Physics
Scientific paper
Dec 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agufmsm13a0318s&link_type=abstract
American Geophysical Union, Fall Meeting 2005, abstract #SM13A-0318
Physics
2411 Electric Fields (2712), 2447 Modeling And Forecasting, 2712 Electric Fields (2411), 2736 Magnetosphere/Ionosphere Interactions (2431), 2776 Polar Cap Phenomena
Scientific paper
In some simple models of magnetospheric electrodynamics [e.g., Volland, 1975], the normal component of the convection electric field E is discontinuous across the boundary between closed and open magnetic field lines. The requisite discontinuity in E is achieved by making the electrostatic scalar potential proportional to a positive power (typically 1 or 2) of L on closed field lines and to a negative power (typically -1/2) of L on open (i.e., polar-cap) field lines. It may be advantageous to construct more realistic (and thus more complicated) magnetospheric and ionospheric electric-field models from superpositions of (not necessarily orthogonal) functions having this same analytical property (i.e., discontinuity of derivative at L = L*, the boundary surface between closed and open magnetic field lines). For an ionosphere with realistically situated polar caps, such analytical functions would reasonably involve powers of the cosine function of a magnetic quasi-latitude and sines or cosines of integer multiples of a quasi-MLT variable, both coordinates being defined in terms of a coordinate-potential function held constant (at values equal in magnitude but opposite in sign) on the boundaries between closed and open magnetic field lines. Quasi-latitudes in this construction are contours of constant coordinate potential, and quasi-MLT contours are "streamline" trajectories orthogonal to the coordinate equipotentials.
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