Radiating Bondi Flows I: Dimensionless Framework and Constant Opacity Solutions

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ID: 330720
2026
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Abstract
Abstract In this paper, we extend the physics of Bondi accretion to include the effects of radiative feedback in gas-pressure-dominated environments. We construct steady-state spherically symmetric accretion solutions including radiative heating and cooling. Under the simplifying assumption of a constant opacity, the solutions are controlled by four dimensionless parameters: the adiabatic index γ, optical depth through the Bondi radius τB, dimensionless luminosity at infinity $\tilde{L}_\infty$, and a characteristic dimensionless cooling time β. We present numerical solutions across the dimensionless parameter space $(\tau _B, \tilde{L}_\infty , \beta )\in [10^{-3}, 10^3]$. Contrary to radiation-pressure-dominated environments, radiative feedback primarily operates to suppress accretion – particularly at high τB, $\tilde{L}_\infty$, and/or β. We also present analytic descriptions confirming the suppressive nature of this feedback and give the scalings for the accretion rate $\dot{M}\sim \tilde{L}_\infty ^{-5/4}$ at large $\tilde{L}_\infty$, $\dot{M}\sim \tau _B^{-10/11}\beta ^{-5/11}$ at large τB, and $\dot{M}\sim (\tilde{L}_\infty \tau _B)^{-5/8}$ for large $\tilde{L}_\infty \tau _B$. We discuss the potential role of convection in these steady-state solutions, and the particular relevance to problems of planet formation where radiative heating is significant, but the system remains in the gas-pressure-dominated regime.
Reference Key
openalex_W7140167827 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Avery P. Bailey, Andrew N. Youdin, Kaitlin Kratter
Journal monthly notices of the royal astronomical society
Year 2026
DOI
10.1093/mnras/stag1835
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