Table A.1
Summary of the parametric modeling (combinations of radial and vertical functional forms and the number of free parameters Np) for each source.
| Source | Radial Form | Vertical Form | Np | AIC Conf. | ∆BIC | Fiducial Model Parameters | |
|---|---|---|---|---|---|---|---|
| Best-Fit | 50th Percentile | ||||||
| αin = 2.11 | ![]() |
||||||
| αout = −1.48 | ![]() |
||||||
| DPL | vG | 10 | 7.52 | 60.62 | Rc - 107 au | ![]() |
|
| DG | vG | 12 | > 10 | 99.18 | hHWHM = 0.041 | ![]() |
|
| HD 9672 | DPL | vE | 11 | 7.76 | 77.54 | Σc = −4.170 | ![]() |
| DPL | vL | 10 | 0.27 | 0 | PA = 107.72° | ![]() |
|
| DPL | vDG | 12 | 0 | 25.81 | dRA = 0.″039 | ![]() |
|
| dDec = −0.″035 | ![]() |
||||||
| i = 80.03° | ![]() |
||||||
| F* = 5.2 × 10−6 Jy | ![]() |
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| R1 = 87.9 au | ![]() |
||||||
| R2 = 142.4 au | ![]() |
||||||
| σ1 = 10.4 au | ![]() |
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| DPL | vG | 10 | > 10 | > 100 | σ2 = 36.3 au | ![]() |
|
| DG | vG | 12 | > 10 | > 100 | C1 = 0.650 | ![]() |
|
| DPL | vE | 11 | > 10 | > 100 | hHWHM1 = 0.052 | ![]() |
|
| HD 10647 | DG | vE | 13 | > 10 | > 100 | hHWHM2 = 0.226 | ![]() |
| DPL | vL | 10 | 6.15 | 0 | Cvert = 0.91 | ![]() |
|
| DG | vL | 12 | 7.74 | 47.94 | Σc = −4.406 | ![]() |
|
| DPL | vDG | 12 | > 10 | > 100 | PA = 57.1° | ![]() |
|
| DG | vDG | 14 | 0 | 9.04 | dRA = 0.″093 | ![]() |
|
| dDec = 0.″016 | ![]() |
||||||
| i = 78.74° | ![]() |
||||||
| F* = 146 × 10−6 Jy | ![]() |
||||||
| αin = 1.31 | ![]() |
||||||
| DPL | vG | 10 | 0.56 | 0 | αout = −3.43 | ![]() |
|
| DG | vG | 12 | 0.27 | 25.92 | Rc = 177 au | ![]() |
|
| DPL | vE | 11 | 1.12 | 14.83 | hHWHM = 0.059 | ![]() |
|
| HD 14055 | DG | vE | 13 | 0 | 38.72 | Σc = −5.051 | ![]() |
| DPL | vL | 10 | 1.62 | 3.38 | PA = 161.44° | ![]() |
|
| DG | vL | 12 | 1.46 | 29.32 | dRA = −0.″066 | ![]() |
|
| DPL | vDG | 12 | 1.59 | 29.83 | dDec = −0.″064 | ![]() |
|
| DG | vDG | 14 | 1.07 | 54.50 | i = 80.0° | ![]() |
|
| F* = 1.00 × 10−4 Jy | ![]() |
||||||
| R1 = 97.83 au | ![]() |
||||||
| R2 = 65.94 au | ![]() |
||||||
| DPL | vG | 10 | > 10 | > 100 | σ1 = 4.68 au | ![]() |
|
| DG | vG | 12 | 6.94 | 52.55 | σ2 = 1.88 au | ![]() |
|
| DPL | vE | 11 | > 10 | > 100 | C1 = 0.78 | ![]() |
|
| HD15115 | hHWHM= 0.021 | ![]() |
|||||
| Σc=− 3.427 | ![]() |
||||||
| DG | vL | 12 | 0 | 0 | PA = 98.458° | ![]() |
|
| DPL | vDG | 12 | > 10 | > 100 | dRA = 0.″038 | ![]() |
|
| DG | vDG | 14 | 2.05 | 34.56 | dDec = − 0.″014 | ![]() |
|
| i = 86.74° | ![]() |
||||||
| F* = 3.3 × 10−5 Jy | ![]() |
||||||
| αin = 71 | ![]() |
||||||
| DPL | vG | 10 | 3.02 | 11.96 | αout = −6.4 | ![]() |
|
| DG | vG | 12 | 5.27 | 57.36 | Rc = 105.2 au | ![]() |
