scholarly journals Circular Current Loops, Magnetic Dipoles and Spherical Harmonic Analyses

1980 ◽  
Vol 32 (6) ◽  
pp. 357-364 ◽  
Author(s):  
Leroy R. ALLDREDGE
Keyword(s):  
Spherical Harmonic ◽  
Magnetic Dipoles ◽  
Circular Current ◽  
Harmonic Analyses

scholarly journals SPHERICAL HARMONIC ANALYSES OF INTENSITY MAPPING POWER SPECTRA

2016 ◽  
Vol 833 (2) ◽  
pp. 242 ◽  
Author(s):  
Adrian Liu ◽  
Yunfan Zhang ◽  
Aaron R. Parsons
Keyword(s):  
Spherical Harmonic ◽  
Power Spectra ◽  
Intensity Mapping ◽  
Harmonic Analyses

Equipotential transformation from multipole systems to dipole systems

1987 ◽  
Vol 414 (1847) ◽  
pp. 359-369
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Spherical Harmonic ◽  
Magnetic Moments ◽  
Numerical Comparison ◽  
Magnetic Dipoles ◽  
Planetary Magnetic Fields ◽  
Vector Sum ◽  
Planetary Magnetic Field ◽  
Good Agreement

The paper shows that a planetary magnetic field expressed in the conventional form of a spherical harmonic expanson can be completely represented by the vector sum of fields produced by a set of magnetic dipoles with different magnetic moments, tilted from the planetary spin axis and offset from the planetary centre by different amounts. For convenience, the transformation from multipole systems to dipole systems is restricted to that from multipoles up to octupole to five dipoles. The scalar equipotential transformation analytically results in 24 equations; these can be subsequently solved for the 24 adjustable parameters in dipole systems with the predetermined ‘main dipole’. The numerical comparison of the jovian magnetic field between the jovian O 4 and the five-dipole models reveals a very good agreement with the subtle details. It is obvious that this type of transformation would open up the simplest practical way to simulate planetary magnetic fields with the dipole patterns.

scholarly journals Spherical Harmonic Analyses for the Spheroidal Earth

1964 ◽  
Vol 16 (4) ◽  
pp. 229-237 ◽  
Author(s):  
A. B. KAHLE ◽  
J. W. KERN ◽  
E. H. VESTINE
Keyword(s):  
Spherical Harmonic ◽  
Harmonic Analyses

scholarly journals Integral and Spherical-Harmonic Analyses of the Geomagnetic Field for 1955.0, PART 2

1963 ◽  
Vol 15 (2) ◽  
pp. 73-89 ◽  
Author(s):  
E. H. VESTINE ◽  
W. L. SIBLEY ◽  
J. W. KERN ◽  
J. L. CARLSTEDT
Keyword(s):  
Spherical Harmonic ◽  
Geomagnetic Field ◽  
Harmonic Analyses

Spherical harmonic analyses of the palaeomagnetic field

1973 ◽  
Vol 18 (1) ◽  
pp. 141-147 ◽  
Author(s):  
N.P. Benkova ◽  
A.N. Khramov ◽  
T.N. Cherevko ◽  
N.V. Adam
Keyword(s):  
Spherical Harmonic ◽  
Harmonic Analyses

scholarly journals Spherical Harmonic Analyses for the Spheroidal Earth (II)

1966 ◽  
Vol 18 (3) ◽  
pp. 349-354 ◽  
Author(s):  
A. B. KAHLE ◽  
J. W. KERN ◽  
E. H. VESTINE
Keyword(s):  
Spherical Harmonic ◽  
Harmonic Analyses
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