Optimization Method for Computing Radial Gravity Gradient Using Gravity Gradient Observations

  • MENG Xiangchao ,
  • WAN Xiaoyun ,
  • YU Jinhai ,
  • ZHU Yongchao ,
  • FENG Wei
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  • 1. Key Laboratory of Computational Geodynamics, Chinese Academy of Sciences, Beijing 100049, China;
    2. Qian Xuesen Laboratory of Space Technology, Beijing 100094, China;
    3. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China;
    4. Beijing Satellite Navigation Center, Beijing 100049, China

Received date: 2016-01-13

  Revised date: 2016-04-15

  Online published: 2016-07-28

Supported by

The National Natural Science Foundation of China(Nos.41404019;41274034);The National High-tech Research and Development Program of China(863 Program)(No.2013AA122502-2);The Open Fund of State Key Laboratory of Geodesy and Earth's Dynamics(No.SKLGED2014-3-5-E)

Abstract

This paper proposes an optimization method for computing the radial gravity gradient by using GOCE gradient measurements, based on the variance-covariance information of gradient observations. The approach for computing the gravity gradient and the error propagation are firstly discussed; and then by solving a conditional extremum problem, we can get an optimal combination factor which can improve the calculation accuracy for the radial gravity gradient. The advantage of the combination factor is validated by simulation data. In actual data processing, the geoid accuracy truncated to degree 250 can be improved by 2 cm by using the optimization method. The radial gravity gradient can not only be used in recovering a gravity field model, but also can be used in kinds of geophysical interpretation, so the method provided in the paper can be helpful in the related researches.

Cite this article

MENG Xiangchao , WAN Xiaoyun , YU Jinhai , ZHU Yongchao , FENG Wei . Optimization Method for Computing Radial Gravity Gradient Using Gravity Gradient Observations[J]. Acta Geodaetica et Cartographica Sinica, 2016 , 45(7) : 775 -781 . DOI: 10.11947/j.AGCS.2016.20160007

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