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Molodensky-Poisson???????????????????????????
引用本文:荣敏,周巍,翟振和.Molodensky-Poisson???????????????????????????[J].大地测量与地球动力学,2015,35(2):312-317.
作者姓名:荣敏  周巍  翟振和
作者单位:1〓信息工程大学地理空间信息学院, 郑州市科学大道62号,450001
2〓西安测绘研究所,西安市雁塔路中段1号,710054
3〓西安测绘信息技术总站,西安市西影路36号,710054
基金项目:国家自然科学基金(41174018|41304022)
摘    要:???????Poisson???????Molodensky-Poisson?????????????????????Ч??????????????????????????????ε??????????????Molodensky-Poisson?????????????????????????????????3 km???????????0.5°?????????????1 mGal??????|????????1°????????????10 μGal???????????????1 cm??????????????

关 键 词:Molodensky-Poisson?????  ??????  ??????????λ???  
收稿时间:2014-03-29

Analyze the Molodensky-Poisson Kernel in the Downward-Continuation of the Gravity Anomalies
RONG Min,ZHOU Wei,ZHAI Zhenhe.Analyze the Molodensky-Poisson Kernel in the Downward-Continuation of the Gravity Anomalies[J].Journal of Geodesy and Geodynamics,2015,35(2):312-317.
Authors:RONG Min  ZHOU Wei  ZHAI Zhenhe
Institution:1〓Institute of Geospatial Information,Information Engineering University, 62 Kexue Road, Zhengzhou 450001, China
2〓Xi’an Research Institute of Surveying and Mapping,1 Mid-Yanta Road, Xi’an 710054, China
3〓Xi’an Division of Surveying and Mapping,36 Xiying Road, Xi’an,710054,China
Abstract:This paper attempts to achieve accurate results for the downward-continuation. In the paper the detailed characters of the standard Poisson kernel and the Molodensky-Poisson kernel are analyzed. The truncation error of the far-zone contribution is estimated. The relations of the height, the truncation radius and degree are analyzed in the downward-continuation of the gravity anomalies. The results suggest that the Molodensky-Poisson kernel can reduce the far-zone contribution. The height is less than 3 km and the truncation radius is more than 0.5°. The truncation error estimated at less than 1 mGal| when the truncation radius reaches 1°, the truncation error estimate achieves an accuracy of 10 μGal. Hence it ensures the accuracy of the geoid reach to the 1 cm level.
Keywords:Molodensky-Poisson kernel  truncation error  potential coefficient of the gravity field model
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