Analyze the Molodensky-Poisson Kernel in the Downward-Continuation of
the Gravity Anomalies
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.
RONG Min,ZHOU Wei,ZHAI Zhenhe. Analyze the Molodensky-Poisson Kernel in the Downward-Continuation of
the Gravity Anomalies[J]. jgg, 2015, 35(2): 312-317.
RONG Min,ZHOU Wei,ZHAI Zhenhe. Analyze the Molodensky-Poisson Kernel in the Downward-Continuation of
the Gravity Anomalies[J]. jgg, 2015, 35(2): 312-317.
