响的技术特征。文章指出,在我国丘陵与山区,要使似大地水准面达到厘米级精度,必须顾及Molodensky二阶项的影响;在我国西部、西南某些大倾角地形地区,由于线性Molodensky级数解不收敛,采用线性Molodensky算法计算高程异常的地形影响难以保证似大地水准面精度达到厘米级,发展合适的似大地水准面精化理论是大倾角地形山区厘米级大地水准面对局部重力场逼近技术提出的理论要求。

Arithmetic and Characters Analysis of Terrain Effects for CM-order Precision Height Anomaly

On the basis of demand of cm-order precision quasi-geoid,first,this paper derives arithmetic formula of terrain effect of height anomaly,through farther decomposition Molodensky series solution.Then,this paper presents a suit of simple and applicable formula of Molodensky series solution for cm-order precision quasi-geoid,based on analysis of refined characters of terrain effects item,and which are test using instance.Last,author indicates that we must take into account of 2~(nd)-order Molodensky series solution in order to get cm-order precision quasi-geoid in hill and mountain zones of china.It is very difficult to ensure cm-order precision using linear Molodensky arithmetic, in great terrain obliquity zones of western or southwester China.So more appropriate theory is demanded for determination of cm-order precision geoid.