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Table 3

Best-fit results for three LD models fitted to the Canopus PIONIER data.

PIONIER (H band)
V model from Table 2 V model from Table 2 with bandwidth smearing


Model Parameters (total/V2/CP) Parameters (total/V2/CP)

UD H = 7.020 ± 0.0003 ± 0.029 mas 18.0/12.0/6.0 H = 7.019 ± 0.0001 ± 0.029 mas 17.1/11.1/6.0

Linear H = 7.147 ± 0.0011 ± 0.029 8.8/6.2/2.6 H = 7.146 ± 0.0014 ± 0.029 mas 7.9/5.3/2.6
LD uH = 0.1793 ± 0.0013 uH = 0.1795 ± 0.0017

Power H = 7.186 ± 0.0017 ± 0.029 8.9/6.3/2.6 H = 7.184 ± 0.0017 ± 0.029 mas 7.9/5.3/2.6
law LD αH = 0.1441 ± 0.0014 αH = 0.1438 ± 0.0015

Notes. Best-fit results for three LD models (defined in Table 2) fitted to the Canopus PIONIER data (2698 data points: 1639 squared visibilities, V2, and 1059 closure phases, CP). The best-fit parameter values correspond to medians obtained from the histograms provided by the MCMC fitting tool emcee. The statistical uncertainties (second values), also computed from the histograms, correspond to the commonly adopted 16% and 84% percentiles (± σ in the 68% rule). The third values given for theangular diameters ⊘H are the systematical errors associated with the instrumental wavelength calibration of PIONIER (see Sect. 2.1.3). We give the results obtained with (right) and without (left) considering the bandwidth smearing effect. We also provide the reduced chi-squares, , for the whole data set and for the V2 and CP data alone, allowing the fit quality of the different models to be compared. We accounted for phase wrapping in χ2 computations for CP. The parameters for the power-law LD with bandwidth smearing are indicated in boldface since this is the reference model in this work, better representing Canopus data (see text). By adopting the Hipparcos distance, this reference angular diameter results in a radius of R = 0.5⊘Hd = 73.2 ± 3.9 R for Canopus.

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