Derivation of a geomagnetic model to n=63

SUMMARY A high degree model of the geomagnetic fielc is derived using an integral technique to extend coefficients beyond the limits allowable with least squares approaches. A previously derived model to n = 29 was first updated with new secular change data for the interval 1979 September-1980 June combined with the previously obtained analysis set of Magsat vector data. Residuals of a new selection of observed vector Magsat data were then analysed by solving for ionospheric-magnetospheric variations and removing their effect. The reduced B, components were then averaged over approximately 3” X 3” blocks of latitude and longitude, and coefficients derived using the Neumann method. These coefficients, when combined with those from the least squares solution, were seen to show significantly greater detail in the structure of the geomagnetic field which appeared to be realistic to n = 50.

[1]  Robert A. Langel,et al.  The magnetic Earth as seen from MAGSAT, initial results , 1982 .

[2]  J. Cain,et al.  The Geomagnetic Spectrum For 1980 and Core‐Crustal Separation , 1989 .

[3]  J. Cain,et al.  The use of Magsat data to determine secular variation , 1983 .

[4]  D. Barraclough International geomagnetic reference field: the fourth generation , 1987 .

[5]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[6]  J. Cain,et al.  Evaluation of the 1985-1990 IGRF secular variation candidates , 1987 .

[7]  T. Iyemori,et al.  Geomagnetic perturbations at low latitudes observed by Magsat , 1985 .

[8]  M. Kono,et al.  Mean ionospheric field correction for Magsat data , 1985 .

[9]  J. Cain,et al.  Geomagnetic spherical harmonic analyses: 1. Techniques , 1983 .

[10]  J. Cain,et al.  Application of dipole modeling to magnetic anomalies , 1982 .

[11]  N. W. Peddie International geomagnetic reference field revision 1985 , 1986 .

[12]  A. H. Stroud,et al.  Numerical Quadrature and Solution of Ordinary Differential Equations: A Textbook for a Beginning Course in Numerical Analysis , 1974 .

[13]  Philip Rabinowitz,et al.  Methods of Numerical Integration , 1985 .

[14]  Zhigang Wang Understanding models of the geomagnetic field by Fourier analysis. , 1987 .

[15]  J. Cain,et al.  Modelling the Earth's geomagnetic field to high degree and order , 1989 .

[16]  R. Brammer,et al.  Spatial resolution and repeatability of MAGSAT crustal anomaly data over the Indian Ocean , 1982 .

[17]  R. J. Horner,et al.  Initial vector magnetic anomaly map from Magsat , 1982 .

[18]  J. Cain,et al.  Small-scale features in the Earth's magnetic field observed by Magsat. , 1984 .

[19]  J. Arkani‐Hamed,et al.  Band‐limited global scalar magnetic anomaly map of the Earth derived from Magsat data , 1986 .

[20]  A. Stroud,et al.  Gaussian quadrature formulas , 1966 .

[21]  D. C. Jensen,et al.  An evaluation of the main geomagnetic field, 1940–1962 , 1965 .

[22]  Robert A. Langel,et al.  Introduction to the special issue - A perspective on Magsat results , 1985 .