Effective planetary potential and gas accretion

Determine how the choice of effective planetary potential in vertically integrated two-dimensional disk simulations influences gas accretion rates onto gap-opening planets, including whether Bessel-like potentials yield results different from those obtained with Plummer potentials.

Background

The paper compares its three-dimensional simulations, which use a Plummer-smoothed planetary potential, with two-dimensional simulations employing vertically integrated disk models. The authors note that the effective potential appropriate for a vertically integrated disk is not generally equivalent to a Plummer potential and is instead closer to a Bessel potential. Because differences in the adopted potential may contribute to discrepancies between reported accretion rates, the influence of the potential choice remains unresolved and is identified as a subject for future investigation.

References

How the choice of effective potential influences gas accretion rates remains unclear and should be explored in future work.

Cooling-regulated gas accretion onto gap-opening planets  (2608.28019 - Kuwahara et al., 28 Aug 2026) in Section 4.2, comparison to previous work