Abstract
The very first precise geometric (i.e., kinematic) orbit determination of a LEO satellite was presented in Švehla and Rothacher (2002), where for the first time double-difference ambiguity resolution was demonstrated using the CHAMP satellite in LEO orbit and the ground IGS network. In Švehla and Rothacher (2003a, b) and later in Švehla and Rothacher (2005a, b) geometric precise orbit determination (POD) was demonstrated to cm-level accuracy and presented as an established technique and as very attractive for gravity field determination. Here we give a chronological overview of the development of the method.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Altamimi Z, Collilieux X, Métivier L (2011) J Geod 85:457. https://doi.org/10.1007/s00190-011-0444-4
Bauersima I (1983) NAVSTAR global positioning system (GPS) I. Berne, Switzerland
Baur O (2013) Greenland mass variation from time-variable gravity in the absence of GRACE. Geophys Res Lett 40:4289–4293. https://doi.org/10.1002/grl.50881
Baur O, Bock H, Ditmar P et al (2013) Comparison of GOCE-GPS gravity fields derived by different approaches. EGU 2013, Vienna, Austria
Baur O, Grafarend EW (2006) High-performance GOCE gravity field recovery from gravity gradient tensor invariants and kinematic orbit information. In: Flury J, Rummel R, Reigber C et al (eds) Observation of the earth system from space. Springer, Heidelberg, pp 239–253
Beutler G (1977) Integrale Auswertung von Satellitenbeobachtungen. SGK, Band 33, Zurich, Schwitzerland
Bock H (2003) Efficient Methods for Determining Precise Orbits of Low Earth Orbiters Using the Global Positioning System. PhD Thesis, Universität Bern, Schwitzerland
Bock H, Jäggi A, Meyer U et al (2011) GPS-derived orbits for the GOCE satellite. J Geod. https://doi.org/10.1007/s00190-011-0484-9
Bock H, Jäggi A, Svehla D, Beutler G, Hugentobler U, Visser P (2007) Precise orbit determination for the GOCE satellite using GPS. Adv Space Res 39(10):1638–1647. https://doi.org/10.1016/j.asr.2007.02.053,2007
Bock H, Jäggi A, Beutler G, Meyer U (2014) GOCE: precise orbit determination for the entire mission. J Geod 1–14. https://doi.org/10.1007/s00190-014-0742-8
Byun SH (2003) Satellite orbit determination using triple-differene GPS carrier phase in pure kinematic mode. J. Geodesy 76:569–585
Colombo OL (1986) Ephemeris errors of GPS satellites. Bull Géodésique 60:64–84. https://doi.org/10.1007/BF02519355
Ditmar P, Kuznetsov V, van der Sluijs A et al (2006) “DEOS_CHAMP-01C_70”: a model of the Earth’s gravity field computed from accelerations of the CHAMP satellite. J Geodesy 79:586–601. https://doi.org/10.1007/s00190-005-0008-6
Dow JM, Neilan RE, Gendt G (2005) The international GPS service: celebrating the 10th anniversary and looking to the next decade. Adv Space Res 36:320–326. https://doi.org/10.1016/j.asr.2005.05.125
Fengler MJ, Freeden W, Michel V (2004) The Kaiserslautern multiscale geopotential model SWITCH-03 from orbit perturbations of the satellite CHAMP and its comparison to the models EGM96, UCPH2002_02_0.5, EIGEN-1s and EIGEN-2. Geophys J Int 157:499–514. https://doi.org/10.1111/j.1365-246X.2004.02209.x
Földváry L, Svehla D, Gerlach C, Wermuth M, Gruber T, Rummel R, Rothacher M, Frommknecht B, Peters T, Steigenberger P (2005) Gravity model TUM-2Sp based on the energy balance approach and kinematic CHAMP orbits. In: Earth observation with CHAMP, Results from three years in orbit. Springer, doi: https://doi.org/10.1007/3-540-26800-6_2
Gerlach C, Sneeuw N, Visser P, Svehla D (2003) CHAMP gravity field recovery using the energy balance approach. Adv Geosci 1: 73–80, ISSN 1680-7340, https://doi.org/10.5194/adgeo-1-73-2003
Gerlach C, Sneeuw N, Visser P, Svehla D (2003) CHAMP gravity field recovery with the energy balance approach: first results. In: Reigber C, Lühr H, Schwintzer P (eds) First CHAMP mission results for gravity, magnetic and atmospheric studies, pp 134–139, https://doi.org/10.1007/978-3-540-38366-6_20