|
| DPL | vE | 11 | 2.24 | 20.24 | hHWHM = 0.0098 | ![]() |
|
| HD 32297 | DG | vE | 13 | 5.09 | 68.34 | Σc = −2.709 | ![]() |
| DPL | vL | 10 | 0 | 0 | PA = 47.50° | ![]() |
|
| DG | vL | 12 | 4.33 | 47.98 | dRA = 0.″0201 | ![]() |
|
| DPL | vDG | 12 | 0.97 | 27.95 | dDec = 0.″0152 | ![]() |
|
| i = 88.48° | ![]() |
||||||
| F* = 1.1 × 10−5 Jy | ![]() |
||||||
| αin = 1.82 | ![]() |
||||||
| αout = −5.4 | ![]() |
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| Rc = 125 au | ![]() |
||||||
| DPL | vG | 10 | > 10 | > 100 | hHWHM = 0.112 | ![]() |
|
| HD 39060 (Beta Pic) | DPL | vE | 11 | > 10 | 91.82 | Σc = −4.020 | ![]() |
| DPL | vL | 10 | 1.55 | 0 | PA = 29.76° | ![]() |
|
| DPL | vDG | 12 | 0 | 22.85 | dRA = −0.″021 | ![]() |
|
| dDec = −0.″007 | ![]() |
||||||
| i = 87.65° | ![]() |
||||||
| F* = 7.5 × 10−5 Jy | ![]() |
||||||
| R1 = 69.0 au | ![]() |
||||||
| R2 = 97 au | ![]() |
||||||
| σ1 = 7.8 au | ![]() |
||||||
| DPL | vG | 10 | 6.81 | 25.66 | σ2 = 29.4 au | ![]() |
|
| DG | vG | 12 | 2.64 | 9.61 | C1 = 0.839 | ![]() |
|
| HD 61005 | TG | vG | 15 | 3.13 | 50.28 | hHWHM = 0.0129 | ![]() |
| DG | vE | 13 | 3.03 | 24.52 | Σc = −3.351 | ![]() |
|
| DG | vL | 12 | 0 | 0 | PA = 70.286° | ![]() |
|
| DG | vDG | 14 | 1.31 | 28.36 | dRA = 0.″002 | ![]() |
|
| dDec = −0.″017 | ![]() |
||||||
| i = 86.23° | ![]() |
||||||
| F* = 2.3 × 10−6 Jy | ![]() |
||||||
| DPL | vG | 10 | 7.99 | 68.74 | |||
| DG | vG | 12 | 8.08 | 93.10 | σin = 47 au | ![]() |
|
| Erf | vG | 10 | 7.92 | 67.28 | σout = 113 au | ![]() |
|
| AG | vG | 10 | 7.99 | 68.58 | Rc = 182 au | ![]() |
|
| TPL | vG | 15 | > 10 | > 100 | hHWHM = 0.193 | ![]() |
|
| Erf | vE | 11 | 3.81 | 29.44 | Σc = −4.690 | ![]() |
|
| HD 76582 | AG | vE | 11 | 3.50 | 27.01 | PA = 103.2° | ![]() |
| DPL | vL | 10 | 2.09 | 6.61 | dRA = −0.″029 | ![]() |
|
| Erf | vL | 10 | 1.63 | 4.52 | dDec = 0.″036 | ![]() |
|
| AG | vL | 10 | 0 | 0 | i = 72.1° | ![]() |
|
| DPL | vDG | 12 | 2.98 | 35.04 | F* = 3.2 × 10−5 Jy | ![]() |
|
| Erf | vDG | 12 | 2.94 | 34.75 | |||
| AG | vDG | 12 | 2.81 | 33.92 | |||
| R1 = 77.63 au | ![]() |
||||||
| R2 = 84.46 au | ![]() |
||||||
| DPL | vG | 10 | 5.29 | 7.99 | σ1 = 3.2 au | ![]() |
|
| DG | vG | 12 | 0 | 0 | σ2 = 24 au | ![]() |
|
| G | vG | 9 | > 10 | 42.41 | C1 = 0.977 | ![]() |
|
| HD 109573 | AG | vG | 10 | 7.68 | 39.63 | hHWHM = 0.0065 | ![]() |
| DG | vE | 13 | 0.95 | 14.06 | Σc = −2.810 | ![]() |
|
| DG | vL | 12 | 0.09 | 0.15 | PA = 26.52° | ![]() |
|
| DG | vDG | 14 | 1.54 | 28.03 | dRA = 0.″0130 | ![]() |
|
| dDec = −0.″0400 | ![]() |
||||||
| i = 76.57° | ![]() |
||||||
| F* = 2.3 × 10−5 Jy | ![]() |
||||||
| R1 = 90.77 au | ![]() |
||||||
| R2 = 96.8 au | ![]() |
||||||
