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Planets open gaps in discs. Gap opening is typically modeled by consideringthe planetary Lindblad torque which repels disc gas away from the planet'sorbit. But gaps also clear because the planet consumes local material. Wepresent a simple, easy-to-use, analytic framework for calculating how gapsdeplete and how the disc's structure as a whole changes by the combined actionof Lindblad repulsion and planetary consumption. The final mass to which agap-embedded gas giant grows is derived in tandem. The analytics are testedagainst 1D numerical experiments and calibrated using publishedmulti-dimensional simulations. In viscous alpha discs, the planet, whileclearing a gap, initially accretes practically all of the gas that tries todiffuse past, rapidly achieving super-Jupiter if not brown dwarf status. Bycontrast, in inviscid discs---that may still accrete onto their central starsby, say, magnetized winds---planets open deep, repulsion-dominated gaps. Thenonly a small fraction of the disc accretion flow is diverted onto the planet,which grows to a fraction of a Jupiter mass. Transitional disc cavities mightbe cleared by families of such low-mass objects opening inviscid,repulsion-dominated, overlapping gaps which allow most of the outer disc gas toflow unimpeded onto host stars.

How Consumption and Repulsion Set Planetary Gap Depths and the Final Masses of Gas Giants