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Modelling planet-forming circumstellar discs - Herschel

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vertical:<br />

Vertical Structure and Global Iteration<br />

1 ∂p<br />

ρ ∂z<br />

�<br />

radial: Σ(r) =<br />

iterative solution:<br />

= − z GM⋆<br />

(r 2 + z 2 ) 3/2 with p = c 2<br />

T ρ and c 2<br />

T = c 2<br />

T (r, z)<br />

ρ(r, z) dz ∝ r −ɛ<br />

with Mdisk =<br />

+ inner soft edge<br />

or any other law (holes, gaps, ...)<br />

�<br />

2πr Σ(r) dr<br />

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