Principle of the various perturbative expansions for the grain radial motion. Expanding first with respect to the small pressure gradient (η0R − q + 1 ≪ 1) leads to NSH86 equations. Expanding first with respect to the grain sizes (S0Rp ≪ 1 or S0Rp ≫ 1) leads to W77 expressions for the particular case p = 0. Combining both leads to the A- and B-mode, respectively for small and large grains.
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