Summary of the updated space density calculation following the method of Burningham et al. (2010b) for our J < 18.8 sample of ≥T6 dwarfs. Nc refers to corrected numbers based on the sample corrections described in the text, with maximum and minimum values arising from the different possible binary corrections. The values of MJ used to calculate the distance limit and volume probed for each type were calculated using the polynomial relations in MJ versus spectral type derived by Dupuy & Liu (2012). The uncertainties in MJ reflect the rms scatter about the Dupuy & Liu (2012) polynomials. The uncertainties in the computed space densities reflect the volume uncertainty that arises from the uncertainty in MJ and Poisson noise in our sample. The minimum and maximum space densities reflect the range encompassed by likely binary fractions (see the text and Burningham et al. 2010b). The latest spectral types are on the Cushing et al. (2011) system.
Type . | Teff range . | N . | Nc(min) . | Nc(max) . | MJ(MKO) . | Range (pc) . | Volume (pc3) . | ρmin (10−3 pc−3) . | ρmax (10−3 pc−3) . |
---|---|---|---|---|---|---|---|---|---|
T6–6.5 | 900–1050 K | 40 | 19.4 ± 3.1 | 35.6 ± 5.7 | 14.90 ± 0.39 | 60 ± 11 | 50 400 ± 27 100 | 0.39 ± 0.22 | 0.71 ± 0.40 |
T7–7.5 | 800–900 K | 21 | 10.0 ± 2.2 | 18.5 ± 4.0 | 15.65 ± 0.39 | 43 ± 8 | 18 000 ± 9700 | 0.56 ± 0.32 | 1.02 ± 0.64 |
T8–8.5 | 500–800 K | 17 | 6.7 ± 1.8 | 12.3 ± 3.3 | 16.75 ± 0.39 | 26 ± 5 | 3900 ± 2100 | 2.05 ± 1.21 | 3.79 ± 2.24 |
Type . | Teff range . | N . | Nc(min) . | Nc(max) . | MJ(MKO) . | Range (pc) . | Volume (pc3) . | ρmin (10−3 pc−3) . | ρmax (10−3 pc−3) . |
---|---|---|---|---|---|---|---|---|---|
T6–6.5 | 900–1050 K | 40 | 19.4 ± 3.1 | 35.6 ± 5.7 | 14.90 ± 0.39 | 60 ± 11 | 50 400 ± 27 100 | 0.39 ± 0.22 | 0.71 ± 0.40 |
T7–7.5 | 800–900 K | 21 | 10.0 ± 2.2 | 18.5 ± 4.0 | 15.65 ± 0.39 | 43 ± 8 | 18 000 ± 9700 | 0.56 ± 0.32 | 1.02 ± 0.64 |
T8–8.5 | 500–800 K | 17 | 6.7 ± 1.8 | 12.3 ± 3.3 | 16.75 ± 0.39 | 26 ± 5 | 3900 ± 2100 | 2.05 ± 1.21 | 3.79 ± 2.24 |
Summary of the updated space density calculation following the method of Burningham et al. (2010b) for our J < 18.8 sample of ≥T6 dwarfs. Nc refers to corrected numbers based on the sample corrections described in the text, with maximum and minimum values arising from the different possible binary corrections. The values of MJ used to calculate the distance limit and volume probed for each type were calculated using the polynomial relations in MJ versus spectral type derived by Dupuy & Liu (2012). The uncertainties in MJ reflect the rms scatter about the Dupuy & Liu (2012) polynomials. The uncertainties in the computed space densities reflect the volume uncertainty that arises from the uncertainty in MJ and Poisson noise in our sample. The minimum and maximum space densities reflect the range encompassed by likely binary fractions (see the text and Burningham et al. 2010b). The latest spectral types are on the Cushing et al. (2011) system.
Type . | Teff range . | N . | Nc(min) . | Nc(max) . | MJ(MKO) . | Range (pc) . | Volume (pc3) . | ρmin (10−3 pc−3) . | ρmax (10−3 pc−3) . |
---|---|---|---|---|---|---|---|---|---|
T6–6.5 | 900–1050 K | 40 | 19.4 ± 3.1 | 35.6 ± 5.7 | 14.90 ± 0.39 | 60 ± 11 | 50 400 ± 27 100 | 0.39 ± 0.22 | 0.71 ± 0.40 |
T7–7.5 | 800–900 K | 21 | 10.0 ± 2.2 | 18.5 ± 4.0 | 15.65 ± 0.39 | 43 ± 8 | 18 000 ± 9700 | 0.56 ± 0.32 | 1.02 ± 0.64 |
T8–8.5 | 500–800 K | 17 | 6.7 ± 1.8 | 12.3 ± 3.3 | 16.75 ± 0.39 | 26 ± 5 | 3900 ± 2100 | 2.05 ± 1.21 | 3.79 ± 2.24 |
Type . | Teff range . | N . | Nc(min) . | Nc(max) . | MJ(MKO) . | Range (pc) . | Volume (pc3) . | ρmin (10−3 pc−3) . | ρmax (10−3 pc−3) . |
---|---|---|---|---|---|---|---|---|---|
T6–6.5 | 900–1050 K | 40 | 19.4 ± 3.1 | 35.6 ± 5.7 | 14.90 ± 0.39 | 60 ± 11 | 50 400 ± 27 100 | 0.39 ± 0.22 | 0.71 ± 0.40 |
T7–7.5 | 800–900 K | 21 | 10.0 ± 2.2 | 18.5 ± 4.0 | 15.65 ± 0.39 | 43 ± 8 | 18 000 ± 9700 | 0.56 ± 0.32 | 1.02 ± 0.64 |
T8–8.5 | 500–800 K | 17 | 6.7 ± 1.8 | 12.3 ± 3.3 | 16.75 ± 0.39 | 26 ± 5 | 3900 ± 2100 | 2.05 ± 1.21 | 3.79 ± 2.24 |
This PDF is available to Subscribers Only
View Article Abstract & Purchase OptionsFor full access to this pdf, sign in to an existing account, or purchase an annual subscription.