An ellipsoidal harmonic representation of Earth's lithospheric magnetic field to degree and order 720

Geochemistry, Geophysics, Geosystems

Volumn 11, Issue 6, 2010, Pages

  Maus, S ^a,b  

^a UNIVERSITY OF COLORADO   (United States)

^b NATIONAL GEOPHYSICAL DATA CENTER   (United States)

Author keywords

Crustal magnetic field; Ellipsoidal harmonic expansion; Magnetic anomaly; Magnetic potential; Magnetic reference model

Indexed keywords

EID: 77954414724     PISSN: 15252027     EISSN: 15252027     Source Type: Journal    
DOI: 10.1029/2010GC003026     Document Type: Article

References (35)

1. Abramowitz, M., and I. A. Stegun (1972), Handbook of Mathematical Functions, Dover, New York.
2. Aitken, A. R. A., and P. G. Betts (2008), High-resolution aeromagnetic data over central Australia assist Grenville-era (1300-1100 Ma) Rodinia reconstructions, Geophys. Res. Lett., 35, L01306, doi:10.1029/2007GL031563. (Pubitemid 351459815)
3. Backus, G. E. (1970), Non-uniqueness of the external geomagnetic field determined by surface intensity measurements, J. Geophys. Res., 75, 6339-6341.
4. Blakely, R. J. (1995), Potential Theory in Gravity and Magnetic Applications, Cambridge Univ. Press, Cambridge, U. K.
5. Fairhead, J. D., D. J. Misener, C. M. Green, G. Bainbridge, and S. W. Reford (1997), Large scale compilation of magnetic, gravity and electromagnetic data: The new exploration strategy for the 90's, in Proceedings of Exploration 97: Fourth Decennial International Conference on Mineral Exploration, edited by A. G. Gubins, pp. 805-816, GEO F/X, Toronto, Ont., Canada.
6. Gleason, D. M. (1988), Comparing ellipsoidal corrections to the transormation between the geopotential's spherical and ellipsoidal spectrums, Manuscr. Geod., 13, 114-129.
7. Hamoudi, M., E. Thébault, V. Lesur, and M. Mandea (2007), GeoForschungsZentrum Anomaly Magnetic Map (GAMMA): A candidate model for the World Digital Magnetic Anomaly Map, Geochem. Geophys. Geosyst., 8, Q06023, doi:10.1029/2007GC001638.
8. Hemant, K., and S. Maus (2005), Geological modeling of the new CHAMP magnetic anomaly maps using a geographical information system technique, J. Geophys. Res., 110, B12103, doi:10.1029/2005JB003837. (Pubitemid 43159819)
9. Hemant, K., E. Thebault, M. Mandea, D. Ravat, and S. Maus (2007), Magnetic anomaly map of the world: Merging satellite, airborne, marine and ground-based magnetic data sets, Earth Planet. Sci. Lett., 260, 56-71, doi:10.1016/j. epsl.2007.05.040.
10. Jackson, A., D. Winch, and V. Lesur (1999), Geomagnetic effects of the Earth's ellipticity, Geophys. J. Int., 138, 285-289.
11. Jekeli, C. (1988), The exact transformation between ellipsoidal and spherical harmonic expansions, Manuscr. Geod., 13, 106-113.
12. Korhonen, J., et al. (2007), Magnetic anomaly map of the world, scale 1:50,000,000, 1st ed., Geol. Surv. of Finland, Helsinki.
13. Langel, R. A. (1987), The main geomagnetic field, in Geomagnetism, vol.1, edited by J. A. Jacobs, pp. 249-512, Academic, London.
14. Langel, R. A., and W. J. Hinze (1998), The Magnetic Field of the Earth's Lithosphere: The Satellite Perspective, Cambridge Univ. Press, Cambridge, U. K.
15. Lemoine, F. G., et al. (1998), The development of the joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) Geopotential Model, EGM96, Rep. NASA/TP-1998-206861, NASA, Greenbelt, Md.
16. Lesur, V., I. Wardinski, M. Rother, and M. Mandea (2008), GRIMM: The GFZ Reference Internal Magnetic Model based on vector satellite and observatory data, Geophys. J. Int., 173, 382-394, doi:10.1111/j.1365-246X.2008.03724.x.
17. Lowes, F. J. (2003), The explanation of some covariances, associated with the Backus effect, in the rsted model (9/99), Phys. Earth Planet. Inter., 135, 93-96.
