An improved energy balance approach and its application in CHAMP gravity field recovery

Geo-spatial Information Science - Tập 11 - Trang 168-173 - 2008
Tianhe Xu1, Kaifei He
1Xi’an Research Institute of Surveying and Mapping, Xi’an, China

Tóm tắt

An efficient method for gravity field determination from CHAMP orbits and accelerometer data is referred to as the energy balance approach. A new CHAMP gravity field recovery strategy based on the improved energy balance approach is developed in this paper. The method simultaneously solves the spherical harmonic coefficients, daily integration constant, scale and bias parameters. Two 60 degree and order gravitational potential models, XISM-CHAMP01S from the classical energy balance approach, and XISM-CHAMP02S from the improved energy balance, are determined using about one year’s worth of CHAMP kinematic orbits from TUM and accelerometer data from GFZ. Comparisons among XISM-CHAMP01S, XISM-CHAMP02S, EIGEN-CG03C, EIGEN-CHAMP03S, EIGEN2, ENIGN1S and EGM96 are made. The results show that the XISM-CHAMP02S model is more accurate than EGM96, EIGEN1S, EIGEN2 and XISM-CHAMP01S at the same degree and order, and has almost the same accuracy as EIGEN-CHAMP03S.

Tài liệu tham khảo

Hwang C (2001) Gravity recovery using COSMIC GPS data: application of orbital perturbation theory[J]. Journal of Geodesy, 75: 117–136 Shen Yunzhong (2000) Study of recovering gravitational potential model from the ephemerides of CHAMP [D]. Wuhan: Institute of Geodesy and Geophysics Chinese Academy of Sciences (in Chinese) Reubelt T, Austen G, Grafarend E W (2003) Harmonic analysis of the earth’s gravitational field by means of semi-continuous ephemeris of a low earth orbiting GPS-tracked satellite, case study: CHAMP[J]. Journal of Geodesy, 77: 257–278 Xu Tianhe (2004) Gravity field recovery from orbit and accelerometer data[D]. Zhengzhou: Institute of Surveying and Mapping, Information Engineering University (in Chinese) Zhou Xuhua (2005) Study of satellite gravity and its application [D]. Wuhan: Institute of Geodesy and Geophysics, Chinese Academy of Sciences (in Chinese) Visser P N A M, Sneeuw N, Gerlach C (2003) Energy integral method for gravity field determination from satellite orbit coordinates[J]. Journal of Geodesy, 77: 207–216 Han S C, Jekeli C, Shum C K (2002) Efficient gravity field recovery using in situ disturbing potential observables from CHAMP[J]. Geophys Res Letters, 29(6): 1 789–1 794 Howe E, Stensengt L, Tscherning C C (2003) Analysis of one month of CHAMP state vector and accelerometer data for the recovery of the gravity potential[J]. Advances in Geosciences, 1: 1–4 Gerlach C, Sneeuw N, Visser P, Svehla D (2003) CHAMP field recovery using the energy balance approach[J]. Advances in Geosciences, 1: 73–80 Gerlach C, Foldvary L, Svehla D, et al. (2003) A CHAMP-only gravity field model from kinematic orbit using the energy integral[J]. Geophysical Research Letters, 30(20):2 037–2 041 Xu Tianhe, Yang Yuanxi (2005) CHAMP gravity field recovery using kinematic orbits[J]. Chinese J Geophys, 48(2): 288–293 (in Chinese) Wang Zhengtao (2005). Theory and methodology of earth gravity field recovery by satellite-to-satellite tracking data[D]. Wuhan: Wuhan University (in Chinese) Howe E (2005). CHAMP satellite gravity field determination by collocation[D]. Copenhagen: The University of Copenhagen Xu Tianhe, Yang Yuanxi (2004) Calibration for CHAMP accelerometry data based on known Earth gravity field model[J]. Acta Geodaetical et Cartographica Sinica, 33(3): 200–204 (in Chinese) Xu Tianhe, Yang Yuanxi (2005) Calibration for CHAMP accelerometer data based on crossover points of the satellite[ J]. Geo-spatial Information Science, 8(3): 214–219 Förste C, Flechtner F, Schmidt R, et al. (2005) A new high resolution global gravity field model derived from combination of GRACE and CHAMP mission and altimetry/gravimetry surface gravity data [C]. EGU General Assembly 2005, Vienna, Austria