Towards direct imaging and orbital parameter estimation of supermassive black hole binaries with spaceborne VLBI

Home

All issues

Volume 711 (July 2026)

A&A, 711 (2026) A293

Full HTML

Open Access

Table C.3

Supplementary test case summary.

Case	F_ν,tot [Jy]	q	P_obs [yr]	Separation [µas]	e [-]	i [°]	M [10⁸ M_⊙]	FWHM_1/2 [µas]
4	0.03/0.02	0.6	4.41	15	0	0	17.3	2/1.6
5	0.47/0.03	0.06	5	10	0	0	3.37	5/0.3
6	0.03/0.02	1	10	r_p = 7.5, r_a = 22.5	0.5	80	3.37	2/2
7	0.03/0.02	1	30	30	0	0	3.00	2/2

	νL_ν [ergs⁻¹]	$χ_{a m p}^{2}$ $Mathematical equation: $\chi^2_{amp}$$	$χ_{c p}^{2}$ $Mathematical equation: $\chi^2_{cp}$$	$χ_{a m p, s i n}^{2}$ $Mathematical equation: $\chi^2_{amp,sin}$$	$χ_{c p, s i n}^{2}$ $Mathematical equation: $\chi^2_{cp,sin}$$	σ_pos,av [µas]	$χ_{o r b}^{2}$ $Mathematical equation: $\chi^2_{orb}$$	FAR [%]
4	6.07/4.05 × 10⁴¹	0.11	0.02	0.48	0.27	2.39	0.02	48
5	9.90/0.55 × 10⁴²	0.03	0.24	0.47	0.36	0.12	0.06	0
6	5.54/3.68×1O⁴¹	0.20	0.21	7.27	0.38	0.64	0.02	81
7	5.54/3.68×10⁴¹	0.08	0.05	0.91	0.17	1.16	0.14	100

Notes. For all cases, Ω, ω and τ are set to 0, as they are expected to have less impact on the orbit fitting than the varied parameters. $χ_{a m p}^{2}$ $Mathematical equation: $\chi^2_{amp}$$ and $χ_{c p}^{2}$ $Mathematical equation: $\chi^2_{cp}$$ describe the average goodness of fit of the binary Gaussian model in amplitude and closure phase to the observed data in eht-imaging, across the three observation epochs. The subscript sin describes the χ² values for fitting a single Gaussian source to the observed data. $χ_{o r b}^{2}$ $Mathematical equation: $\chi^2_{orb}$$ describes the goodness of fit of the MAP orbital solution.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.