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174 BAINES ET AL. Vol. 140Table 6Observed Diameter Fit Residuals and Calculated Binary Visibility ResidualsHD Obs Date σ res ΔV max , P.A. = 0 ◦ ΔV max , P.A. = 30 ◦ ΔV max , P.A. = 60 ◦G5V K0V K5V M0V M5V G5V K0V K5V M0V M5V G5V K0V K5V M0V M5V10697 2005 Oct 23 0.092 0.221 0.162 0.098 0.058 0.024 0.232 0.164 0.096 0.055 0.022 0.225 0.162 0.098 0.058 0.0242007 Sep 14 0.053 0.221 0.162 0.098 0.058 0.024 0.232 0.164 0.096 0.055 0.022 0.225 0.162 0.098 0.058 0.02413189 2005 Dec 12 0.033 0.001 0.000 0.000 0.000 0.000 0.001 0.000 0.000 0.000 0.000 0.001 0.000 0.000 0.000 0.0002006 Aug 14 0.019 0.001 0.000 0.000 0.000 0.000 0.001 0.000 0.000 0.000 0.000 0.001 0.000 0.000 0.000 0.00032518 2007 Nov 14 0.036 0.011 0.008 0.005 0.003 0.001 0.012 0.008 0.005 0.003 0.001 0.011 0.008 0.005 0.003 0.00145410 2008 Sep 11 0.052 0.047 0.033 0.019 0.010 0.004 0.046 0.032 0.019 0.010 0.004 0.047 0.033 0.019 0.010 0.00450554 2005 Dec 12 0.047 0.448 0.346 0.213 0.112 0.057 0.445 0.365 0.238 0.135 0.062 0.485 0.384 0.244 0.137 0.06173108 2008 May 9 0.018 0.200 0.201 0.202 0.202 0.202 0.201 0.201 0.201 0.202 0.202 0.199 0.201 0.202 0.202 0.202136726 2008 May 9 0.018 0.194 0.194 0.194 0.194 0.195 0.194 0.194 0.194 0.194 0.195 0.193 0.194 0.194 0.194 0.195139357 2007 Sep 14 0.019 0.008 0.005 0.003 0.002 0.001 0.008 0.005 0.003 0.002 0.001 0.008 0.005 0.003 0.002 0.001145675 2006 Aug 12 0.056 0.543 0.460 0.302 0.166 0.076 0.401 0.420 0.301 0.165 0.046 0.542 0.459 0.302 0.169 0.077154345 2008 Sep 10 0.039 0.256 0.336 0.282 0.186 0.094 0.493 0.529 0.391 0.233 0.099 0.272 0.361 0.328 0.211 0.094164922 2008 Aug 11 0.161 0.564 0.489 0.322 0.183 0.082 0.608 0.481 0.306 0.167 0.069 0.562 0.487 0.321 0.183 0.082167042 2007 Sep 15 0.040 0.045 0.032 0.019 0.011 0.004 0.046 0.032 0.019 0.011 0.004 0.046 0.032 0.018 0.011 0.004170693 2007 Sep 3 0.037 0.219 0.219 0.220 0.220 0.220 0.219 0.219 0.220 0.220 0.220 0.218 0.219 0.220 0.220 0.220185269 2008 Jul 18 0.078 0.193 0.139 0.086 0.047 0.019 0.203 0.146 0.087 0.047 0.018 0.137 0.098 0.058 0.032 0.0132008 Jul 20 0.079 0.193 0.139 0.086 0.047 0.019 0.203 0.146 0.087 0.047 0.018 0.137 0.098 0.058 0.032 0.013188310 2008 Sep 8 0.012 0.151 0.152 0.153 0.154 0.155 0.151 0.152 0.153 0.154 0.155 0.152 0.152 0.153 0.154 0.155199665 2008 Sep 8 0.054 0.020 0.014 0.008 0.004 0.002 0.020 0.014 0.008 0.004 0.002 0.020 0.014 0.008 0.004 0.002210702 2008 Sep 8 0.025 0.060 0.042 0.024 0.013 0.006 0.059 0.041 0.024 0.013 0.006 0.059 0.041 0.024 0.013 0.006217107 2008 Sep 8 0.017 0.496 0.376 0.239 0.148 0.061 0.499 0.374 0.234 0.140 0.059 0.454 0.339 0.213 0.131 0.058221345 2008 Sep 11 0.013 0.007 0.005 0.003 0.002 0.001 0.007 0.005 0.003 0.002 0.001 0.007 0.005 0.003 0.002 0.001222404 2008 