| DPL | vG | 10 | > 10 | > 100 | σ1 = 1.03 au | ![]() |
|
| DG | vG | 12 | 0.90 | 0 | σ2 = 20.4 au | ![]() |
|
| G | vG | 9 | > 10 | > 100 | C1 = 0.968 | ![]() |
|
| HD 131488 | DPL | vE | 11 | > 10 | > 100 | hHWHM = 0.0048 | ![]() |
| DG | vE | 13 | 0 | 11.63 | Σc = −2.136 | ![]() |
|
| DPL | vL | 10 | > 10 | > 100 | PA = 97.304° | ![]() |
|
| DG | vL | 12 | 1.26 | 1.14 | dRA = 0.″0017 | ![]() |
|
| dDec = −0.″007 | ![]() |
||||||
| i = 84.91° | ![]() |
||||||
| F* = 4.3 × 10−5 Jy | ![]() |
||||||
| R1 = 69.0 au | ![]() |
||||||
| R2 = 107.7 au | ![]() |
||||||
| σ1 = 4.7 au | ![]() |
||||||
| DPL | vG | 10 | > 10 | > 100 | σ2 = 42.7 au | ![]() |
|
| DG | vG | 12 | 0.55 | 1.08 | C1 = 0.877 | ![]() |
|
| HD 131835 | TG | vG | 15 | 1.67 | 43.94 | hHWHM = 0.017 | ![]() |
| DG | vE | 13 | 1.26 | 16.22 | Σc = −2.915 | ![]() |
|
| DG | vL | 12 | 0 | 0 | PA = 58.90° | ![]() |
|
| DG | vDG | 14 | 1.46 | 30.01 | dRA = 0.″0007 | ![]() |
|
| dDec= −0.″0063 | ![]() |
||||||
| i = 74.5° | ![]() |
||||||
| F* = 4.3 × 10−6 Jy | ![]() |
||||||
| αin = 1.24 | ![]() |
||||||
| αout = −5.3 | ![]() |
||||||
| DPL | vG | 10 | 3.48 | 12.04 | Rc = 160 au | ![]() |
|
| DG | vG | 12 | 3.29 | 34.57 | hHWHM = 0.192 | ![]() |
|
| HD 161868 | DPL | vE | 11 | 1.94 | 14.71 | Σc = −4.896 | ![]() |
| DPL | vL | 10 | 1.26 | 0 | PA = 57.8° | ![]() |
|
| DPL | vDG | 12 | 0 | 20.79 | dRA = −0.″004 | ![]() |
|
| dDec = −0.″08 | ![]() |
||||||
| i = 66.7° | ![]() |
||||||
| F* = 1.7 × 10−4 Jy | ![]() |
||||||
| αin = 4.5 | ![]() |
||||||
| αout = −12.2 | ![]() |
||||||
| DPL | vG | 12 | 6.21 | 34.01 | Rc = 37.4 au | ![]() |
|
| DG | vG | 14 | 3.35 | 26.87 | hHWHM = 0.0026 | ![]() |
|
| DPL | vE | 13 | 3.13 | 14.65 | Σc = −3.756 | ![]() |
|
| HD 197481 | DG | vE | 15 | 0 | 23.33 | PA = 128.73° | ![]() |
| DPL | vL | 12 | 2.49 | 0 | dRA = −0.″019 | ![]() |
|
| DG | vL | 14 | 2.95 | 24.17 | dDec = −0.″012 | ![]() |
|
| DPL | vDG | 14 | 1.20 | 15.57 | i = 88.16° | ![]() |
|
| DG | vDG | 16 | 1.09 | 36.58 | F1 = 3.5 × 10−4 Jy | ![]() |
|
| F*2 = 1.5 × 10−4 Jy | ![]() |
||||||
| F*3 = 2.0 × 10−4 Jy | ![]() |
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Notes. We use the AIC and BIC to identify a fiducial model for each source, shown in bold. We show the ∆AIC value in terms of a confidence level from the best-fit AIC model (the model with ∆AIC= 0), and we show the ∆BIC as a difference from the best-fit BIC model (the model with ∆BIC= 0). The rightmost columns show the best-fit and 50th percentile values for the fiducial models, with errors showing the 16th and 84th percentiles. The surface density normalization factor Σc is parametrized as an exponent; the units of 10Σc are g cm−2.
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