Self-gravity in thin discs and edge effects: an extension of Paczynski’s approximation

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Fig. 11

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Relative error on the vertical field when computed from Eq. (37) (i.e. the zero-order extension of Paczynski’s formula) for the same parameters as for model 3 defined in Table 1, but for different power-law exponents s in the range [−4,1] (contour lines every 0.01).

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