Table 3
Best-fit values, 1 Δχ2 confidence ranges, and definition of the sampling grid for the LkCa 15 model parameters.
| K1 | K2 | K3 | K4 | all epochs | |||||||
| Parameter | Search grid | best | range | best | range | best | range | best | range | best | range |
|
|
|||||||||||
| Radius r = 56 AU /f | 43.1...70.0 | 61.0 | [53.1, 67.7] | 54.8 | [44.7, 67.5] | 54.8 | [49.5, 62.3] | 56.2 | [49.6, 63.0] | 56.3 | [52.0, 62.6] |
| Inclination i (°) | 28, 30, ..., 70 | 51 | [46, 57] | 54 | [43, 62] | 47 | [43, 53] | 44 | [36, 52] | 50 | [44, 54] |
| Henyey-Greenstein g | 0.45, 0.50, ..., 0.90 | 0.60 | [0.45, 0.76] | 0.86 | [0.67, 0.90] | 0.72 | [0.55, 0.90] | 0.60 | [0.45, 0.84] | 0.67 | [0.56, 0.85] |
| Wall shape w | 0.05, 0.10, ..., 0.40 | 0.30 | [0.05, 0.38] | 0.31 | [0.05, 0.40] | 0.27 | [0.05, 0.36] | 0.32 | [0.17, 0.40] | 0.31 | [0.19, 0.36] |
| Inner disk settling s | 0, 0.5, 1 | 0 | ≪ 1 | 0 | ≪ 1 | 0 | ≪ 1 | 0 | ≪ 1 | 0 | ≪ 1 |
| Offset x (mas)(1) | −24, −16, ..., + 128 | + 11 | [−14, + 36] | + 73 | [+ 40, + 105] | + 10 | [−12, + 31] | + 44 | [+ 11, + 79] | + 27 | [+ 7, + 46] |
| –, (AU) | −3, −2, ..., + 18 | + 1 | [−2, + 5] | + 10 | [+ 6, + 15] | + 1 | [−2, + 4] | + 6 | [+ 2, + 11] | + 4 | [+ 1, + 6] |
| Offset y (mas) | −140, −130, ..., 0 | −64 | [−111, −27] | −64 | [−140, −6] | −84 | [−131, −40] | −100 | [−140,−47] | −69 | [−118, −44] |
| –, deprojected (AU) | −41, −39, ..., 0 | −14 | [−24, −6] | −14 | [−30, −1] | −18 | [−29, −9] | −22 | [−30, −10] | −15 | [−26, −10] |
| Orientation o (°)(1) | 142, 143, ..., 159 | 148 | [144, 152] | 151 | [145, 156] | 151 | [147, 155] | 150 | [145, 157] | 150 | [147, 153] |
| Flux ratio c(%) | least-squares fitting | 3.1(2) | [2.8, 3.6] | 2.9(2) | [2.5, 4.2] | 2.6 | [2.2, 2.9] | 2.3 | [1.7, 2.5] | – | |
Notes. (1) The parameters x and o were not sampled as part of the brute-force grid calculation but in a separate analysis beforehand. (2) Disk/star contrast measurements from epochs K1 and K2 are unreliable, since the target star is saturated in the science data. (3) Where the well fitting ranges exceed the bounds of the sampled parameter grid, the grid bounds are listed (in italics). Note that the range of the combination of all four epochs (last column) is fully enclosed in the grid.
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