Abstract
Physical geodesy is by definition the science which studies and calculates the Earth’s gravity field and its physical form. Satellite physical geodesy exploits satellite techniques to solve the problems established in physical geodesy. During the second half of the twentieth century, satellite techniques allowed to make outstanding advances in the knowledge of the gravity field of our planet, contributing to the estimation of more and more accurate geoid models, at higher and higher spatial and temporal resolution. In this way, satellite geodesy missions indeed enabled scientists to gain better knowledge of the shape of the Earth, of fundamental geophysical phenomena, of the shape of the oceans surface, of sea currents, of ice sheets and of climatological phenomena.
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Notes
The spherical harmonic model of the Earth's gravitational potential EGM2008 was estimated by least squares combination of the ITG-GRACE03S gravitational model and gravitational information obtained from a global set of mean free-air gravity anomalies given on a 5 arc-minute equiangular grid. This grid was estimated by merging terrestrial, altimetry-derived, and airborne gravity data. EGM2008 is complete to degree and order 2159, plus additional coefficients up to degree 2190 and order 2159. Over areas having good gravity data coverage, the discrepancies between EGM2008 geoid undulations and GPS/Levelling derived undulations are on the order of ±5 to ±10 cm.
References
Andersen OB, (2010) The DTU10 Gravity field and Mean sea surface. In: Second international symposium of the gravity field of the Earth (IGFS2), Fairbanks, Alaska
Barlier F, Lefebvre M (2001) A new look at planet Earth: fatellite geodesy and geosciences. The century of space science. Kluwer, New York, pp 1–29
Beaussier J, Mainguy A-M, Olivero A, Rolland R (1977) In orbit performance of the Cactus accelerometer (D5B spacecraft). Acta Astronaut 4(9–10):1085–1102
Bender PL, Wiese DN, Nerem RS (2008). A possible Dual-GRACE mission with 90 degree and 63 degree inclination orbits, in Proc. of the 3rd International symposium on Formation flying, missions and technologies, Noordwijk (NL)
Bryant DL, Nerem RS, Luthcke SB (2012) Simulation study of a follow-on gravity mission to GRACE. J Geodesy 86:319–335
Buchar E (1958) Motion of the nodal line of the second Russian Earth satellite (1957β) and flattening of the Earth. Nature 182:198–199
Flechtner F, Dahle Ch, Neumayer KH, König R, Förste Ch (2010) The release 04 CHAMP and GRACE EIGEN gravity field models. In: Flechtner F, Gruber Th, Güntner A, Mandea M, Rothacher M, Schöne T, Wickert J (eds) System Earth via geodetic-geophysical space techniques. Springer, Berlin, pp 41–58
Floberghagen R, Fehringer M, Lamarre D, Muzi D, Frommknecht B, Steiger C, Piñeiro J, da Costa A (2011) Mission design, operation and exploitation of the gravity field and steady-state ocean circulation explorer mission. J Geodesy 85:749–758
Gilardoni M, Reguzzoni M, Sampietro D (2013) A least-squares collocation procedure to merge local geoids with the aid of satellite-only gravity models: the Italian/Swiss geoids case study. Bollettino di Geofisica Teorica ed Applicata 54(4):303–319
Han SC, Shum CK, Bevis M, Ji C, Kuo CY (2006) Crustal dilatation observed by GRACE after the 2004 Sumatra-Andaman earthquake. Science 313:658–662
Heiskanen WA, Moritz H (1967) Physical geodesy. WH Freeman, San Francisco
Hofmann-Wellenhof B, Lichtenegger H, Collins J (2001) Global positioning system: theory and practice. Springer, Berlin
Lundquist CA, Veis G (1966) Geodetic parameters for a 1966 Smithsonian Institution standard Earth; special report No. 200, Smithsonian Astrophysical Observatory, Cambridge
Mayer-Gürr T, (2006) Gravitationsfeldbestimmung aus der Analyse kurzer Bahnbögen am Beispiel der Satellitenmissionen CHAMP und GRACE. PhD Thesis, University of Bonn