Hugentobler U (2012) The development of the IGS in 2011 the governing board’s perspective. IGS Technical Report 2011, pp 3–10, IGS Central Bureau, Jet Propulsion Laboratory
Hugentobler U, Gruber T, Steigenberger P, Angermann D, Bouman J, Gerstl M, Richter B (2012) GGOS Bureau for Standards and Conventions: Integrated standards and conventions for geodesy. In: Kenyon SC, Pacino MC, Marti UJ (eds) Geodesy for planet earth, IAG symposia, vol 136, pp 995–998. Springer, https://doi.org/10.1007/978-3-642-20338-1_124
Hwang C, Tseng TP, Lin T, Svehla D, Schreiner B (2009) Precise orbit determination for the FORMOSAT-3/COSMIC satellite mission using GPS. J Geodesy 83(5): 477–489. Springer, ISSN 0949-7714, https://doi.org/10.1007/s00190-008-0256-3
Hwang C, Tseng TP, Lin TJ, Svehla D, Hugentobler U, Chao B (2010) Quality assessment of FORMOSAT-3/COSMIC and GRACE GPS observables: analysis of multipath, ionospheric delay and phase residual in orbit determination. GPS Solutions 14(1):121–131. https://doi.org/10.1007/s10291-009-0145-0,2010
Jäggi A, Bock H, Prange L et al (2011) GPS-only gravity field recovery with GOCE, CHAMP, and GRACE. Adv Space Res 47:1020–1028. https://doi.org/10.1016/j.asr.2010.11.008
Jäggi A, Hugentobler U, Beutler G (2006) Pseudo-stochastic orbit modeling techniques for low-earth orbiters. J Geodesy 80:47–60. https://doi.org/10.1007/s00190-006-0029-9
Kaula WM (1966) Theory of satellite geodesy: applications of satellites to geodesy. Blaisdell Publishing Company, Waltham, Massachusettss
Mayer-Gürr T, Eicker A, Kurtenbach E, Ilk K-H (2010) ITG-GRACE: global static and temporal gravity field models from GRACE data. In: Flechtner FM, Gruber T, Güntner A et al (eds) System earth via geodetic-geophysical space techniques. Springer, Heidelberg, pp 159–168
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 Geodesy 78:462–480. https://doi.org/10.1007/s00190-004-0413-2
Pail R, Bruinsma S, Migliaccio F et al (2011) First GOCE gravity field models derived by three different approaches. J Geod 85:819–843. https://doi.org/10.1007/s00190-011-0467-x
Pail R, Goiginger H, Schuh WD, et al (2010) Combined satellite gravity field model GOCO01S derived from GOCE and GRACE. Geophys Res Lett 37:1–5, L20314. https://doi.org/10.1029/2010gl044906
Ray J (2002) C1/P1 biases for Leica and Trimble 5700 receivers
Reubelt T, Götzelmann M, Grafarend E (2006) Harmonic analysis of the earth’s gravitational field from kinematic CHAMP orbits based on numerically derived satellite accelerations. In: Observation of the earth system from space, pp 27–42
Rothacher M, Schmid R, Steigenberger P, Svehla D, Thaller D (2004) Combination of the space-geodetic techniques for monitoring the Earth’s system. In: EOS Transactions AGU, Fall Meeting Supplement, Abstract G22A-01, vol 85, Nr 47, AGU
Rummel R, Bosch W, Drewes H (2000) Towards an integrated global geodetic observing system (IGGOS). In: International association of geodesy symposia, vol 120. Springer, Heidelberg, https://doi.org/10.1007/978-3-642-59745-9
Rummel R, Yi W, Stummer C (2011) GOCE gravitational gradiometry. J Geod 85:777–790. https://doi.org/10.1007/s00190-011-0500-0
Schaer S (1999) Mapping and predicting the earth’s ionosphere using Global Positioning System. Schweizerische Geodätische Kommission
Schmidt M, Kusche J, Loon JP, et al (2005) Multiresolution representation of a regional geoid from satellite and terrestrial gravity data. In: Gravity, geoid and space missions, pp 167–172
Steigenberger P, Rothacher M, Dietrich R et al (2006) Reprocessing of a global GPS network. J Geophys Res 111:B05402. https://doi.org/10.1029/2005JB003747
Sneeuw N, Gerlach C, Svehla D, Gruber C (2003) A first attempt at time variable gravity recovery from CHAMP using the energy balance approach. In: Gravity and geoid: proceedings of 3rd meeting of the international gravity and geoid commission, Thessaloniki, 2002. ZITI-Publishing, pp 237–242
