Zusammenfassung
Die Satellitenmissionen CHAMP, GRACE und GOCE lieferten neuartige Information über das globale Schwerefeld der Erde. In diesem Beitrag werden die wichtigsten Aspekte der Modellierung des statischen Schwerefeldes aus Satellitendaten und die dabei verwendeten statistisch-numerischen Werkzeuge exemplarisch für die GOCE-Mission diskutiert. Die neue Generation von GOCE-Modellen liefert Genauigkeiten von 2–3 cm in Geoidhöhe und 0,7 mGal in Schwereanomalien bei 100 km räumlicher Wellenlänge. Noch höhere räumliche Auflösung wird durch Kombination mit terrestrischen Schwerefeldbeobachtungen erreicht.
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Literatur
Badura, T.: Gravity Field Analysis from Satellite Orbit Information applying the Energy Integral Approach. Dissertation, 109 S., Graz University of Technology. (2006)
Bingham, R.J., Knudsen, P., Andersen, O., Pail, R.: An initial estimate of the North Atlantic steady-state geostrophic circulation from GOCE. Geophys. Res. Lett. 38, EID L01606. Am. Geophys. Union (2011). doi:10.1029/2010GL045633
Bock, H., Jäggi, A., Meyer, U., Visser, P., van den IJssel, J., van, T., Helleputte, M., Heinze, Hugentobler, U.: GPS-derived orbits for the GOCE satellite. J. Geod. 85(11), 807–818 (2011). doi:10.1007/s00190-011-0484-9
Bouman, J., Rispens, S., Gruber, T., Koop, R., Schrama, E., Visser, P.N.A.M., Tscherning, C.C., Veicherts, M.: Preprocessing of gravity gradients at the GOCE high-level processing facility. J. Geod. 83(7), 659–678 (2009). doi:10.1007/s00190-008-0279-9
Braitenberg, C.: Exploration of tectonic structures with GOCE in Africa and across-continents. Int. J. Appl. Earth Obs. Geoinformation, 01/2014; (2015). doi:10.1016/j.jag.2014.01.013
Braitenberg, C., Pivetta, T., Li, Y.: The youngest generation GOCE products in unraveling the mysteries of the crust of North-Central Africa. Geophys. Res. Abs. 14, EGU2012-6022. EGU General Assembly 2012, Vienna (2012)
Brockmann, J.M., Zehentner, N., Höck, E., Pail, R., Loth, I., Mayer-Gürr, T., Schuh, W.-D.: (2014) EGM_TIM_RL05: an independent geoid with centimeter accuracy purely based on the GOCE mission. Geophys. Res. Lett., Online 25 Nov 2014. doi:10.1002/2014GL061904
Bruinsma, S.L., Doornbos, E., Bowman, B.R.: Validation of GOCE densities and evaluation of thermosphere models. Adv. Sp. Res. 08/2014, (2014a). doi:10.1016/j.asr.2014.04.008
Bruinsma, S.L., Foerste, C., Abrikosov, O., Marty, J.C., Rio, M.H., Mulet, S., Bonvalot, S.: The new ESA satellite-only gravity field model via the direct approach. Geophys. Res. Lett. 40, 3607–3612 (2013). doi:10.1002/grl.50716
Bruinsma, S.L., Foerste, C., Abrikosov, O., Lemoine, J.M., Marty, J.C., Mulet, S., Rio, M.H., Bonvalot, S.: ESA’s satellite-only gravity field model via the direct approach based on all GOCE data. Geophys. Res. Lett. 41(21), 7508–7514 (2014b). doi:10.1002/2014GL062045
Drinkwater, M.R., Floberghagen, R., Haagmans, R., Muzi, D., Popescu, A.: GOCE: ESA’s first earth explorer core mission. In: Beutler, G., Drinkwater, M.R., Rummel, R., von Steiger, R. (Hrsg.) Earth Gravity Field from Space – From Sensors to Earth Sciences. Space Sciences Series of ISSI, Bd. 17, S. 419–432. Kluwer, Dordrecht (2003). ISBN:1-4020-1408-2
Eicker, A.: Gravity field refinements by radial basis functions from in-situ satellite data. Ph.D. thesis, University of Bonn (2008)
Fecher, T., Pail, R., Gruber, T.: Global gravity field modeling based on GOCE and complementary gravity data. Int. J. Appl. Earth Obs. Geoinformation. ISSN (Online) 0303-2434 (2013). doi:10.1016/j.jag.2013.10.005
Floberghagen, R., Fehringer, M., Lamarre, D., Muzi, D., Frommknecht, B., Steiger, C., Piñeiro, J., da Costa, A.: Mission design, operation and exploitation of the gravity field and steady-state ocean circulation explorer mission. J. Geod. 85(11), 749–758 (2011). doi:10.1007/s00190-011-0498-3
Förste, C., Bruinsma, S.L., Flechtner, F., Marty, J.C., Lemoine, J.M., Dahle, C., Abrikosov, O., Neumayer, K.H., Biancale, R., Barthelmes, F., Balmino, G.: A preliminary update of the Direct approach GOCE Processing and a new release of EIGEN-6C. Presented at the AGU Fall Meeting 2012, San Francisco. Abstract No. G31B-0923. 3–7 Dec 2012
Freeden, W., Gervens, T., Schreiner, M.: Constructive Approximation on the Sphere. Clarendon Press, Oxford (1998)
Goiginger, H., Pail, R.: Investigation of velocities derived from satellite positions in the framework of the energy integral approach. In: Fletcher K et al. (Hrsg.) Proceedings 3rd International GOCE User Workshop, ESA SP-627, S. 319–324, ESA, (2007). ISBN (Print) 92-9092-938-3, ISSN: 1609-042X
Goiginger, H. und R. Pail.. Covariance propagation of latitude-dependent orbit errors within the energy integral approach. In: Mertikas SP et al (Hrsg.) Gravity, Geoid and Earth Observation, IAG Symposia, 135, S. 155–161, Springer, (2010) doi: 10.1007/978-3-642-10634-7_21.