18. Maus, S. (2008), The geomagnetic power spectrum, Geophys. J. Int., 174, 135-142, doi:10.1111/j.1365-246X.2008.03820.x.
19. Maus, S., M. Rother, C. Stolle, W. Mai, S. Choi, H. Lühr, D. Cooke, and C. Roth (2006), Third generation of the Potsdam Magnetic Model of the Earth (POMME), Geochem. Geophys. Geosyst., 7, Q07008, doi:10.1029/2006GC001269.
20. Maus, S., H. Lühr, M. Rother, K. Hemant, G. Balasis, P. Ritter, and C. Stolle (2007a), Fifth-generation lithospheric magnetic field model from CHAMP satellite measurements, Geochem. Geophys. Geosyst., 8, Q05013, doi:10.1029/2006GC001521.
21. Maus, S., T. Sazonova, K. Hemant, J. D. Fairhead, and D. Ravat (2007b), National Geophysical Data Center candidate for the World Digital Magnetic Anomaly Map, Geochem. Geophys. Geosyst., 8, Q06017, doi:10.1029/2007GC001643.
22. Maus, S., F. Yin, H. Lühr, C. Manoj, M. Rother, J. Rauberg, I. Michaelis, C. Stolle, and R. D. Müller (2008), Resolution of direction of oceanic magnetic lineations by the sixthgeneration lithospheric magnetic field model from CHAMP satellite magnetic measurements, Geochem. Geophys. Geosyst., 9, Q07021, doi:10.1029/2008GC001949.
23. Maus, S., et al. (2009), EMAG2: A 2-arc min resolution Earth Magnetic Anomaly Grid compiled from satellite, airborne, and marine magnetic measurements, Geochem. Geophys. Geosyst., 10, Q08005, doi:10.1029/2009GC002471.
24. Milligan, P. R., P. Petkovic, and B. J. Drummond (2003), Potential field datasets for the Australian region: their significance in mapping basement architecture, Spec. Pap. Geol. Soc. Am., 372, 129-139.
25. Minty, B. R. S., P. R. Milligan, A. P. J. Luyendyk, and T. Mackey (2003), Merging airborne magnetic surveys into continental-scale compilations, Geophysics, 68, 988-995.
26. Müller, R. D., M. Sdrolias, C. Gaina, and W. R. Roest (2008), Age, spreading rates, and spreading asymmetry of the world'socean crust, Geochem. Geophys. Geosyst., 9, Q04006, doi:10.1029/2007GC001743.
27. Olsen, N., M. Mandea, T. J. Sabaka, and L. Tøffner-Clausen (2009), CHAOS-2-A geomagnetic field model derived from one decade of continuous satellite data, Geophys. J. Int., 179, 1477-1487, doi:10.1111/j.1365-246X.2009. 04386.x.
28. Pavlis, N. K., S. A. Holmes, S. C. Kenyon, and J. K. Factor (2008), The EGM2008 global gravitational model, Eos Trans. AGU, 89(53), Fall Meet. Suppl., Abstract G22A-01.
29. Purucker, M., and K. Whaler (2007), Crustal magnetism, in Treatise on Geophysics, vol.5, Geomagnetism, edited by M. Kono, chap. 6, pp. 195-237, Elsevier, Amsterdam.
30. Sabaka, T. J., N. Olsen, and M. E. Purucker (2004), Extending comprehensive models of the Earth's magnetic field with ørsted and CHAMP data, Geophys. J. Int., 159, 521-547, doi:10.1111/j.1365-246X.2004.02421.x. (Pubitemid 39520402)
31. Shaw, R. D., P. Wellman, P. Gunn, A. J. Whitaker, C. Tarlowski, and M. Morse (1996), Guide to using the Australian Crustal Elements Map, Record, 1996/30, Aust. Geol. Surv. Organ., Canberra.
32. Thébault, E., J. J. Schott, and M. Mandea (2006), Revised spherical cap harmonic analysis (R-SCHA): Validation and properties, J. Geophys. Res., 111, B01102, doi:10.1029/ 2005JB003836.
33. White, A. A., A. Staniforth, and N. Wood (2008), Spheroidal coordinate systems for modelling global atmospheres, Q. J. R. Meteorol. Soc., 134, 261-270, doi:10.1002/qj.208. (Pubitemid 351512726)
34. Whittaker, J. M., R. D. Müller, G. Leitchenkov, H. Stagg, M. Sdrolias, C. Gaina, and A. Goncharov (2007), Major Australian-Antarctic plate reorganization at Hawaiian? Emperor bend time, Science, 318, 83-86, doi:10.1126/ science.1143769.
35. Winch, D. E. (1967), An application of oblate spheroidal harmonic functions to the determination of the geomagnetic potential, J. Geomagn. Geoelectr., 19, 49-61.