摘要
由于自由网平差模型秩亏,法方程存在无穷多组解。从测量角度来看,就是网的绝对位置无法确定,网形浮动。为了解决这一问题,引入了基准(参考系)来固定测量网。也就是说,给定基准条件的同时也就给定了坐标系。那么基准条件中必然包含定义坐标系的信息。推导出一种法方程的通解,给出了由基准定义相应坐标系的相关公式,通过算例验证了基准和坐标系之间的关系。
Because the free net adjustment model is rank-defect, the normal equation derived with the KS method has an infinite number of solutions. Geodetically, the configuration of geodetic network can not be fixed. In order to obtain a unique configuration of geodetic network, some datum conditions should be introduced into. In other words, coordinate system will be determined if datum is given. Therefore datum must involve some informa- tion for defining coordinate system. Three kinds of datum conditions and a general solution in free geodetic network adjustment are presented here, and a formula about the relation between datum condition and coordinate system is test through an example.
出处
《大地测量与地球动力学》
CSCD
北大核心
2007年第2期89-93,共5页
Journal of Geodesy and Geodynamics
基金
国家自然科学基金(40674004)
关键词
自由网
基准
坐标系
内部约束阵
法方程
free network, datum condition, coordinate system, inner adjustment constraint matrix, normal equation
