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The Effect of Polar Gaps on the Solutions of Gradiometric Boundary Value Problems

Artificial Satellites

Volume 43 (2008): Issue 3 (September 2008)

By: M. Eshagh

Open Access

|Jul 2009

Abstract

The lack of satellite gravity gradiometric data, due to inclined orbit, in the Polar Regions influences the geopotential coefficients obtained from the solutions of gradiometric boundary value problems. This paper investigates the polar gaps effect on these solutions and it presents that the near zero-, first- and second-order geopotential coefficients are weakly determined by the vertical-vertical, vertical-horizontal and horizontal solutions, respectively. Also it shows that the vertical-horizontal solution is more sensitive to the lack of data than the other solutions.

References

Albertella A., Migliaccio F., and Sansó F. (2002) GOCE: The Earth Field by Space Gradiometry. Celestial Mechanics and Dynamical Astronomy, Vol. 83, 1-15.10.1023/A:1020104624752
Search in Google Scholar
Balmino G., Perosanz F., Rummel R., Sneeuw N., Sünkel H. and Woodworth P., (1998) European Views on Dedicated Gravity Field Missions: GRACE and GOCE. An Earth Sciences Division Consultation Document, ESA, ESD-MAG-REP-CON-001.
Search in Google Scholar
Balmino G., Perosanz F., Rummel R., Sneeuw N. and Suenkel H. (2001) CHAMP, GRACE and GOCE: Mission Concepts and Simulations. Boll. Geof. Teor. Appl., Vol. 40, No. 3-4, 309-320.
Search in Google Scholar
ESA (1999) Gravity Field and Steady-State Ocean Circulation Mission, ESA SP-1233(1), Report for mission selection of the four candidate earth explorer missions. ESA Publications Division, pp. 217, July 1999.
Search in Google Scholar
Eshagh M. (2009) On satellite gravity gradiometry, Doctoral thesis in geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden.
Search in Google Scholar
Heiskanen W. and Moritz H. (1967) Physical Geodesy. W.H Freeman and company, San Fransisco and London.10.1007/BF02525647
Search in Google Scholar
Hwang C. (1991) Orthogonal functions over the oceans and applications to the determination of orbit error, geoid and sea surface topography from satellite altimetry, PhD dissertation, 229 pp.
Search in Google Scholar
Hwang C. (1993) Fast algorithm for the formulation of normal equations in a least-squares spherical harmonic analysis by FFT, Manuscripta Geodaetica. 62:46-52.
Search in Google Scholar
Koop R. (1993) Global gravity field modeling using satellite gravity gradiometry. Publ Geodesy, New series, No. 38. Netherland Geodetic Commission, Delft.
Search in Google Scholar
Lemoine F.G., Kenyon S.C., Factor J.K., Trimmer R.G., Pavlis N.K., Chinn D.S., Cox C.M., Klosko S.M., Luthcke S.B., Torrence M.H., Wang Y.M., Williamson R.G., Pavlis E.C., Rapp R.H. and Olson T.R. (1998) The Development of the Joint NASA GSFC and NIMA Geopotential Model EGM96,_NASA/TP-1998-206861. Goddard Space Flight Center, Greenbelt10.1007/978-3-662-03482-8_62
Search in Google Scholar
Martinec Z. (2003) Green's function solution to spherical gradiometric boundary-value problems, Journal of Geodesy, 77:41-49.10.1007/s00190-002-0288-z
Search in Google Scholar
Metzler B. and Pail R. (2005), GOCE data processing: the spherical cap regularization approach, Studia Geophysica et Geodaetica, 49: 441-462.10.1007/s11200-005-0021-5
Search in Google Scholar
Pail R., Plank G. and Schuh W.D. (2001) Spatially restricted data distributions on the sphere: the method of orthonormalized functions and applications, Journal of Geodesy,. 75:44-56.10.1007/s001900000153
Search in Google Scholar
Reigber C., Schwintzer P. and Lühr H. (1999) The CHAMP geopotential mission, Boll. Geof. Teor. Appl. Vol. 40, 285-289.
Search in Google Scholar
Reigber Ch., Jochmann H., Wünsch J., Petrovic S., Schwintzer P., Barthelmes F., Neumayer K.-H., König R., Förste Ch., Balmino G., Biancale R., Lemoine J.-M., Loyer S. and Perosanz F. (2004) Earth Gravity Field and Seasonal Variability from CHAMP. In: Reigber, Ch., Lühr, H., Schwintzer, P., Wickert, J. eds. Earth Observation with CHAMP - Results from Three Years in Orbit, Springer, Berlin, 25-30.
Search in Google Scholar
Rudolph S., Kusche J. and Ilk K. H. (2002) Investigations on the polar gap problem in ESA's gravity field and steady-state ocean circulation explorer mission (GOCE), Journal of Geodynamics, 33:65-74.10.1016/S0264-3707(01)00055-2
Search in Google Scholar
Rummel R., Sanso F., Gelderen M., Koop R., Schrama E., Brovelli M., Migiliaccio F., and Sacerdote F. (1993) Spherical harmonic analysis of satellite gradiometry. Publ Geodesy, New Series, No. 39 Netherlands Geodetic Commission, Delft.
Search in Google Scholar
Siemes C., Schuh W.D. Cai J., Sneeuw N. and Baur O. (2007) GOCE data processing: the numerical challenge of data gaps, Satus sem., observation of system Earth from space geotechnologien, science report 11, p. 99-105, Munchen, Germany.
Search in Google Scholar
Simons F. J. and Dahlen F. A. (2006) Spherical Slepian functions and the polar gap in geodesy, Geophysical Journal International, 166:1039-1061.10.1111/j.1365-246X.2006.03065.x
Search in Google Scholar
Sneeuw N. and van Gelderen M. (1997) The polar gaps, In Lecture notes in Earth sciences, geodetic boundary value problems in view of the one centimeter geoid, Lecture notes in Earth Sciences eds. Sanso F and Rummel R, 2003, 559-568. Springer-Verlag10.1007/BFb0011717
Search in Google Scholar
Tapley B., Ries J. Bettadpur S., Chambers D., Cheng M., Condi F., Gunter B., Kang Z., Nagel P., Pastor R., Pekker T., Poole S. and Wang F. (2005) GGM02-An improved Earth gravity field model from GRACE. Journal of Geodesy, Vol. 79, 467-478.10.1007/s00190-005-0480-z
Search in Google Scholar
Tscherning C.C., Forsberg R., Albertella A., Migliaccio F. and Sanso F. (2000) The polar gap problem, Space-wise approaches to gravity field determination in Polar areas, Eötvös to mGal, Finsal report, 10 April 2000, Suenkel H. (Ed.), p. 331-336. Study team 2, UCPH, POLIMI http://www.gfy.ku.dk/~cct/publ_cct/cct1600.pdf
Search in Google Scholar
Tscherning C. C. (2001) Covering the GOCE mission polar data gaps using gradients and ground gravity, In Proc. International GOCE user workshop, ESTEC, 23-24 April 2001, p. 105-110. ESA WPP-188.
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/v10018-009-0011-x | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859

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Language: English

Page range: 97 - 108

Published on: Jul 21, 2009

Published by: Polish Academy of Sciences, Space Research Centre

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

satellite gravity gradiometry,

associated Legendre function,

loss of gravitational signal,

tensor spherical harmonics

Related subjects:

Geosciences, other

© 2009 M. Eshagh, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.

Volume 43 (2008): Issue 3 (September 2008)