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Fig. 5

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Exact (see Eq. (29)) and approximate (see Eq. (30)) vertical density profiles for a disk with aspect ratio h = 0.05 for short distance s to a planet with mass ratio q = 6 × 10-5. The exact profiles are shown by the solid lines and the corresponding approximate ones in the same color but with dashed lines. For comparison the unperturbed Gaussian profile (see Eq. (10)) is shown in black for this H/r.

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