Influence of planetary gas accretion on the shape and depth of gaps in protoplanetary discs

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Table 2

Depth of the initial gap and time needed to reach the equilibrium as a function of the disc parameters.

Parameters	α	Σ∕Σ_unp	t_gap,init in orbits
h = 0.03	10⁻²	0.7414	500
m_init = 20 M_⊕

	2 × 10⁻²	0.9823	100
h = 0.05	10⁻²	0.9678	100
m_init = 20 M_⊕	10⁻³	0.7317	900
	10⁻⁴	0.2949	3300

	10⁻²	0.9953	100
h = 0.07	5 × 10⁻³	0.9923	100
m_init = 20 M_⊕	10⁻³	0.9644	300
	10⁻⁴	0.7795	1700

h = 0.03	10⁻²	0.8912	300
m_init = 10 M_⊕	10⁻³	0.4859	1300
	5 × 10⁻⁴	0.3408	1900

Notes. Lower viscosities (ν = αhRc_s) imply deeper initial gap and larger gap opening times. For h = 0.03, we used two different initial masses: m_init = 20 M_⊕ in Sect. 4.1 to compare with higher aspect ratios but m_init = 10 M_⊕ in Sect. 4.3 as a 20 M_⊕ already opens a deep gap at low viscosities.

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