Sneeuw N, Gerlach C, Földváry L, Gruber T, Peters T, Rummel R, Svehla D (2005) One year of time-variable CHAMP-only gravity field models using kinematic orbits. In: Sansò F, (eds) A window on the future of geodesy, IAG Symposia, vol 128, pp 288–293, https://doi.org/10.1007/3-540-27432-4_49
Švehla D, Rothacher M (2002) Kinematic orbit determination of LEOs based on zero– or double–difference algorithms using simulated and real SST data. In: Vistas for geodesy in the new millenium. International association of geodesy symposia, vol 125. Springer, Heidelberg, pp 322–328, https://doi.org/10.1007/978-3-662-04709-5_53
Švehla D, Rothacher M (2003a) CHAMP double–difference kinematic POD with ambiguity resolution. In: First CHAMP mission results for gravity, magnetic and atmospheric studies. Springer-Verlag, Potsdam, pp 70–77, https://doi.org/10.1007/978-3-540-38366-6_11
Švehla D, Rothacher M (2003b) Kinematic and reduced-dynamic precise orbit determination of low Earth orbiters. Adv. Geosci. 1:47–56. https://doi.org/10.5194/adgeo-1-47-2003
Švehla D, Rothacher M (2004a) Two years of CHAMP kinematic orbits for geosciences. European geosciences union, 1st general assembly, 25–30 April 2004, Nice, France. Geophysical Research Abstracts, European Geophysical Society, vol 6. ISSN:1029–7006
Švehla D, Rothacher M (2005a) Kinematic positioning of LEO and GPS satellites and IGS stations on the ground. Adv Space Res 36:376–381. https://doi.org/10.1016/j.asr.2005.04.066
Švehla D, Rothacher M (2005b) Kinematic precise orbit determination for gravity field determination. In: A window on the future of geodesy. International association of geodesy symposia, vol 128. Springer, Heidelberg, pp 181–188, https://doi.org/10.1007/3-540-27432-4_32
Teunissen PJG (2001) The probability distribution of the ambiguity bootstrapped GNSS baseline. J Geodesy 75:267–275. https://doi.org/10.1007/s001900100172
Tseng Tzu-Pang, Hwang Ch, Yang SK (2012) Assessing attitude error of FORMOSAT-3/COSMIC satellites and its impact on orbit determination. Adv Space Res 49(9):1301–1312. https://doi.org/10.1016/j.asr.2012.02.007
van den Ijssel J, Visser P, Patino Rodriguez E (2003) Champ precise orbit determination using GPS data. Adv Space Res 31:1889–1895. https://doi.org/10.1016/S0273-1177(03)00161-3
Visser P, van den Ijssel J, van Helleputte T, Bock H, Jäggi A, Beutler G, Svehla D, Hugentobler U, Heinze, M (2009) Orbit determination for the GOCE satellite. Adv Space Res 43(5): 760–768. Elsevier, ISSN 0273-1177, https://doi.org/10.1016/j.asr.2008.09.016
Visser P, van den Ijssel J, van Helleputte T, Bock H, Jäggi A, Beutler G, Hugentobler U, Svehla D (2007) Rapid and precise orbit determination for the GOCE satellite. In: proceedings of the 3rd international GOCE user workshop, ESA SP-627, pp 235–239, ISBN (Print) 92-9092-938-3, ISSN 1609-042X, 2007
Wermuth M, Gerlach C, Svehla D, Földváry L (2004) Comparison of different gravity field solution methods applied to CHAMP gravity field modelling. In: Proceedings of the 1st international workshop on gravity field research, Österreichische Beiträge zu Meteorologie und Geophysik, Heft 31, pp 45–50, Zentralanstalt für Meteorologie und Geodynamik (ZAMG), ISSN 1016-6254
Williams J, Lightsey EG, Yoon SP, Schutz BE (2002) Testing of the ICESat BlackJack GPS Receiver Engineering Model
Yunck T, Bertiger W, Wu S et al (1994) First assessment of GPS-based reduced dynamic orbit determination on TOPEX/POSEIDON. Geophys Res Lett 21:541–544
Zehentner N, Mayer-Gürr T (2015) Mitigation of ionospheric scintillation effects in kinematic LEO precise orbit determination. In: Geophysical research abstracts, Vienna, EGU2015-10477–1
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Svehla, D. (2018). The First Geometric POD of LEO Satellites—A Piece of History. In: Geometrical Theory of Satellite Orbits and Gravity Field . Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-76873-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-76873-1_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-76872-4
Online ISBN: 978-3-319-76873-1
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)