Abstract
The acceleration approach is an efficient and accurate tool for the estimation of the low-frequency part of GOCE (Gravity field and steady-state Ocean Circulation Explorer) gravity fields from GPS-based satellite-to-satellite tracking (SST). This approach is characterized by second-order numerical differentiation of the kinematic orbit. However, the application to GOCE-SST data, given with a 1s-sampling, showed that serious problems arise due to strong amplification of high frequency noise. In order to mitigate this problem, we developed a tailored processing strategy in a recent paper which makes use of an extended differentiation scheme acting as low-pass filter, and empirical covariance functions to account for the different precision of the components and the inter-epoch correlations caused by orbit computation and numerical differentiation. However, also a more “brute-force” strategy can be applied using the standard unextended differentiation scheme and data-weighting by error propagation of the provided orbit variance-covariance matrices (VCMs). It is shown that the direct differentiator shows a better approximation and the exploited method benefits from the stochastic information contained in the VCMs compared to the former strategy. A strong dependence on the maximum resolution, the arc-length and the method for data-weighting is observed, which requires careful selection of these parameters. By comparison with alternative GOCE hl-SST solutions we conclude that the acceleration approach is a competitive method for gravity field recovery from kinematic orbit information.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Baur O, Reubelt T, Weigelt M, Roth M, Sneeuw N (2012) GOCE orbit analysis: long wavelength gravity field determination using the acceleration approach. Adv Space Res 50(3):385–396. doi:10.1016/j.asr.2012.04.022
Bock H, Jäggi A, Meyer U et al (2011) GPS-derived orbits for the GOCE satellite. J Geod 85(11):807–818. doi:10.1007/s00190-011-0484-9
Ditmar P, Van Eck van der Sluijs A (2004) A technique for modeling the Earth’s gravity field on the basis of satellite accelerations. J Geod 78(1):12–33. doi:10.1007/s00190-003-0362-1
EGG-C (2010) GOCE level 2 product data handbook. GO-MA-HPF-GS-0110 (4.3)
ESA (1999) The four candidate earth explorer core missions – gravity field and steady-state ocean circulation mission. ESA SP-1233, 1999
Friis-Christensen E, Lühr H, Hulot G (2006) Swarm: a constellation to study the earth’s magnetic field. Earth Planets Space 58(4):351–358
Han SC, Jekeli C, Shum CK (2002) Efficient gravity field recovery using in situ disturbing potential observables from CHAMP. Geophys Res Lett 29:1789. doi:10.1029/2002GL015180
Jäggi A, Bock H, Prange L et al (2011) GPS-only gravity field recovery with GOCE, CHAMP, and GRACE. Adv Space Res 47(6):1020–1028. doi:10.1016/j.asr.2010.11.008
Löcher A (2010) Möglichkeiten der Nutzung kinematischer Satellitenbahnen zur Bestimmung des Gravitationsfeldes der Erde. Ph.D. Thesis, Rheinische Friedrich-Wilhelms-Universität zu Bonn (in German)
Mayer-Gürr T, Ilk KH, Eicker A, Feuchtinger M (2005) ITG-CHAMP01: a CHAMP gravity field model from short kinematic arcs over a one-year observation period. J Geod 78(7–8):462–480
Mayer-Gürr T, Kurtenbach E, Eicker A (2010) The satellite-only gravity field model ITG-Grace2010s. http://www.igg.uni-bonn.de/apmg/index.php?id=itg-grace2010
Pail R, Bruinsma S, Migliaccio F et al (2011) First GOCE gravity field models derived by three different approaches. J Geod 85(11):819–843. doi:10.1007/s00190-011-0467-x
Reigber C (1989) Gravity field recovery from satellite tracking data. In: Sansò F, Rummel R (eds) Theory of satellite geodesy and gravity field determination, lecture notes in earth sciences, vol 25. Springer, Berlin, pp 197–234
Reubelt T (2009) Harmonische Gravitationsfeldanalyse aus GPS-vermessenen kinematischen Bahnen niedrig fliegender Satelliten vom Typ CHAMP, GRACE und GOCE mit einem hoch aufösenden Beschleunigungsansatz, Deutsche Geodätische Kommission, C 632. Verlag der Bayerischen Akademie der Wissenschaften, Munich (in German)
Reubelt T, Austen G, Grafarend EW (2003) Harmonic analysis of the Earth’s gravitational field by means of semi-continuous ephemerides of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP. J Geod 77(5–6):257–278. doi:10.1007/s00190-003-0322-9
Reubelt T, Götzelmann M, Grafarend EW (2006) Harmonic analysis of the earth’s gravitational field from kinematic CHAMP orbits based on numerically derived satellite accelerations. In: Flury J, Rummel R, Reigber C, Rothacher M, Boedecker G, Schreiber U (eds) Observation of the earth system from space. Springer, Berlin, pp 27–42
Reubelt T, Sneeuw N, Grafarend EW (2012) Comparison of kinematic orbit analysis methods for gravity field recovery. In: Sneeuw N, Novák P, Crespi M et al (eds) VII Hotine-Marussi symposium on mathematical geodesy, IAG Symp 137:259–265. Springer, Berlin
Van Gelderen M, Koop R (1997) The use of degree variances in satellite gradiometry. J Geod 71(6):337–343. doi:10.1007/s001900050101
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Reubelt, T., Baur, O., Weigelt, M., Roth, M., Sneeuw, N. (2014). GOCE Long-Wavelength Gravity Field Recovery from 1s-Sampled Kinematic Orbits Using the Acceleration Approach. In: Marti, U. (eds) Gravity, Geoid and Height Systems. International Association of Geodesy Symposia, vol 141. Springer, Cham. https://doi.org/10.1007/978-3-319-10837-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-10837-7_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10836-0
Online ISBN: 978-3-319-10837-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)