Abstract
The German CHAlleging Minisatellite Payload (CHAMP) was launched in July 2000. It is the first satellite that provides us with position and accelerometer measurements, with which the gravity field model can be determined. One of the most popular methods for geopotential recovery using the position and accelerometer measurements of CHAMP is the energy conservation method. The main aim of this paper is to determine the scale and bias parameters of CHAMP accelerometer data using the energy conservation method. The basic principle and mathematical model using the crossover points of CHAMP orbit to calibrate the accelerometer data are given based on the energy balance method. The rigorous integral formula as well as its discete form of the observational equation is presented. This method can be used to estimate only one of the scale and bias parameters or both of them. In order to control the influence of outliers, the robust estimator for the calibration parameters is given. The results of the numerical computations and comparisons using the CHAMP accelerometer data show the validity of the method.
Similar content being viewed by others
References
Förste C (2002). CHAMP accelerometer data preprocessing-level-2 data generation at GFZ potsdam. The 1st CHAMP International Science Meeting, Potsdam.
Visser P, van den Ijssel J (2003) Verification of CHAMP accelerometer observations.Advances in Space Research, 31(8): 1905–1910
Visser P, Sneeuw N, Gerlanch C (2003) Energy integral method for gravity field determination from satellite oribit coordinates.Journal of Geodesy, 77: 207–216
Gerlanch C, Sneeuw N, Visser P, et al. (2002) CHAMP gravity field recovery with the energy balance approach: first results. The 1st CHAMP international Science Meeting, Potsdam.
Han S C, Jeleli C, Shum C K (2002) Efficient gravity field recovery using in situ disturbing potential observables from CHAMP.Geophys. Res. Letters, 29(16): 1789–1794
Howe E, Tscherning C C (2002) Preliminary analysis of CHAMP state vector and accelerometer data for the recovery of the gravity potential. The 1st CHAMP International Science Meeting, Potsdam.
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.Advances in Geosciences, (1):1–4
O'Keefe J A (1957) An application of Jacobi's integral to the motion of an earth satellite.The Astronomical Journal, 62(1 252):265–266
Bjerhamma A (1967). On the energy integral for satellites. Technical Report, The Royal Institute of Technology, Stockholm.
Jekeli C (1999) The determination of gravitational potential differences from satellite-to-satellite tracking.Celestial Mechanics and Dynamical Astronomy, 75:85–101
Yang Y (1993). Robust estimation and its applications. Beijing: Bayi Pulishing House. (in Chinese)
Yang Y, Song L, Xu T (2002) Robust estimator for correlated observations based on bifactor equivalent weights.Journal of Geodesy, 76(6/7):353–358
Yang Y, Cheng M K, Shum C K, et al. (1999) Robust estimation of systematic errors of satellite laser range.Journal of Geodesy, 73:345–349
Author information
Authors and Affiliations
Additional information
Founded by the Natural Science Foundation of China (No. 49825107, No. 40274008 and No. 40474001).
About this article
Cite this article
Tianhe, X., Yuanxi, Y. Calibration for CHAMP accelerometer data based on crossover points of the satellite. Geo-spat. Inf. Sci. 8, 214–219 (2005). https://doi.org/10.1007/BF02826824
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02826824