Mathematical representation of the auroral oval

Details Mathematical representation of the auroral oval Mathematical representation of the auroral oval

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975georl...2..377h&link_type=abstract

Geophysical Research Letters, vol. 2, Sept. 1975, p. 377-380.

Physics

55

Auroral Zones, Curve Fitting, Dynamic Characteristics, Fourier Series, Error Analysis, Interplanetary Magnetic Fields, Night Sky, Satellite-Borne Photography

Scientific paper

A curve fitting procedure for mathematically representing the auroral oval is described. It is shown that the Feldstein ovals and quiet auroral ovals of the night side in DMSP photographs can be approximated by an offset circle, plus a small (less than about one degree in magnitude) Fourier component in corrected geomagnetic coordinates. Parameters are introduced, Theta and (theta-O, phi-O), that indicate the dynamic motion of the auroral oval size and center location, respectively. Using the parameter Theta, an analysis of several DMSP photographs shows a strong correlation between the southward interplanetary magnetic field (-B sub z) and the size of the auroral oval.

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