Spherical harmonic modelling to ultra-high degree of Bouguer and isostatic anomalies

Journal of Geodesy

Volumn 86, Issue 7, 2012, Pages 499-520

  Balmino, G ^a   Vales, N ^a   Bonvalot, S ^b   Briais, A ^c  

^a CNES   (France)

^b INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (France)

^c CNRS   (France)

Author keywords

Bouguer gravity anomalies; Earth's topography; Isostatic gravity anomalies; Spherical harmonics; Surface gravity anomalies; Surface gravity perturbations

Indexed keywords

ALGORITHM; BOUGUER ANOMALY; DATA SET; DIGITAL ELEVATION MODEL; GRAVITY ANOMALY; GRAVITY FIELD; HARMONIC ANALYSIS; NUMERICAL MODEL; SPHERICAL HARMONICS; TOPOGRAPHY;

SPAIN;

EID: 84862612237     PISSN: 09497714     EISSN: 14321394     Source Type: Journal    
DOI: 10.1007/s00190-011-0533-4     Document Type: Article

References (25)

1. Amante C, Eakins BW (2009) ETOPO1 1 arc-minute global relief model: procedures, data sources and analysis. NOAA Technical Memorandum NESDIS NGDC-24, Boulder (Co).
2. Balmino G (1994) Gravitational potential harmonics from the shape of an homogeneous body. Cel Mech Dyn Astr 60(3): 331-364.
3. Balmino G (2003) Ellipsoidal corrections to spherical harmonics of surface phenomena gravitational effets. Festschrift zum 70. Geburtstag von H. Moritz, Publication of Graz Techn. University, pp 21-30.
4. Bosch W (1983) Effiziente Algorithmen zur Berechnung von Raster-Punkwerten von Kugelfunktionsentwicklungen. Memorandum, D. G. F. I., Munich.
5. Commission for the Geological Map of the World-CGMW (2010) Resolutions of the CGMW General Assembly, UNESCO, Paris.
6. Gerstl M (1980) On the recursive computation of the integrals of the associated Legendre functions. Manuscr Geod 5: 181-199.
7. Heiskanen WA, Moritz H (1967) Physical Geodesy. Freeman and co, San Francisco.
8. Hofmann-Wellenhof B, Moritz H (2005) Physical Geodesy. Springer, Berlin.
9. Holmes SA, Featherstone WE (2002) A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions. J Geod 76: 279-299.
10. Jekeli C (1981) Alternative methods to smooth the Earth's gravity field, Rep N0. 310, Department of Geodetic Science and Surveying, Ohio State University, Columbus.
11. Jekeli C, Lee KJ, Kwon JH (2007) On the computation and approximation of ultra-high-degree spherical harmonic series. J Geod 81: 603-615.
12. Kuhn M, Featherstone WE (2003) On the optimal spatial resolution of crustal mass distributions for forward gravity field modelling. In: Gravity and geoid 2002, Proceedings, pp 195-200.
13. Kuhn M, Featherstone WE, Kirby JF (2009) Complete spherical Bouguer gravity anomalies over Australia. Aust J Earth Sci 56: 213-223.
14. NGA (1999) Gravity station data format and anomaly computations. Technical Report, Geospatial Sciences Division, St Louis (Mo).
15. Pavlis NK (1988) Modeling and estimation of a low degree geopotential model from terrestrial gravity data. Rep. N0. 386, Dpt. of Geodetic Sc. and Surveying, Ohio State Univ., Columbus.
16. Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2008) An Earth Gravitational Model to Degree 2160: EGM2008. EGU General Assembly, Vienna, Austria, 13-18 April 2008.
17. Ramillien G (2002) Gravity/magnetic potential of uneven shell topography. J Geod 76(3): 139-149.
18. Rapp RH, Pavlis NK (1990) The development and analysis of geopotential coefficient Models to spherical harmonic degree 360. J Geophys Res 95(B13): 21885-21911.
19. Rummel R, Rapp RH, Sünkel H, Tscherning CC (1988) Comparisons of global topographic-isostatic models to the Earth's observed gravity Field. Rep. N0. 388, Dpt. of Geodetic Sc. and Surveying, Ohio State Univ., Columbus.
20. Torge W (2001) Geodesy, 3rd edn. de Gruyter, The Netherlands.
21. Tsoulis D (2001) Terrain correction computations for a densely sampled DTM in the Bavarian Alps. J geod 75(5/6): 291-307.
22. Wenzel G (1998) Ultra-high degree geopotential models GPM98A, B and C to degree 1800. Joint meeting of the Intern. Gravity Commission and Intern. Geoid Commission, 7-12 September, Trieste.
23. Wieczorek MA (2007) Gravity and topography of the terrestrial planets. In: Treatise on geophysics, vol 10. Elsevier, Amsterdam, pp 165-206.
24. Wieczorek MA, Phillips RJ (1998) Potential anomalies on a sphere: applications to the thickness of the lunar crust. J Geophys Res 103(E1): 1715-1724.
25. Wigner EP (1959) Group theory and its application to quantum mechanics of atomic spectra. Academic Press, New-York.