Sep 11 0.006 0.182 0.187 0.192 0.196 0.198 0.182 0.187 0.192 0.196 0.198 0.182 0.187 0.192 0.196 0.198Note. P.A. is <strong>the</strong> position angle.Table 7Eliminating Certain Secondary StarsHD Obs Date P.A. = 0 ◦ P.A. = 30 ◦ P.A. = 60 ◦G5V K0V K5V M0V M5V G5V K0V K5V M0V M5V G5V K0V K5V M0V M5V10697 2005 Oct 23 X P P P P X P P P P X P P P P2007 Sep 14 X X P P P X X P P P X X P P P13189 2005 Dec 12 P P P P P P P P P P P P P P P2006 Aug 14 P P P P P P P P P P P P P P P32518 2007 Nov 14 P P P P P P P P P P P P P P P45410 2008 Sep 11 P P P P P P P P P P P P P P P50554 2005 Dec 12 X X X X P X X X X P X X X X P73108 2008 May 9 X X X X X X X X X X X X X X X136726 2008 May 9 X X X X X X X X X X X X X X X139357 2007 Sep 14 P P P P P P P P P P P P P P P145675 2006 Aug 12 X X X X P X X X X P X X X X P154345 2008 Sep 10 X X X X X X X X X X X X X X X164922 2008 Aug 11 X X P P P X X P P P X X P P P167042 2007 Sep 15 P P P P P P P P P P P P P P P170693 2007 Sep 3 X X X X X X X X X X X X X X X185269 2008 Jul 18 X P P P P X P P P P P P P P P2008 Jul 20 X P P P P X P P P P P P P P P188310 2008 Sep 8 X X X X X X X X X X X X X X X199665 2008 Sep 8 P P P P P P P P P P P P P P P210702 2008 Sep 8 X P P P P X P P P P X P P P P217107 2008 Sep 8 X X X X X X X X X X X X X X X221345 2008 Sep 11 P P P P P P P P P P P P P P P222404 2008 Sep 11 X X X X X X X X X X X X X X XNote. “X” indicates a <strong>secondary</strong> star of that spectral type can be ruled <strong>out</strong> from <strong>the</strong> observations, while “P” means a <strong>secondary</strong> star with that spectral type is still apossibility in <strong>the</strong> system.by performing <strong>the</strong> diameter fit <strong>to</strong> <strong>the</strong> data. For each θ LD fit, <strong>the</strong>errors were derived via <strong>the</strong> reduced χ 2 minimization method(Wall & Jenkins 2003; Press et al. 1992): <strong>the</strong> diameter fit with<strong>the</strong> lowest χ 2 was found and <strong>the</strong> corresponding diameter was<strong>the</strong> final θ LD for <strong>the</strong> star. The errors were calculated by finding<strong>the</strong> diameter at χ 2 + 1 on ei<strong>the</strong>r side of <strong>the</strong> minimum χ 2 anddetermining <strong>the</strong> difference between <strong>the</strong> χ 2 diameter and χ 2 +1diameter. In calculating <strong>the</strong> diameter errors in Table 4, weadjusted <strong>the</strong> estimated visibility errors <strong>to</strong> force <strong>the</strong> reduced χ 2<strong>to</strong> unity because when this is omitted, <strong>the</strong> reduced χ 2 is wellunder 1.0, indicating we are overestimating <strong>the</strong> errors in ourcalibrated visibilities.

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