Gruber, T., Visser, P.N.A.M., Ackermann, C., Hosse, M.: Validation of GOCE gravity fieldmodels by means of orbit residuals and geoid comparisons. J. Geod. 85(11), 845–860. Springer (2011). doi:10.1007/s00190-011-0486-7
Hirt, C., Claessens, S., Fecher, T., Kuhn, M., Pail, R., Rexer, M.: New ultra-high resolution picture of Earth’s gravity field. Geophys. Res. Lett. 2013 (2013). doi:10.1002/grl.50838
Hosse, M., Pail, R., Horwath, M., Holzrichter, N., Gutknecht, B.D.: Combined regional gravity model of the Andean convergent subduction zone and its application to crustal density modelling in active plate margins. Surv. Geophys. ol. 2014, 6, 1393–1415 (2014). doi:10.1007/s10712-014-9307-x
Ihde, J., Sacher, M.: EUREF Publication 11/I, Bd. 25. Mitteilungen des Bundesamtes für Kartographie und Geodäsie, Frankfurt/Main (2002)
Jekeli, C.: The determination of gravitational potential differences from satellite-to-satellite tracking. Celest. Mech. Dyn. Astron. 75, 85–101 (1999)
Kern, M., Preimesberger, T., Allesch, M., Pail, R., Bouman, J., Koop, R.: Outlier detection algorithms and their performance in GOCE gravity field processing. J. Geod. 78(9), 509–519. Springer (2005). doi:10.1007/s00190-004-0419-9
Knudsen, P., Bingham, R., Andersen, O., Rio, M.-H.: A global mean dynamic topography and ocean circulation estimation using a preliminary GOCE gravity model. J. Geod. 85(11), 861–879 (2011). doi:10.1007/s00190-011-0485-8
Koch, K.H., Kusche, J.: Regularization of geopotential determination from satellite data by variance components. J. Geod. 76, 259–268. Springer (2002). doi:10.1007/s00190-002-0245-x
Krarup, T.: A Contribution to the Mathematical Foundation of Physical Geodesy, Bd. 44. Geodætisk Instituts Meddelelse, Copenhagen (1969)
Lemoine, F., Luthcke, S., Rowlands, D., Chinn, D., Klosko, S., Cox, C.: The use of mascons to resolve time-variable gravity from GRACE. In: Tregoning, P., et al. (Hrsg.) Dynamic Planet, S. 231–236. Springer, Berlin (2007)
Mayer-Gürr, T.: Gravitationsfeldbestimmung aus der Analyse kurzer Bahnbögen am Beispiel der Satellitenmissionen CHAMP und GRACE. Dissertation, University of Bonn (2006)
Mayer-Gürr, T., Eicker, A., Kurtenbach, E., Ilk, K.-H.: ITG-GRACE: global static and temporal gravity field models from GRACE data. In: Flechtner, F., Gruber, T., Güntner, A., Mandea, M., Rothacher, M., Schöne, T., Wickert, J. (Hrsg.) System Earth via Geodetic-Geophysical Space Techniques, S. 159–168 (2010). doi:10.1007/978-3-642-10228-8_13
Metzler, B.: Spherical cap regularization – a spatially restricted regularization method tailored to the polar gap problem. Dissertation, TU Graz (2007)
Metzler, B., Pail, R.: GOCE data processing: the spherical cap regularization approach. Stud. Geophys. Geod. 49, 441–462 (2005). doi:10.1007/s11200-005-0021-5
Migliaccio, F., Reguzzoni, M., Sansò, F., Tscherning, C.C., Veicherts, M.: GOCE data analysis: the space-wise approach and the first space-wise gravity field model. In: Lacoste-Francis, H. (Hrsg.) Proceedings of the ESA Living Planet Symposium, ESA Publication SP-686, ESA/ESTEC, Noordwijk (2010)
Moritz, H.: Advanced least-squares methods. Reports of the Department of Geodetic Science, no. 175, The Ohio State University (1972)
Moritz, H.: Least-squares collocation. Rev. Geophys. Space Phys. 16(3), 421–430 (1978)
Pail, R.: A parametric study on the impact of satellite attitude errors on GOCE gravity field recovery. J. Geod. 79, 231–241. Springer (2005). doi:10.1007/s00190-005-0464-z
