Approach for Determining Satellite Gravity Model from GOCE Gravitational Gradient Tensor Invariant Observations

LI Jiancheng; XU Xinyu; ZHAO Yongqi; WAN Xiaoyun

doi:10.13203/j.whugis20150554

Volume 41 Issue 1

Jan. 2016

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Geomatics and Information Science of Wuhan University > 2016 > 41(1): 21-26. > DOI: 10.13203/j.whugis20150554

LI Jiancheng, XU Xinyu, ZHAO Yongqi, WAN Xiaoyun. Approach for Determining Satellite Gravity Model from GOCE Gravitational Gradient Tensor Invariant Observations[J]. Geomatics and Information Science of Wuhan University, 2016, 41(1): 21-26. DOI: 10.13203/j.whugis20150554

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Approach for Determining Satellite Gravity Model from GOCE Gravitational Gradient Tensor Invariant Observations

1.
School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
2.
Key Laboratory of Geospace Environment and Geodesy Ministry of Education, Wuhan University, Wuhan 430079, China;
3.
Qian Xuesen Laboratory of Space Technology, Beijing 100094, China

Funds: The National 973 Program of China, No. 2013CB733301; the National 863 Program of China, No. 2013AA122502; the National Natural Science Foundation of China, Nos. 41210006, 41574019 and 41374022.

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Received Date: September 11, 2015
Published Date: January 04, 2016

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Abstract

A semi-analytical (SA) approach is proposed to recover a gravity field model from the GOCE tensor invariant observations. The SA approach is more efficient than the least-squares method, and could provide the posterior variance of estimated coefficients. The formulas for gravity field model determination from tensor invariant observations based on SA approach were derived and a corresponding procedure for estimation of the satellite gravity model from satellite gravity gradient observations are described. Testing results from the simulated error free observations along the circular orbit with the inclination 89.5° show that applying the SA approach to process tensor invariant observations is theoretically rigorous. Using the simulated observations with or without errors in gradiometer reference frame (GRF) along the one repeat cycle GOCE real orbit, we recovered the gravity field models from the I₂ and V_zz components respectively. Numerical analysis results show that the solution from I₂ was slightly better than the one from V_zz component, which verified the feasibility of the method.
- semi-analytical,
- GOCE,
- tensor invariant,
- gravity field

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Approach for Determining Satellite Gravity Model from GOCE Gravitational Gradient Tensor Invariant Observations

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