Mv

Consequently, the equation of motion for a particle of momentum p, Lorentz factor Y, mass m, and charge q, dp = qSE + p x(Bo + ¿B) (2.21.5)

dt mcY

can be averaged on the short timescale Q 1 (Ragot, 1999b) and for fast magnetosonic waves turbulence:

cos 0k 0

with y/k = kx -mkt + ak, k the norm of the wave-vector, n the cosine of the angle between k and Bo, and tpk the angle between k and the plane (x, z), the z-axis being along Bo . Once averaged, the equation for the pitch-angle cosine,

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