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Table 5

Separation, magnitude difference (left), chance projection probability (middle) depending on the sample and method used, and proper motion comment and binding status of potential companion to the main object (right).

Star Proj. sep. prob. sep. prob. sep.1 Max proj. Δmag P(field)2 P(field)2 P(field) Pcut-off P,P, P′′(field)3 Comments Status
au sep. for δmag < 8.5m NACO trilegal% trilegal 2MASS Motion
10 000 au % all, ±2m, ±1m % % %
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13)

Pistol Star_4 0.75 1.21 9698 0.77 3.12.3 11 100, 9, 5 46 42 5, 4, 5 A borderline
Pistol Star_3 1 1.61 12931 0.77 4.13.7 20 100, 40, 15 66 42 9, 9, 9 B field
Pistol Star_1 1.39 2.24 17974 0.77 54.9 39 100, 100, 71 88 42 16, 15, 16 C field
Pistol Star_2 1.44 2.32 18620 0.77 55 42 100, 100, 77 90 42 17, 15, 15 C field
WR102ka_b 1.35 1.49 11920 0.77 ~5 90 25, 0, 0 22 42 13, 12, 13 D field
WR102ka_c 1.98 2.19 17520 0.77 3.5 100 52, 0, 0 41 42 29, 25, 25 D field
LBV1806-20b 0.76 1.23 14495 0.52 6.6 20 5, 5, 4 18 62 3, 3, 3 field
LBV1806-20c 0.9 1.45 17166 0.52 6.6 28 8, 8, 5 24 62 4, 4, 4 field
LBV1806-20d 1.3 2.1 24795 0.52 6.6 59 15, 15, 13 44 62 9, 9, 9 field
HD 168625b 1.15 1.86 4089* 2.81 4.64.4 5 2, 1, 1 <1 12 3,3,3 E bound
HD 168625b real4 1.15 1.33 2927** 3.94 4.64.4 5 2, 1, 1 <1 12 3, 3, 3 E bound
HD 168607b 2.02 3.26 7183 2.81 10.1 100 8, 7, 7 65 12 7, 6, 7 field
HD 168607c 4.19 6.76 14899 2.81 9.1 100 31, 31, 16 99 12 29, 25, 25 field
HD 168607d 5.19 8.37 18455 2.81 10.1 100 45, 45, 35 100 12 45, 36, 36 field
MWC930b 2.88 4.65 16293 1.77 7.2 100 2, 2, 2 79 18 14,13,13 field
MWC930c 1.31 2.11 7411 1.77 >8 46 1, 1, 0 27 18 3,3,3 B field
MWC314b <1 mas 1.22 2.06 <1 16 <1, <1, <1 F bound
MWC314c 1.18 1.9 5722 2.06 3.34.2 29 2, 1, 1 8 16 4, 4, 4 bound
HD 152234b 0.51 0.83 1590 3.24 14 7, 7, 0 12 10 1, 1, 1 G borderline
WR102e_b 0.71 1.15 9181 0.77 2.62.6 10 100, 94, 51 43 42 4,4,4 B field
HD 164794b 2-8 mas 14 4.48 <1 8 <1, <1, <1 H bound
HD 164794c 2.4 3.87 6129 3.92 7.7 86 100, 100, 100 57 8 16, 15, 15 field
HD 164794d 3.5 5.65 8938 3.92 8.5 100 100, 100, 100 83 8 35, 29, 30 field
HD 164794e 4.6 7.42 11748 3.92 8.7 100 100, 100, 96 96 8 61, 45, 45 field

Notes. Blue values are larger than the defined limit (see text). Details of the columns are indicated at the bottom of the Table. Column details: Col. 1: star ID, Col. 2: projected separation as measured in the image, Cols. 3 and 4: probable deprojected separation in arcsec or in au, Col. 5: maximum projected separation in arcsec corresponding to 10 000 au, Col. 6: magnitude difference, Col. 71: chance projection probability P(field) in NACO images, Col. 8: P(field) using the trilegal model results and with counting from no restriction to ±1m difference with the main star, Col. 9: chance projection probability P(field) following the formula of Correia et al. (2006) with trilegal data, Col. 10: cut-off probability limit for P (see text), Col. 112: chance projection probability comparison P(field), P(field), with P′′(field) following the formula of Ciardullo et al. (1999) and using 2MASS data. Col. 12: proper motion comment, Col. 13: status of the potential companion: “bound”, “borderline”, “field”. Table notes: A: no motion estimates, B: large motion indicating a foreground object, C: small motion, D: only SINFONI “image”, E: small motion, low projected speed, F: see Lobel et al. (2013), G: only VISIR image, H: see Rauw et al. (2012). The error in the chance projection probability estimates is usually lower than 1% (see text).

(1)

Probable separation should be 10 000 au.

(2)

P(field) 10%.

(3)

Probabilities should be 5%.

(4)

“real” stands for companion in the disk plane with an inclination angle of 60° (O’Hara et al. 2003; Smith 2007) corresponding to a deprojection of 30°.

(*)

The separation goes up to 5205 au if the largest distance is considered

(**)

The separation goes up to 3725 au.

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