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Fig. 9.

Fig. 9. Refer to the following caption and surrounding text.

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Normalized hydrostatic-centrifugal balance residual R = P + ρ Φ 2 ( u φ * sin θ * ) 2 / d / max ( P , ρ Φ 2 ( u φ * sin θ * ) 2 / d ) Mathematical equation: $ R = \left\lVert \nabla P + \rho \nabla \Phi_2 - (u_{\varphi}^{\ast} \sin \theta^{\ast})^2/d\right\rVert/\max \left(\lVert \nabla P \rVert, \lVert \rho \nabla \Phi_2 - (u_{\varphi}^{\ast} \sin \theta^{\ast})^2/d \rVert\right) $ profiles along radial rays from the companion for rotating and stratified simulations with ϵρ = 3. Top panels: Non-accreting simulation. Bottom panels: Run with δ = 1 and γ = 1000. R is time-averaged within t [ 99 , 100 ] R a / u Mathematical equation: $ t \in [99, 100]\,\widetilde{R_a}/u_{\infty} $.

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