Journey to the center of the common envelope evolution - Inner dynamics of the post-dynamical inspiral

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Volume 697 (May 2025)

A&A, 697 (2025) A68

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Table 1.

Simulation parameters and results.

Model	Max level	$δ [10^{- 3} a_{b}^{i}]$ $\delta \ [10^{-3} a_{\rm b} ^i]$	Softening	$ϵ [a_{b}^{i}]$ $\epsilon \ [a_{\rm b} ^i]$	q	$τ_{a_{b}} [10^{4} P_{orb}^{i}]$ $\tau _{{a_{\rm b}}}\ [10^4 P_{\rm orb}^i]$	$〈 \| \dot{γ_{xy} \|} 〉 [Ω_{orb}^{i}]$ $\langle \|{\dot {\gamma _{xy}\|}}\rangle \ [\Omega _{\rm orb}^i]$	Orbit	$a_{b}^{i}$ $a_{\rm b} ^i$	$a_{b}^{f}$ $a_{\rm b} ^f$
E05.S.f.q1	7	6.104	Spline	0.5	1	10.68	1.738	fixed	1	1
E02.S.f.q1.vlr	3	97.66	Spline	0.2	1	22.26	0.6657	fixed	1	1
E02.S.f.q1.lr	4	48.83	Spline	0.2	1	17.99	0.7626	fixed	1	1
E02.S.f.q1	7	6.104	Spline	0.2	1	12.85	1.822	fixed	1	1
E01.S.f.q1	7	6.104	Spline	0.1	1	16.40	2.368	fixed	1	1
E005.S.f.q1	7	6.104	Spline	0.05	1	10.23	2.395	fixed	1	1
E005.S.f.q1.hr	8	3.052	Spline	0.05	1	15.84	2.730	fixed	1	1

E05.S.l.q1	6	12.21	Spline	0.5	1	138.6	0.4942	live	1	0.7014
E02.S.l.q1	6	12.21	Spline	0.2	1	154.3	0.5764	live	1	0.6943
E005.S.l.q1	8	3.052	Spline	0.05	1	136.2	1.374	live	1	0.6930

E05.S.l.q03	6	12.21	Spline	0.5	1/3	5.397	0.4963	live	1	0.4989
E03.S.l.q03	6	12.21	Spline	0.3	1/3	7.655	0.6429	live	1	0.4717
E02.S.l.q03	6	12.21	Spline	0.2	1/3	8.518	0.6792	live	1	0.4721
R.l.q03.lr	3	97.66	Ruffert	3δ	1/3	141.8	0.5592	live	1	0.6605
E02.S.l.q03.lr	4	48.83	Spline	0.2	1/3	32.14	0.7852	live	1	0.5745
E01.S.l.q03	7	6.104	Spline	0.1	1/3	9.370	0.8464	live	1	0.4754
E01.R.l.q03	7	6.104	Ruffert	0.1	1/3	8.654	0.9967	live	1	0.4825
E005.S.l.q03	8	3.052	Spline	0.05	1/3	9.491	1.393	live	1	0.4842

Notes. The orbital separation evolution timescale, $τ_{a_{b}} = 〈 \dot{a_{b}} / a_{b} 〉^{- 1}$ $\tau _{{a_{\rm b}}} = \langle {\dot {{a_{\rm b}}}}/ {a_{\rm b}}\rangle ^{-1}$ and the horizontal shear rate, $〈 | \dot{γ_{xy} |} 〉$ $\langle |{\dot {\gamma _{xy}|}}\rangle$ are averaged over the last 500 orbits for live simulations, and the last 50 orbits for simulations with fixed orbits. $a_{b}^{f}$ $a_{\rm b} ^f$ is the orbital separation measured after 2125 binary orbits. q=M₂/M₁ is the binary's mass ratio.

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