P. Alken, S. Maus, P. Vigneron, O. Sirol, and G. Hulot, Swarm SCARF equatorial electric field inversion chain, Earth Planets Space, 65, this issue, pp.1309-1317, 2013.
DOI : 10.5047/eps.2013.09.008

URL : http://doi.org/10.5047/eps.2013.09.008

C. D. Beggan, J. Saarimäki, K. A. Whaler, and F. J. Simons, Spectral and spatial decomposition of lithospheric magnetic field models using spherical Slepian functions, Geophysical Journal International, vol.193, issue.1, 2013.
DOI : 10.1093/gji/ggs122

A. Chulliat, P. Vigneron, E. Thébault, O. Sirol, and G. Hulot, Swarm SCARF Dedicated Ionospheric Field Inversion chain, Earth Planets Space, 65, this issue, pp.1271-1283, 2013.
DOI : 10.5047/eps.2013.08.006

C. C. Finlay, S. Maus, C. Beggan, M. Hamoudi, V. Lesur et al., Evaluation of candidate geomagnetic field models for IGRF-11, Earth, Planets and Space, vol.149, issue.10, pp.62-787, 2010.
DOI : 10.5047/eps.2010.11.005

F. Maule, C. , M. Purucker, N. Olsen, and K. Mosegaard, Heat flux anomalies in Antarctica revealed from satellite magnetic data, pp.10-1126, 2005.

E. Friis-christensen, H. Lühr, and G. Hulot, Swarm: A constellation to study the Earth's magnetic field, Earth Planets Space, pp.351-358, 2006.

G. V. Haines, Spherical cap harmonic analysis, Journal of Geophysical Research, vol.61, issue.1918???19, pp.2583-2591, 1985.
DOI : 10.1029/JB090iB03p02583

K. Hemant and S. Maus, Geological modeling of the new CHAMP magnetic anomaly maps using a Geographical Information System (GIS) technique, J. Geophys. Res. B, vol.110, pp.10-1029, 2005.

G. Hulot, N. Olsen, and T. J. Sabaka, The present field

S. Kotsiaros and N. Olsen, The geomagnetic field gradient tensor, GEM - International Journal on Geomathematics, vol.25, issue.1, pp.297-314, 2012.
DOI : 10.1007/s13137-012-0041-6

R. A. Langel and W. J. Hinze, The Magnetic Field of the Earth's Lithosphere: The Satellite Perspective, 429 pp, 1998.

B. Langlais, M. E. Purucker, and M. Mandea, Crustal magnetic field of Mars, Journal of Geophysical Research: Planets, vol.412, issue.8, pp.148-0227, 2004.
DOI : 10.1029/2003JE002048

URL : https://hal.archives-ouvertes.fr/hal-00118115

V. Lesur, Introducing localized constraints in global geomagnetic field modelling, Earth Planets Space, pp.477-483, 2006.
DOI : 10.1186/bf03351943

URL : http://doi.org/10.1186/bf03351943

V. Lesur and S. Maus, A global lithospheric magnetic field model with reduced noise level in the Polar Regions, Geophysical Research Letters, vol.111, issue.12, pp.10-1029, 2006.
DOI : 10.1029/2006GL025826

V. Lesur, I. Wardinski, M. Hamoudi, and M. Rother, The second generation of the GFZ Reference Internal Magnetic Model: GRIMM-2, Earth Planets Space, pp.62-765, 2010.

V. Lesur, M. Rother, F. Vervelidou, M. Hamoudi, and E. Thébault, Postprocessing scheme for modeling the lithospheric magnetic field, Solid Earth, pp.105-11810, 2013.

F. J. Lowes, Mean-square values on sphere of spherical harmonic vector fields, Journal of Geophysical Research, vol.71, issue.8, p.2179, 1966.
DOI : 10.1029/JZ071i008p02179

T. Maier and C. Mayer, Multiscale downward continuation of CHAMP FGM-data for crustal field modelling, in First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies, pp.288-295, 2003.

S. Maus, An ellipsoidal harmonic representation of Earth's lithospheric magnetic field to degree and order 720, Geochemistry, Geophysics, Geosystems, vol.19, issue.53, pp.10-1029, 2010.
DOI : 10.1029/2010GC003026

S. Maus, H. Lühr, and M. E. Purucker, Simulation of the high-degree lithospheric field recovery for the Swarm constellation of satellites, Earth Planets Space, pp.397-407, 2006.

S. Maus, F. Yin, H. Lühr, C. Manoj, M. Rother et al., Resolution of direction of oceanic magnetic lineations by the sixth-generation lithospheric magnetic field model from CHAMP satellite magnetic measurements, Geochemistry, Geophysics, Geosystems, vol.111, issue.14, pp.10-1029, 2008.
DOI : 10.1029/2008GC001949

N. Olsen, A model of the geomagnetic field and its secular variation for epoch 2000 estimated from ??rsted data, Geophysical Journal International, vol.149, issue.2, pp.454-462, 2000.
DOI : 10.1046/j.1365-246X.2002.01657.x

N. Olsen, M. Mandea, T. J. Sabaka, and L. Toffner-clausen, The CHAOS- 3 Geomagnetic Field Model and Candidates for the 11th Generation of IGRF, Earth Planets Space, pp.719-727, 2010.