Merson RH, King-Hele DG (1958) Use of artificial satellites to explore the Earth’s gravitational field: results from Sputnik2 (1957β). Nature 182:640–641
Migliaccio F, Reguzzoni M, Sansò F (2004) Space-wise approach to satellite gravity field determination in the presence of coloured noise. J Geodesy 78(4–5):304–313
Nichols RH (1974) Geodetic SECOR satellite. Department of Commerce, NTIS, USA
Pail R, Bruinsma S, Migliaccio F, Förste C, Goiginger H, Schuh W-D, Höck E, Reguzzoni M, Brockmann JM, Abrikosov O, Veicherts M, Fecher T, Mayrhofer R, Krasbutter I, Sansò F, Tscherning CC (2011) First GOCE gravity field models derived by three different approaches. J Geodesy 85(11):819–843
Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2008). An Earth gravitational model to degree 2160: EGM2008. Presented at European Geosciences Union General Assembly, Vienna, Austria, pp 13–18
Pearlman MR, Degnan JJ, Bosworth JM (2002) The international laser ranging service. Adv Space Res 30(2):135–143
Peters A, Chung KY, Chu S (1999) Measurement of gravitational acceleration by dropping atoms. Nature 400:849–852
Prange L, Jäggi A, Beutler G, Dach R, Mervart L (2009) Gravity field determination at the AIUB–the celestial mechanics approach. Observing our changing Earth. Int Assoc Geodesy Symp 133:353–362
Ramillien G, Lombard A, Cazenave A, Irvins ER, Llubes M, Remy F, Biancale R (2006) Interannual variations of the mass balance of the Antarctica and Greenland ice sheets from GRACE. Glob Planet Change 53(3):198–208
Rapp RH (1997) Past and future developments in geopotential modelling. In: Forsberg R, Feissl M, Dietrich R (eds) Geodesy on the move. Springer, Berlin, pp 58–78
Reigber Ch, Balmino G, Schwintzer P, Biancale R, Bode A, Lemoine J-M, Koenig R, Loyer S, Neumayer H, Marty J-C, Barthelmes F, Perosanz F, Zhu SY (2002) A high quality global gravity field model from CHAMP GPS tracking data and accelerometry (EIGEN-1S). Geophys Res Lett 29(14):37. doi:10.1029/2002GL015064
Reigber C, Jochmann H, Wünsch J, Petrovic S, Schwintzer P, Barthelmes F, Neumayer KH, König R, Förste C, Balmino G, Biancale R, Lemoine JM, Loyer S, Perosanz F (2004) Earth gravity field and seasonal variability from CHAMP. In: Reigber C, Lühr H, Schwintzer P, Wickert J (eds) Earth observation with CHAMP: results from three years in orbit. Springer, Berlin, pp 25–30
Rummel R (1993) Principle of satellite altimetry and elimination of radial orbit errors. Satellite altimetry in geodesy and oceanography, lecture notes in Earth sciences 50, Springer, Berlin, pp 190–241
Tapley BD, Bettadpur S, Ries J, Thompson PF, Watkins MM (2004) GRACE measurements of mass variability in the Earth system. Science 305:503–505
Teichman L.A (1968). The fabrication and testing of PAGEOS I, NASA TN D-4596, NASA, Washington D.C.
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Peer reviewed version of the paper presented at conference on Geodesy and Geomatics held at Accademia Nazionale dei Lincei in Rome on June 3, 2014.
Websites
Websites
-
1.
International Laser Ranging Service, List of satellites: http://ilrs.gsfc.nasa.gov/satellite_missions/list_of_satellites/
-
2.
Johns Hopkins APL, Technical Digest, The legacy of Transit: http://techdigest.jhuapl.edu/td/td1901/index.htm
-
3.
NASA, Ocean Surface Topography Mission/Jason 2: http://www.nasa.gov/mission_pages/ostm/main/index.html
-
4.
NASA, Spaceflight revolution: http://history.nasa.gov/SP-4308/
-
5.
ICGEM, Table of models: http://icgem.gfz-potsdam.de/ICGEM/
-
6.
NSSDC (National Space Science Data Center) Master Catalog Search: http://nssdc.gsfc.nasa.gov/nmc/masterCatalog.do?sc=1960-009A http://nssdc.gsfc.nasa.gov/nmc/spacecraftDisplay.do?id=1964-004A.
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Barzaghi, R., Migliaccio, F., Reguzzoni, M. et al. The Earth gravity field in the time of satellites. Rend. Fis. Acc. Lincei 26 (Suppl 1), 13–23 (2015). https://doi.org/10.1007/s12210-015-0382-9
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DOI: https://doi.org/10.1007/s12210-015-0382-9