Special Issue: Lunar Science with the SELENE “Kaguya” Mission-Prelaunch Studies-
- Open Access
Equivalent source mapping of the lunar crustal magnetic field using ABIC
Earth, Planets and Space volume 60, pages 365–373 (2008)
An objective scheme is presented for estimating the lunar crustal magnetic field from the LMAG (Lunar MAGnetometer) data of the SELENE (“KAGUYA”) spacecraft. Our scheme improves the equivalent source method in three respects. The first improvement is that the source calculation is performed simultaneously with detrending. The second is that a great number of magnetic charges (magnetic monopoles) are used as the equivalent sources. The third is that the distribution of the magnetic charges is detremined by the damped least squares method, and the optimum smoothness is determined objectively by minimizing Akaike’s Bayesian Information Criterion (ABIC). For testing the scheme, we apply it to the Lunar Prospector magnetometer data in the region centered at the Reiner Gamma magnetic anomaly. The magnetic field map at an altitude of 20 km is stably drawn from datasets for different altitudes (18 km and 34 km). The ABIC minimizing criterion successfully controls the smoothness due to the numerical damping and extracts as much information as possible from the given data. This scheme will help produce a coherent lunar magnetic anomaly map by integrating the observations from various altitudes of the SELENE and previous missions.
Akaike, H., Likelihood and the Bayes procedure, in Bayesian Statistics, edited by J. M. Bernard, M. H. Degroot, D. V. Lindley, and A. F. M. Smith, pp. 143–166, Univ. Valencia, Spain, 1980.
Anderson, E., Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov, and D. Sorensen, LAPACK User’s Guide Second Edition, 260 pp., Society for Industrial and Applied Mathematics, Philadelphia, 1995.
Chiao, L. Y., J. R. Lin, and Y. C. Gung, Crustal magnetization equivalent source model of Mars constructed from a hierarchical multiresolution inversion of the Mars Global Surveyor data, J. Geophys. Res., 111, E12010, doi:10.1029/2006JE002725, 2006.
Dyment, J. and J. Arkani-Hamed, Equivalent Source Magnetic Dipoles Revisited, Geophys. Res. Lett., 25, 2003–2006, 1998.
Hood, L. L., P. J. Coleman Jr., and D. E. Wilhelms, Lunar nearside magnetic anomalies, Proc. Lunar Planet. Sci. Conf., 10th, 2235–2257, 1979.
Hood, L. L., C. T. Russell, and P. J. Coleman Jr., Contour maps of lunar remanent magnetic fields, J. Geophys. Res., 86, 1055–1069, 1981.
Hood, L. L., A. Zakharian, J. Halekas, D. L. Mitchell, R. P. Lin, M. H. Acuna, and A. B. Binder, Initial mapping and interpretation of lunar crustal magnetic anomalies using Lunar Prospector magnetometer data, J. Geophys. Res., 106, 27825–27839, 2001.
Kurata, M., H. Tsunakawa, Y. Saito, H. Shibuya, M. Matsushima, and H. Shimizu, Mini-magnetosphere over the Reiner Gamma magnetic anomaly region on the Moon, Geophys. Res. Lett., 32, L24205, doi:10.1029/2005GL0244097, 2005.
Langlais, B., M. Purucker, and M. Mandea, Crustal magnetic field of Mars, J. Geophys. Res.-Planets, 109, E02008, doi:10.1029/2003JE002048, 2004.
Nicolosi, I., I. Blanco-Montenegro, A. Pignatelli, and M. Chiappini, Estimating the magnetization direction of crustal structures by means of an equivalent source algorithm, Phys. Earth Planet. Inter., 155, 163–169, 2006.
Oda, H. and H. Shibuya, Deconvolution of long-core paleomagnetic data of Ocean Drilling Program by Akaike’s Bayesian Information Criterion minimization, J. Geophys. Res., 101, 2815–2834, 1996.
Purucker, M., D. Ravat, H. Frey, C. Voorhies, T. Sabaka, and M. Acuna, An altitude-normalized magnetic map of Mars and its interpretation, Geophys. Res. Lett., 27, 2449–2452, 2000.
Purucker, M., T. Sabaka, N. Tsyganenko, N. Olsen, J. Halekas, and M. Acuna, The Lunar magnetic field environment: Interpretation of new maps of the internal and external fields, Lunar Planet. Sci., XXXVII, abstract 1933, 2006.
Richmond, N. C. and L. L. Hood, A preliminary global map of the vector lunar crustal magnetic field based on Lunar Prospector magnetometer data, J. Geophys. Res., 2007 (in press).
Richmond, N. C., L. L. Hood, J. S. Halekas, D. L. Mitchell, R. P. Lin, M. H. Acuna, and A. B. Binder, Correlation of a strong lunar magnetic anomaly with a high-albedo region of the Descartes mountains, Geophys. Res. Lett., 30, 1395, doi:10.1029/2003GL016938, 2003.
Richmond, N. C., L. L. Hood, D. L. Mitchell, R. P. Lin, M. H. Acuna, and A. B. Binder, Correlations between magnetic anomalies and surface geology antipodal to lunar impact basins, J. Geophys. Res., 110, E05011, doi:10.1029/2005JE002405, 2005.
Schaler, E. W. and M. E. Purucker, Lunar south pole hydrogen & water ice deposits: Constraints from Lunar Prospector magnetic field observations, Lunar Planet. Sci., XXXVIII, abstract 1034, 2007.
Shimizu, H., F. Takahashi, N. Horii, A. Matsuoka, M. Matsushima, H. Shibuya, and H. Tsunakawa, Ground calibration of the high-sensitivity SELENE lunar magnetometer LMAG, Earth Planets Space, 60, this issue, 353–363, 2008.
About this article
Cite this article
Toyoshima, M., Shibuya, H., Matsushima, M. et al. Equivalent source mapping of the lunar crustal magnetic field using ABIC. Earth Planet Sp 60, 365–373 (2008). https://doi.org/10.1186/BF03352801
- Equivalent source
- lunar crustal magnetic field
- Reiner Gamma