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Explicit Construction of the Modified Spherical Harmonic Series for the Gravity Gradients and Analysis of their Characteristics

Open Access
|Feb 2009

References

  1. CE (2005) Catalog of earthquakes in Northern Europe 1375-2005. The Institute of Seismology of the University of Helsinki. http://www.seismo.helsinki.fi/bulletin/list/catalog/Scandia_clean.html
  2. Claessens SJ New relations among associated Legendre functions and spherical harmonics. Journal of Geodesy, vol 79: 398-406.10.1007/s00190-005-0483-9
  3. ETOPO2v2 (2006) 2-minute Gridded Global Data. U. S. Department of Commerce, National Oceanic and Atmospheric Administration, National Geophysical Data Center. http://www.ngdc.noaa.gov/mgg/fliers/06mgg01.html
  4. Grafarend E. W., Voosoghi B. (2003) Intrinsic deformation analysis of the Earth's surface based on displacement fields derived from the space geodetic measurements. Case studies: present-day deformation patterns of Europe and of the Mediterranean area (ITRF data sets). Journal of Geodesy, Vol. 77, No. 5-6, pp. 303-326.
  5. Heiskanen W. A., Moritz H. (1979) Physical Geodesy. Institute of Physical Geodesy, Technical University, Graz, Austria.
  6. Holmes S. A., Featherstone W. E. (2002) A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalized associated Legendre functions. Journal of Geodesy, Vol. 76, No. 5, pp. 279-299.10.1007/s00190-002-0216-2
  7. Ilk KH (1983) Ein Beitrag zur Dynamik ausgedehnter Körper - Gravitationswechselwirkung. Deutsche Geodätische Kommission, Reihe C, Heft Nr. 288, München.
  8. Moritz H (1980) Geodetic Reference System 1980. Bull Géod 54 (4): 395-40510.1007/BF02521480
  9. Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2008) An Earth Gravitational Model to Degree 2160: EGM2008, presented at the 2008 General Assembly of the European Geosciences Union, Vienna, Austria, April 13-18
  10. Petrovskaya M. S., Vershkov A. N. (2006) Non-singular expressions of the gravity gradients in the local north-oriented and orbital reference frames. Journal of Geodesy, Vol. 80, No. 3, pp. 117-127.10.1007/s00190-006-0031-2
  11. Petrovskaya M. S., Vershkov A. N. (2008) Development of the local north-oriented second order derivatives of the Earth potential in orthogonal series of modified spherical harmonics. Journal of Geodesy, Vol. 82, No. 12, pp. 929-944, DOI: 10.1007/s00190-008-0223-z.10.1007/s00190-008-0223-z
DOI: https://doi.org/10.2478/v10018-009-0001-z | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
Language: English
Page range: 185 - 214
Published on: Feb 5, 2009
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

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

Volume 42 (2007): Issue 4 (December 2007)