Preprints
https://doi.org/10.5194/se-2020-201
https://doi.org/10.5194/se-2020-201
09 Feb 2021
 | 09 Feb 2021
Status: this preprint has been withdrawn by the authors.

An upward continuation method based on spherical harmonic analysis and its application in the calibration of satellite gravity gradiometry data

Qingliang Qu, Shengwen Yu, Guangbin Zhu, Xiaotao Chang, Miao Zhou, and Wei Liu

Abstract. The ground gravity anomalies can be used to calibrate and validate the satellite gravity gradiometry data. In this study, an upward continuation method of ground gravity data based on spherical harmonic analysis is proposed, which can be applied to the calibration of satellite observations from the European Space Agency's Gravity Field and Steady-State Ocean Circulation Explorer (GOCE). Here, the following process was conducted to apply this method. The accuracy of the upward continuation method based on spherical harmonic analysis was verified using simulated ground gravity anomalies. The DTU13 global gravity anomaly data were used to determine the calibration parameters of the GOCE gravitational gradients based on the spherical harmonic analysis method. The trace and the tensor invariants I2, I3 of the gravitational gradients were used to verify the calibration results. The results revealed that the upward continuation errors based on spherical harmonic analysis were much smaller than the noise level in the measurement bandwidth of the GOCE gravity gradiometer. The scale factors of the Vxx, Vyy, Vzz, and Vyz components were determined at an order of magnitude of approximately 10−2, the Vxz component was approximately 10−3, and the Vxy component was approximately 10−1. The traces of gravitational gradients after calibration were improved when compared with the traces before calibration and were slightly better than the EGG_TRF_2 data released by the European Space Agency (ESA). In addition, the relative errors of the tensor invariants I2, I3 of the gravitational gradients after calibration were significantly better than those before calibration. In conclusion, the upward continuation method based on spherical harmonic analysis could meet the external calibration accuracy requirements of the gradiometer.

This preprint has been withdrawn.

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Qingliang Qu, Shengwen Yu, Guangbin Zhu, Xiaotao Chang, Miao Zhou, and Wei Liu

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Review of the manuscript se-2020-201: "An upward continuation method based on spherical harmonic analysis and its application in the calibration of satellite gravity gradiometry data"', Anonymous Referee #1, 11 Mar 2021
  • RC2: 'Comment on se-2020-201', Anonymous Referee #2, 07 Apr 2021

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Review of the manuscript se-2020-201: "An upward continuation method based on spherical harmonic analysis and its application in the calibration of satellite gravity gradiometry data"', Anonymous Referee #1, 11 Mar 2021
  • RC2: 'Comment on se-2020-201', Anonymous Referee #2, 07 Apr 2021
Qingliang Qu, Shengwen Yu, Guangbin Zhu, Xiaotao Chang, Miao Zhou, and Wei Liu
Qingliang Qu, Shengwen Yu, Guangbin Zhu, Xiaotao Chang, Miao Zhou, and Wei Liu

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