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Spatially Restricted Integrals in Gradiometric Boundary Value Problems Cover

Spatially Restricted Integrals in Gradiometric Boundary Value Problems

Artificial Satellites
Volume 44 (2009): Issue 4 (December 2009)
By:   
Open Access
|Apr 2010
References

References

  1. Albertella A., Sansò F. and Sneeuw N. (1999) Band-limited functions on a bounded spherical domain: the Slepian problem on the sphere., Vol. 73, 436-447.
    Open DOISearch in Google Scholar
  2. Albertella A., Migliaccio F. and Sansò F. (2002) GOCE: The Earth Field by Space Gradiometry., Vol. 83, 1-15.
    Open DOISearch in Google Scholar
  3. 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
  4. Balmino G., Perosanz F., Rummel R., Sneeuw N. and Sünkel H. (2001) CHAMP, GRACE and GOCE: Mission Concepts and Simulations., Vol. 40, 3-4, 309-320.
    Search in Google Scholar
  5. Eshagh M. (2008) Non-singular expressions for the vector and the gradient tensor of gravitation in a geocentric spherical frame,, Vol. 34, 1762-1768.
    Search in Google Scholar
  6. Eshagh M. (2009a), Doctoral dissertation in Geodesy, TRITA-TEC-PHD-09004, ISSN 1653-4468Royal Institute of Technology (KTH), Stockholm, Sweden.
    Search in Google Scholar
  7. Eshagh M. (2009b), Postdoctoral report in Geodesy, TRITA-TEC-RR 09-006, ISSN 1653-4484, ISBN 13:978-91-85539-47-5, Royal Institute of Technology (KTH), Stockholm, Sweden.
    Search in Google Scholar
  8. Eshagh M. (2009c) The effect of polar gaps on the solutions of gradiometric boundary value problems,, Vol. 43, No. 3, 97-108.
    Open DOISearch in Google Scholar
  9. Eshagh M. (2010) Alternative expression for gravity gradients in local north-oriented frame and tensor spherical harmonics,, Vol. 58, 215-243.
    Search in Google Scholar
  10. Grünbaum F.A., Longhi L. and Perlstadt M. (1982) Differential operators commuting with finite convolution integral operators: some non-abelian examples., Vol. 42, 941-955.
    Open DOISearch in Google Scholar
  11. Heiskanen W. and Moritz H. (1967), W. H. Freeman and company, San Francisco and London.
    Open DOISearch in Google Scholar
  12. Hwang C. (1991), PhD dissertation, JPL 958121, OSURF 720426, 229 pp, Dec, 1991.
    Search in Google Scholar
  13. Ilk K.H. (1983)Deutsche Geodätische Kommission, Reihe C, Heft Nr. 288, München.
    Search in Google Scholar
  14. Kim M.C. and Tapley B. (2000) Formation of surface spherical harmonic normal matrices and application to high-degree geopotential modeling,, Vol. 74, 359-375.
    Search in Google Scholar
  15. Koop R. (1993)Publ Geodesy, New series, No. 38. Netherland Geodetic Commission, Delft.
    Search in Google Scholar
  16. Mainville A. (1986), Report No. 373, Dept. of Geod Sci, The Ohio state University, Columbus, Ohio.
    Search in Google Scholar
  17. Martinec Z. (2003) Green's function solution to spherical gradiometric boundaryvalue problems,, Vol. 77, 41-49.
    Search in Google Scholar
  18. Miranian L. (2004) Slepian functions on the sphere, generalized Gaussian quadrature rule., Vol. 20, 877-892.
    Open DOISearch in Google Scholar
  19. Pail R., Plank G. and Schuh W. D. (2001) Spatially restricted data distribution on the sphere: the method of orthonormalized functions and applications,, Vol. 75, 44-56.
    Search in Google Scholar
  20. Paul M.K. (1978) Recurrence relations for integrals of associated Legendre functions,, Vol. 52, 177-190.
    Search in Google Scholar
  21. Rummel R. (1997), Lecture notes in Earth sciences Edited by Sanso F. and Rummel R., p.359-401.
    Search in Google Scholar
  22. Rummel R., Sanso F., Gelderen M., Koop R., Schrama E., Brovelli M., Migiliaccio F. and Sacerdote F. (1993)Publ Geodesy, New Series, No. 39 Netherlands Geodetic Commission, Delft.
    Search in Google Scholar
  23. Sebilleau D. (1998) On the computation of the integrated products of three spherical harmonics,, Vol. 31, 7157-7168.
    Search in Google Scholar
  24. Slepian D. (1983) Some comments on Fourier-analysis, uncertainty and modeling,, Vol. 25, 379-393.
    Search in Google Scholar
  25. Simons M., Solomon S.C. and Hager B. H. (1997) Localization of gravity and topography: constraints on the tectonic and mantle dynamics of Venus,, Vol. 131, 24-44.
    Search in Google Scholar
  26. Simons F.J. Dahlen F.A. and Wieczorek M.A. (2006) Spatiospectral concentration on a sphere,, Vol. 48, 3, 504-536.
    Search in Google Scholar
  27. van Gelderen M. and Rummel R. (2001) The solution of the general boundary value problem by least-squares,, Vol. 75, 1-11.
    Search in Google Scholar
  28. van Gelderen M. and Rummel R. (2002) Corrections to "The solution of the general geodetic boundary value problem by least squares"., Vol. 76, 121-122.
    Open DOISearch in Google Scholar
  29. Varshalovich D.A., Moskalev A.N. and Khersonskii V.K. (1989)World Scientific Publ, Singapore.
    Open DOISearch in Google Scholar
  30. Wieczorek M.A. and Simons F.J. (2005) Localized spectral analysis on the sphere,, Vol. 162, 655-675.
    Search in Google Scholar
  31. Xu Y.L. (1996) Fast evaluation of the Gaunt coefficients,, Vol. 65, 1601-1612.
    Search in Google Scholar
  32. Zerilli F.J. (1970) Tensor harmonics in canonical form for gravitational radiation and other application., Vol. 11, 2203-2208.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/v10018-009-0025-4 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859 (formerly 0208-841X)
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Language: English
Page range: 131 - 148
Published on: Apr 26, 2010
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services
Keywords:
Clebsch-Gordan's coefficients,
Gaunt's coefficients,
harmonic analysis,
associated Legendre's function,
satellite gravity gradiometry,
Slepian's function
Related subjects:
Geosciences,
Geosciences, other

© 2010 M. Eshagh, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.

Volume 44 (2009): Issue 4 (December 2009)
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