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- W2989583162 abstract "Abstract The equation of a magnetic field line (labeled L ) in Dungey's model magnetosphere (dipole field plus uniform southward Δ B ) is r = La [1+( r 3 /2 b 3 )]sin 2 θ , where r denotes geocentric distance, θ denotes magnetic colatitude, a is the Earth's radius, and b is the radius of the field model's equatorial neutral line. This model can be generalized (e.g., to accommodate a ring current) by treating b as a function of L and ϕ (magnetic local time) rather than as a constant, so as to yield measured or calculated values of the equatorial magnetic field B 0 . (In this generalization the equatorial neutral line has a radius b *( ϕ )=(3 a /2) L *( ϕ ) for some particular ϕ -dependent value of L called L *.) This approach yields an estimate for how a specified distortion of equatorial B 0 might map to higher latitudes. It also allows for analytical calculation of the current density J =( c /4 π ) ∇× B at arbitrary latitude. Since charged particles (of scalar momentum p ) scattered strongly in pitch angle satisfy an adiabatic invariant Λ = p 3 Ψ , where Ψ is the flux-tube volume (per unit magnetic flux), it is of interest to approximate (as well as possible) the flux-tube volume Ψ as a function of L and ϕ . By generalizing the calculation of Schulz [1998a. Particle drift and loss rates under strong pitch angle diffusion in Dungey's model magnetosphere. Journal of Geophysical Research 103, 61–67], we have found such an analytical approximation of Ψ for arbitrarily non-constant b and are using it in bounce-averaged transport simulations of diffuse auroral electrons described by a Hamiltonian function in which the kinetic energy is given by [( Λ / Ψ ) 2/3 c 2 +( m 0 c 2 ) 2 ] 1/2 − m 0 c 2 , where m 0 is the rest mass and c is the speed of light." @default.
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- W2989583162 date "2007-05-01" @default.
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- W2989583162 title "Field-Line (Euler-Potential) Model of the Ring Current" @default.
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