Pail, R., Bingham, R., Braitenberg, C., Dobslaw, H., Eicker, A., Güntner, A., Horwath, M., Ivins, E., Longuevergne, L., Panet, I., Wouters, B.: Science and User Needs for Observing Global Mass Transport to Understand Global Change and to Benefit Society. Surv. in Geophys. 36(6), 743-772 (2015). doi: 10.1007/s10712-015-9348-9
Pail, R., Bruinsma, S., Migliaccio, F., Förste, C., Goiginger, H., Schuh, W.-D., Höck, E., Reguzzoni, M., Brockmann, J.M., Abrikosov, O., Veicherts, M., Fecher, T., Mayrhofer, R., Krasbutter, I., Sansó, F., Tscherning, C.C.: First GOCE gravity field models derived by three different approaches. J. Geod. 85(11), 819–843. Springer (2011). doi:10.1007/s00190-011-0467-x
Pail, R., Fecher, T., Murböck, M., Rexer, M., Stetter, M., Gruber, T., Stummer, C.: Impact of GOCE Level 1b data reprocessing on GOCE-only and combined gravity field models. Studia Geophys. Geod. 57, 155–173 (2013). doi:10.1007/s11200-012-1149-8
Pail, R., Goiginger, H., Schuh, W.-D., Höck, E., Brockmann, J.M., Fecher, T., Gruber, T., Mayer-Gürr, T., Kusche, J., Jäggi, A., Rieser, D.: Combined satellite gravity field model GOCO01S derived from GOCE and GRACE. Geophys. Res. Lett. 37, EID L20314. American Geophysical Union (2010b). doi:10.1029/2010GL044906
Pail, R., Plank, G.: Assessment of three numerical solution strategies for gravity field recovery from GOCE satellite gravity gradiometry implemented on a parallel platform. J. Geod. 76, 462–474. Springer (2002). doi:10.1007/s00190-002-0277-2
Pail, R., Wermuth, M.: GOCE SGG and SST quick-look gravity field analysis. Adv. Geosci. 1, 5–9 (2003)
Panet, I., Chambodut, A., Diament, M., Holschneider, M., Jamet, O.: New insights on intra-plate volcanism in French Polynesia from wavelet analysis of GRACE, CHAMP and sea-surface data. J. Geophys. Res. 111(B9), B09403 (2006). doi:10.1029/2005JB00 4141
Pavlis, N.K., Holmes, S.A., Kenyon, S.C., Factor, J.K.: The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). J. Geophys. Res. 117(B04406), 38 (2012). doi:10.1029/2011JB008916
Rapp, R.H., Basic, T.: Oceanwide gravity anomalies from GEOS-3, SEASAT and GEOSAT altimeter data. J. Geophys. Res. Lett. 19(19), 1979–1982 (1992)
Reigber, C., Balmino, G., Schwintzer, P., Biancale, R., Bode, A., Lemoine, J.-M., Koenig, R., Loyer, S., Neumayer, H., Marty, J.C., Barthelmes, F., Perossanz, F.: A high quality global gravity field model from CHAMP GPS tracking data and accelerometry (EIGEN-1S). Geophys. Res. Lett. 29, 14 (2002). http://dx.doi.org/10.1029/2002GL015064
Rudenko, S., Dettmering, D., Esselborn, S., Schoene, T., Foerste, C., Lemoine, J.-M., Ablain, M., Alexandre, D., Neumayer, K.-H.: Influence of time variable geopotential models on precise orbits of altimetry satellites, global and regional mean sea level trends. Adv. Space Res. (2014). doi:10.1016/j.asr.2014.03.010
Rummel, R.: GOCE: gravitational gradiometry in a satellite. In: Freeden, W., Nashed, M.Z., Sonar, T. (Hrsg.) Handbook of Geomathematics, Bd. 2, S. 93–103. Springer (2010). doi:10.1007/978-3-642-01546-5_4
Rummel, R.: Height unification using GOCE. J. Geod. Sci. 2012, 2(Heft 4), 355–362 (2013). Versita. doi:10.2478/v10156-011-0047-2
Rummel, R., Gruber, T., Koop, R.: High level processing facility for GOCE: products and processing strategy. In: Lacoste, H. (Hrsg.) Proceedings 2nd International GOCE User Workshop „GOCE, The Geoid and Oceanography“, ESA SP-569, ESA, Noordwijk (2004)
Rummel, R., Yi, W., Stummer, C.: GOCE gravitational gradiometry. J. Geod. 85(11), 777–790. Springer (2011). doi:10.1007/s00190-011-0500-0