N. Olsen, G. Hulot, and T. J. Sabaka, Sources of the geomagnetic field and the modern data that enable their investigation, Handbook of Geomathematics, pp.106-124, 2010.

N. Olsen, K. Glassmeier, and X. Jia, Separation of the Magnetic Field into External and??Internal Parts, Space Science Reviews, vol.82, issue.A11, pp.135-157, 2010.
DOI : 10.1007/s11214-009-9563-0

N. Olsen, E. Friis-christensen, R. Floberghagen, P. Alken, C. Beggan et al., The Swarm Satellite Constellation Application and Research Facility (SCARF) and Swarm data products, Earth, Planets and Space, vol.65, issue.1, pp.1189-1200, 2013.
DOI : 10.5047/eps.2013.07.001

URL : https://hal.archives-ouvertes.fr/insu-01404764

M. Purucker, B. Langlais, N. Olsen, G. Hulot, and M. Mandea, The southern edge of cratonic North America: Evidence from new satellite magnetometer observations, article number 013645, pp.10-1029, 2002.
DOI : 10.1029/2001GL013645

URL : https://hal.archives-ouvertes.fr/insu-01405238

C. Reigber, H. Lühr, and T. Schwintzer, CHAMP mission status, Advances in Space Research, vol.30, issue.2, pp.129-13410, 2002.
DOI : 10.1016/S0273-1177(02)00276-4

M. Rother, V. Lesur, and R. Schachtschneider, An algorithm for deriving core magnetic field models from the Swarm data set, Earth Planets Space, 65, this issue, pp.1223-1231, 2013.

T. J. Sabaka and N. Olsen, Enhancing comprehensive inversions using the Swarm constellation, Earth Planets Space, pp.371-395, 2006.
DOI : 10.1186/bf03351935

URL : http://doi.org/10.1186/bf03351935

T. J. Sabaka, L. Tøffner-clausen, and N. Olsen, Use of the Comprehensive Inversion method for Swarm satellite data analysis, Earth Planets Space, 65, this issue, pp.1201-1222, 2013.

E. B. Saff and A. B. Kuijlaars, Distributing many points on a sphere, The Mathematical Intelligencer, vol.153, issue.1, pp.5-11, 1997.
DOI : 10.1007/BF03024331

C. Shen, Z. J. Rong, and M. Dunlop, Determining the full magnetic field gradient from two spacecraft measurements under special constraints, Journal of Geophysical Research: Space Physics, vol.27, issue.A1, pp.1021710-1029, 2012.
DOI : 10.1029/2002JA009557

N. Schaeffer, Efficient spherical harmonic transforms aimed at pseudospectral numerical simulations, Geochemistry, Geophysics, Geosystems, vol.152, issue.1, pp.751-758, 2013.
DOI : 10.1002/ggge.20071

URL : https://hal.archives-ouvertes.fr/insu-00675145

J. J. Schott and E. Thébault, Modelling the earth's magnetic field from global to regional scales, in Geomagnetic Observations and Models, IAGA Special Sopron Book Series, pp.229-264, 2011.

R. Stockman, C. C. Finlay, and A. Jackson, Imaging Earth's crustal magnetic field with satellite data: a regularized spherical triangle tessellation approach, Geophysical Journal International, vol.179, issue.2, pp.929-944, 2009.
DOI : 10.1111/j.1365-246X.2009.04345.x

E. Thébault, Global lithospheric magnetic field modeling by successive regional analysis, Earth Planets Space, pp.485-495, 2006.

E. Thébault, J. J. Schott, M. Mandea, and J. P. Hoffbeck, A new proposal for spherical cap harmonic modelling, Geophysical Journal International, vol.159, issue.1, pp.83-105, 2004.
DOI : 10.1111/j.1365-246X.2004.02361.x

E. Thébault, J. J. Schott, and M. Mandea, Revised spherical cap harmonic analysis (R-SCHA): Validation and properties, Journal of Geophysical Research, vol.74, issue.14, pp.10-1029, 2006.
DOI : 10.1029/2005JB003836

E. Thébault, K. Hemant, G. Hulot, and N. Olsen, On the geographical distribution of induced time-varying crustal magnetic fields, Geophysical Research Letters, vol.59, issue.15, pp.10-1029, 2009.
DOI : 10.1029/2008GL036416

E. Thébault, M. Purucker, K. Whaler, B. Langlais, and T. J. Sabaka, The Magnetic Field of the Earth???s Lithosphere, Space Science Reviews, vol.13, issue.3, pp.95-127, 2010.
DOI : 10.1007/s11214-010-9667-6

E. Thébault, F. Vervelidou, V. Lesur, and M. Hamoudi, The satellite along-track analysis in planetary magnetism, Geophysical Journal International, vol.188, issue.3, pp.891-907, 2012.
DOI : 10.1111/j.1365-246X.2011.05281.x

A. W. Thomson and V. Lesur, An improved geomagnetic data selection algorithm for global geomagnetic field modelling, Geophysical Journal International, vol.169, issue.3, pp.951-963, 2007.
DOI : 10.1111/j.1365-246X.2007.03354.x

Z. Wang, Understanding models of the geomagnetic field by Fourier analysis., Journal of geomagnetism and geoelectricity, vol.39, issue.6, pp.333-347, 1987.
DOI : 10.5636/jgg.39.333

E. Thébault, e-mail: ethebault@ipgp.fr)