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秩亏自由网平差及其通解
引用本文:赵超英,黄观文.秩亏自由网平差及其通解[J].地球科学与环境学报,2010,32(2):215-217.
作者姓名:赵超英  黄观文
作者单位:长安大学,地质工程与测绘学院,陕西,西安,710054
基金项目:国家自然科学基金项目 
摘    要:通过坐标转换将初始坐标系下的特解转换得到任意坐标系下的通解,研究了秩亏自由网基准转换的实质。结果表明,秩亏自由网平差最优解实质是基于近似值所确定的基准下的最优解,在实际应用中确定合适的基准是关键。以西安地区GPS沉降监测网为例,不同基准下秩亏解均为该基准下最优解,但只有顾及板块运动的基准才具有物理意义。

关 键 词:秩亏  自由网平差  基准条件  坐标系  通解

Rank Defect Free Net Adjustment and Its General Solution
ZHAO Chao-ying,HUANG Guan-wen.Rank Defect Free Net Adjustment and Its General Solution[J].Journal of Earth Sciences and Environment,2010,32(2):215-217.
Authors:ZHAO Chao-ying  HUANG Guan-wen
Institution:ZHAO Chao-ying,HUANG Guan-wen(School of Geological Engineering and Surveying,Chang'an University,Xi'an 710054,Shaanxi,China)
Abstract:Through transforming the particular solution of initial coordinates to the general solution of arbitrary coordinate,rank defect free net adjustment is analyzed,and the essence of the datum transformation is discussed.The results show that the optimized solution of rank defect free net adjustment is the one solution under the datum which is calculated by the approximation value.In practice,the key problem is to determine the appropriate datum.GPS monitoring network in Xi'an is taken as an example to demonstr...
Keywords:rank defect  free net adjustment  datum condition  coordinate system  general solution  
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