Sampietro, D., Reguzzoni, M., Braitenberg, C.: The GOCE estimated Moho Beneath the Tibetan Plateau and Himalaya. In: Rizos, C., Willis, P. (Hrsg.) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, Bd. 139, S. 391–397 (2014). doi:10.1007/978-3-642-37222-3_52
Schall, J., Eicker, A., Kusche, J.: The ITG-Goce02 gravity field model from GOCE orbit and gradiometer data based on the short arc approach. J. Geod. 88(4), 403–409 (2014). doi:10.1007/s00190-014-0691-2
Schmidt, M., Fengler, M., Mayer-Gürr, T., Eicker, A., Kusche, J., Sanchez, L., Han, S.-C.: Regional gravity modelling in terms of spherical base functions. J. Geod. 81, 17–38 (2007). doi:10.1007/s00190-006-0101-5
Schneider, M.: A general method of orbit determination. Library Translation, Band 1279, Royal Aircraft Establishment, Ministry of Technology, Farnborough (1968)
Schuh, W.-D.: Tailored numerical solution strategies for the global determination of the Earth’s gravity field. Mitteil. Geod. Inst. TU Graz, 81, 156. Graz. (1996)
Schwarz, K.P., Sideris, M.G., Forsberg, R.: The use of FFT techniques in physical geodesy. Geophys. J. Int. 100, 485–514 (1990)
Siemes, C.: Digital filtering algorithms for decorrelation within large least squares problems. Dissertation, University of Bonn, Germany (2008)
Sneeuw, N.: A semi-analytical approach to gravity field analysis from satellite observations. Dissertation, DGK, Reihe C, no. 527, Bayerische Akademie Wissenschaften, Munich (2000)
Sneeuw, N., van Gelderen, M.: The polar gap. In: Geodetic Boundary Value Problems in View of the One Centimeter Geoid. Lecture Notes in Earth Sciences, Bd. 65, S. 559–568. Springer, Berlin (1997). doi:10.1007/BFb0011699
Stetter, M.: Stochastische Modellierung von GOCE-Gradiometerbeobachtungen mittels digitaler Filter. Master Thesis, no. D240, TU München (2012)
Stummer, C., Fecher, T., Pail, R.: Alternative method for angular rate determination within the GOCE gradiometer processing. J. Geod. 85(11), 585–596. Springer (2011). doi:10.1007/s00190-011-0461-3
Stummer, C., Siemes, C., Pail, R., Frommknecht, B., Floberghagen, R.: Upgrade of the GOCE level 1b gradiometer processor. Adv. Space. Res. 49(4), 739–752 (2012). doi:10.1016/j.asr.2011.11.027
Tapley, B.D., Bettadpur, S., Watkins, M., Reigber, C.: The gravity recovery and climate experiment: mission overview and early results. Geophys. Res. Lett. 31(9), L09607, AmericanGeophysical Union (2004). http://dx.doi.org/10.1029/2004GL019920
van der Meijde, M., Julià, J., Assumpção, M.: Gravity derived Moho for South America. Tectonophysics 609, 456–467 (2013). doi:10.1016/j.tecto.2013.03.023
Vanícek, P., Wells, D., Derenyi, E., Kleusberg, A., Yazdani, R., Arsenault, T., Christou, N., Mantha, J., Pagiatakis, S.: Satellite altimetry applications for marine gravity. Technical report No.128, Dept. of Surveying Engineering, University of New Brunswick, Fredericton (1987)
Yi, W., Rummel, R., Gruber, T.: Gravity field contribution analysis of GOCE gravitational gradient components. Studia Geophysica et Geodaetica 57(2), 174–202 (2013). ISSN (Online) 1573–1626. doi:10.1007/s11200-011-1178-8
Yoder, C.F., Williams, J.G., Dickey, J.O., Schutz, B.E., Eanes, R.J., Tapley, B.D.: Secular variation of Earth’s gravitational harmonic J2 coefficient from Lageos and non-tidal acceleration of Earth rotation. Nature 303, 757–762 (1983)
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Pail, R. (2017). Globale Schwerefeldmodellierung am Beispiel von GOCE. In: Rummel, R. (eds) Erdmessung und Satellitengeodäsie. Springer Reference Naturwissenschaften . Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47100-5_8
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